hmmfit: Estimate the parameters of a general zero-inflated Poisson...
In ziphsmm: Zero-Inflated Poisson Hidden (Semi-)Markov Models
Description
Usage
Arguments
Value
References
Examples
Description
Estimate the parameters of a general zero-inflated Poisson hidden Markov model
by directly minimizing of the negative log-likelihood function using the
gradient descent algorithm.
Usage
1
2
3
Arguments
y
observed time series values
ntimes
a vector specifying the lengths of individual,
i.e. independent, time series. If not specified, the responses are assumed to
form a single time series, i.e. ntimes=length(y)
M
number of latent states
prior_init
a vector of initial values for prior probability for each state
tpm_init
a matrix of initial values for transition probability matrix
emit_init
a vector of initial values for the means for each poisson distribution
zero_init
a vector of initial values for the structural zero proportions in each state
prior_x
matrix of covariates for generalized logit of prior probabilites (excluding the
1st probability). Default to NULL.
tpm_x
matrix of covariates for transition probability matrix (excluding the 1st column).
Default to NULL.
emit_x
matrix of covariates for the log poisson means. Default to NULL.
zeroinfl_x
matrix of covariates for the nonzero structural zero proportions. Default to NULL.
method
method to be used for direct numeric optimization. See details in
the help page for optim() function. Default to Nelder-Mead.
hessian
Logical. Should a numerically differentiated Hessian matrix be returned?
Note that the hessian is for the working parameters, which are the generalized logit of prior
probabilities (except for state 1), the generalized logit of the transition probability
matrix(except 1st column), the logit of non-zero zero proportions, and the log of
each state-dependent poisson means
...
Further arguments passed on to the optimization methods
Value
the maximum likelihood estimates of the zero-inflated hidden Markov model
References
Walter Zucchini, Iain L. MacDonald, Roland Langrock. Hidden Markov Models for
Time Series: An Introduction Using R, Second Edition. Chapman & Hall/CRC
Examples
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prior_init <- c(0.5,0.2,0.3)
emit_init <- c(10,40,70)
zero_init <- c(0.5,0,0)
omega <- matrix(c(0.5,0.3,0.2,0.4,0.3,0.3,0.2,0.4,0.4),3,3,byrow=TRUE)
result <- hmmsim(n=1000,M=3,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=3,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=TRUE,control=list(maxit=500,trace=1))
str(fit)
#variances for the 12 working parameters, which are the logit of prior probabilities
#for state 2 and state 3, the generalized logit of the transition probability matrix
#(tpm[1,2],tpm[1,3],tpm[2,2],tpm[2,3],tpm[3,2],tpm[3,3]), the logit of structural zero
#proportions for state 1, and log of poisson means for state 1, 2, and 3
#logit of non-zero zero proportions, and the log of poisson means
variance <- diag(solve(fit$obsinfo))
#with covariates
data(CAT)
y <- CAT$activity
x <- data.matrix(CAT$night)
prior_init <- c(0.5,0.2,0.3)
emit_init <- c(10,50,100)
zero_init <- c(0.5,0,0)
omega <- matrix(c(0.5,0.3,0.2,0.4,0.3,0.3,0.2,0.4,0.4),3,3,byrow=TRUE)
fit2 <- hmmfit(y,rep(1440,3),3,prior_init,omega,
emit_init,zero_init, emit_x=x,zeroinfl_x=x,hessian=FALSE,
method="Nelder-Mead", control=list(maxit=500,trace=1))
fit2
## Not run:
#two zero-inflated poissons
prior_init <- c(0.5,0.5)
emit_init <- c(10,50)
zero_init <- c(0.6,0.3)
omega <- matrix(c(0.9,0.1,0.2,0.8),2,2,byrow=TRUE)
result <- hmmsim(n=1000,M=2,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=2,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=FALSE,control=list(maxit=500,trace=1))
str(fit)
#four regular poissons
prior_init <- c(0.4,0.2,0.2,0.2)
emit_init <- c(10,40,70,100)
zero_init <- c(0,0,0,0)
omega <- matrix(c(0.3,0.3,0.2,0.2,0.4,0.2,0.3,0.1,
0.2,0.2,0.3,0.3,0.1,0.2,0.3,0.4),4,4,byrow=TRUE)
result <- hmmsim(n=1000,M=4,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=4,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=FALSE,control=list(maxit=500,trace=1))
str(fit)
## End(Not run)
Example output
Nelder-Mead direct search function minimizer
function value for initial parameters = 3885.533768
Scaled convergence tolerance is 5.7899e-05
Stepsize computed as 0.424850
BUILD 13 5368.825532 3885.256310
LO-REDUCTION 15 5033.745195 3885.256310
LO-REDUCTION 17 4261.541183 3885.256310
HI-REDUCTION 19 4098.481383 3885.256310
HI-REDUCTION 21 4087.116660 3885.256310
LO-REDUCTION 23 3971.540957 3885.256310
HI-REDUCTION 25 3947.590823 3885.256310
LO-REDUCTION 27 3915.288979 3885.256310
HI-REDUCTION 29 3902.140803 3885.256310
HI-REDUCTION 31 3895.741580 3885.256310
LO-REDUCTION 33 3895.563517 3883.434811
HI-REDUCTION 35 3895.052024 3883.434811
LO-REDUCTION 37 3894.559515 3882.670354
LO-REDUCTION 39 3892.421867 3882.670354
LO-REDUCTION 41 3891.451688 3882.670354
HI-REDUCTION 43 3889.334036 3882.670354
LO-REDUCTION 45 3887.700675 3882.670354
HI-REDUCTION 47 3887.086992 3882.670354
HI-REDUCTION 49 3886.950437 3882.670354
HI-REDUCTION 51 3886.199233 3882.670354
LO-REDUCTION 53 3885.634402 3882.670354
REFLECTION 55 3885.533768 3881.878218
LO-REDUCTION 57 3885.256310 3881.878218
LO-REDUCTION 59 3885.048636 3881.878218
LO-REDUCTION 61 3884.092288 3881.865432
LO-REDUCTION 63 3883.755032 3881.865432
HI-REDUCTION 65 3883.617734 3881.865432
LO-REDUCTION 67 3883.603600 3881.865432
LO-REDUCTION 69 3883.567713 3881.843523
HI-REDUCTION 71 3883.489858 3881.843523
LO-REDUCTION 73 3883.476468 3881.843523
LO-REDUCTION 75 3883.434811 3881.827887
LO-REDUCTION 77 3882.670354 3881.827887
HI-REDUCTION 79 3882.363504 3881.827887
LO-REDUCTION 81 3882.262243 3881.729216
LO-REDUCTION 83 3882.114567 3881.608713
REFLECTION 85 3882.059322 3881.453122
LO-REDUCTION 87 3882.003454 3881.453122
LO-REDUCTION 89 3881.924343 3881.453122
REFLECTION 91 3881.912752 3881.374685
LO-REDUCTION 93 3881.878218 3881.374685
LO-REDUCTION 95 3881.873888 3881.374685
LO-REDUCTION 97 3881.865432 3881.374685
HI-REDUCTION 99 3881.863342 3881.374685
LO-REDUCTION 101 3881.843523 3881.374685
LO-REDUCTION 103 3881.827887 3881.374685
LO-REDUCTION 105 3881.729216 3881.374685
LO-REDUCTION 107 3881.653589 3881.374685
LO-REDUCTION 109 3881.651092 3881.374685
LO-REDUCTION 111 3881.608713 3881.374685
LO-REDUCTION 113 3881.592092 3881.374685
LO-REDUCTION 115 3881.550284 3881.374685
LO-REDUCTION 117 3881.542684 3881.374685
LO-REDUCTION 119 3881.531438 3881.374685
EXTENSION 121 3881.500277 3881.214889
LO-REDUCTION 123 3881.495316 3881.214889
LO-REDUCTION 125 3881.460973 3881.214889
LO-REDUCTION 127 3881.453747 3881.214889
LO-REDUCTION 129 3881.453122 3881.214889
LO-REDUCTION 131 3881.427865 3881.214889
LO-REDUCTION 133 3881.417338 3881.214889
LO-REDUCTION 135 3881.416406 3881.214889
LO-REDUCTION 137 3881.403342 3881.214889
LO-REDUCTION 139 3881.378700 3881.214889
LO-REDUCTION 141 3881.378644 3881.214889
EXTENSION 143 3881.374685 3881.207126
LO-REDUCTION 145 3881.362274 3881.207126
LO-REDUCTION 147 3881.357018 3881.207126
LO-REDUCTION 149 3881.321606 3881.207126
REFLECTION 151 3881.315555 3881.173355
LO-REDUCTION 153 3881.307394 3881.173355
EXTENSION 155 3881.299228 3881.071515
LO-REDUCTION 157 3881.265836 3881.071515
LO-REDUCTION 159 3881.258391 3881.071515
LO-REDUCTION 161 3881.255135 3881.071515
LO-REDUCTION 163 3881.228626 3881.071515
LO-REDUCTION 165 3881.214889 3881.071515
LO-REDUCTION 167 3881.214785 3881.071515
LO-REDUCTION 169 3881.214524 3881.071515
LO-REDUCTION 171 3881.209649 3881.071515
LO-REDUCTION 173 3881.207126 3881.071515
LO-REDUCTION 175 3881.205240 3881.071515
EXTENSION 177 3881.173355 3881.012288
LO-REDUCTION 179 3881.169978 3881.012288
LO-REDUCTION 181 3881.161888 3881.012288
LO-REDUCTION 183 3881.149412 3881.012288
EXTENSION 185 3881.132285 3880.957666
LO-REDUCTION 187 3881.128574 3880.957666
LO-REDUCTION 189 3881.125751 3880.957666
LO-REDUCTION 191 3881.123575 3880.957666
EXTENSION 193 3881.109821 3880.927344
LO-REDUCTION 195 3881.096002 3880.927344
LO-REDUCTION 197 3881.092657 3880.927344
LO-REDUCTION 199 3881.083321 3880.927344
REFLECTION 201 3881.071515 3880.922697
LO-REDUCTION 203 3881.050245 3880.922697
EXTENSION 205 3881.021833 3880.868865
LO-REDUCTION 207 3881.012288 3880.868865
LO-REDUCTION 209 3881.010990 3880.868865
EXTENSION 211 3881.004248 3880.819718
LO-REDUCTION 213 3880.998464 3880.819718
LO-REDUCTION 215 3880.975970 3880.819718
LO-REDUCTION 217 3880.957666 3880.819718
LO-REDUCTION 219 3880.955610 3880.819718
LO-REDUCTION 221 3880.938850 3880.819718
LO-REDUCTION 223 3880.928480 3880.819718
LO-REDUCTION 225 3880.927344 3880.819718
LO-REDUCTION 227 3880.925434 3880.819718
EXTENSION 229 3880.922697 3880.785007
LO-REDUCTION 231 3880.916110 3880.785007
LO-REDUCTION 233 3880.872043 3880.785007
EXTENSION 235 3880.868865 3880.754664
LO-REDUCTION 237 3880.861594 3880.754664
LO-REDUCTION 239 3880.859289 3880.754664
EXTENSION 241 3880.851400 3880.717304
LO-REDUCTION 243 3880.848885 3880.717304
LO-REDUCTION 245 3880.846629 3880.717304
LO-REDUCTION 247 3880.841119 3880.717304
LO-REDUCTION 249 3880.840785 3880.717304
LO-REDUCTION 251 3880.819718 3880.717304
LO-REDUCTION 253 3880.796508 3880.717304
LO-REDUCTION 255 3880.793373 3880.717304
EXTENSION 257 3880.791924 3880.704150
LO-REDUCTION 259 3880.785007 3880.704150
LO-REDUCTION 261 3880.776758 3880.704150
REFLECTION 263 3880.774552 3880.699345
REFLECTION 265 3880.762162 3880.695832
EXTENSION 267 3880.760529 3880.668188
EXTENSION 269 3880.754664 3880.651640
LO-REDUCTION 271 3880.741943 3880.651640
LO-REDUCTION 273 3880.734024 3880.651640
LO-REDUCTION 275 3880.722179 3880.651640
LO-REDUCTION 277 3880.720580 3880.651640
LO-REDUCTION 279 3880.719537 3880.651640
LO-REDUCTION 281 3880.717304 3880.651640
LO-REDUCTION 283 3880.715406 3880.651640
REFLECTION 285 3880.704150 3880.649028
LO-REDUCTION 287 3880.699345 3880.649028
REFLECTION 289 3880.695832 3880.647519
REFLECTION 291 3880.676843 3880.635297
EXTENSION 293 3880.671449 3880.609987
LO-REDUCTION 295 3880.671315 3880.609987
LO-REDUCTION 297 3880.668531 3880.609987
LO-REDUCTION 299 3880.668188 3880.609987
LO-REDUCTION 301 3880.663895 3880.609987
EXTENSION 303 3880.660438 3880.592701
LO-REDUCTION 305 3880.660321 3880.592701
LO-REDUCTION 307 3880.651640 3880.592701
LO-REDUCTION 309 3880.650595 3880.592701
EXTENSION 311 3880.649028 3880.576295
LO-REDUCTION 313 3880.647519 3880.576295
EXTENSION 315 3880.635297 3880.554944
LO-REDUCTION 317 3880.630423 3880.554944
LO-REDUCTION 319 3880.628017 3880.554944
LO-REDUCTION 321 3880.627854 3880.554944
LO-REDUCTION 323 3880.627849 3880.554944
EXTENSION 325 3880.616807 3880.512352
LO-REDUCTION 327 3880.613469 3880.512352
LO-REDUCTION 329 3880.613198 3880.512352
LO-REDUCTION 331 3880.609987 3880.512352
LO-REDUCTION 333 3880.603064 3880.512352
EXTENSION 335 3880.592701 3880.458131
LO-REDUCTION 337 3880.578859 3880.458131
LO-REDUCTION 339 3880.578811 3880.458131
LO-REDUCTION 341 3880.576295 3880.458131
LO-REDUCTION 343 3880.562615 3880.458131
EXTENSION 345 3880.556142 3880.414610
LO-REDUCTION 347 3880.554944 3880.414610
LO-REDUCTION 349 3880.537345 3880.414610
LO-REDUCTION 351 3880.520546 3880.414610
LO-REDUCTION 353 3880.520411 3880.414610
EXTENSION 355 3880.515003 3880.398039
EXTENSION 357 3880.512352 3880.351653
LO-REDUCTION 359 3880.496550 3880.351653
LO-REDUCTION 361 3880.485463 3880.351653
LO-REDUCTION 363 3880.482660 3880.351653
LO-REDUCTION 365 3880.465136 3880.351653
LO-REDUCTION 367 3880.458131 3880.351653
EXTENSION 369 3880.439176 3880.336385
REFLECTION 371 3880.421178 3880.330300
LO-REDUCTION 373 3880.420969 3880.330300
LO-REDUCTION 375 3880.419842 3880.330300
LO-REDUCTION 377 3880.414610 3880.330300
REFLECTION 379 3880.398039 3880.322615
LO-REDUCTION 381 3880.381688 3880.322615
LO-REDUCTION 383 3880.376738 3880.322615
LO-REDUCTION 385 3880.376441 3880.322047
LO-REDUCTION 387 3880.368930 3880.322047
REFLECTION 389 3880.360792 3880.308110
LO-REDUCTION 391 3880.351653 3880.308110
LO-REDUCTION 393 3880.337490 3880.308110
LO-REDUCTION 395 3880.336695 3880.308110
LO-REDUCTION 397 3880.336385 3880.308110
HI-REDUCTION 399 3880.335965 3880.308110
EXTENSION 401 3880.334708 3880.289322
LO-REDUCTION 403 3880.330821 3880.289322
LO-REDUCTION 405 3880.330300 3880.289322
LO-REDUCTION 407 3880.326700 3880.289322
LO-REDUCTION 409 3880.322615 3880.289322
LO-REDUCTION 411 3880.322047 3880.289322
LO-REDUCTION 413 3880.318648 3880.289322
LO-REDUCTION 415 3880.318353 3880.289322
LO-REDUCTION 417 3880.318113 3880.289322
EXTENSION 419 3880.314796 3880.274362
LO-REDUCTION 421 3880.310741 3880.274362
LO-REDUCTION 423 3880.309019 3880.274362
LO-REDUCTION 425 3880.308276 3880.274362
LO-REDUCTION 427 3880.308239 3880.274362
LO-REDUCTION 429 3880.308110 3880.274362
EXTENSION 431 3880.306687 3880.261021
LO-REDUCTION 433 3880.301465 3880.261021
LO-REDUCTION 435 3880.298436 3880.261021
LO-REDUCTION 437 3880.296740 3880.261021
EXTENSION 439 3880.295184 3880.250287
LO-REDUCTION 441 3880.293747 3880.250287
EXTENSION 443 3880.289322 3880.243579
EXTENSION 445 3880.285572 3880.224476
LO-REDUCTION 447 3880.279770 3880.224476
LO-REDUCTION 449 3880.278744 3880.224476
LO-REDUCTION 451 3880.275224 3880.224476
LO-REDUCTION 453 3880.274362 3880.224476
EXTENSION 455 3880.270653 3880.212211
LO-REDUCTION 457 3880.266675 3880.212211
LO-REDUCTION 459 3880.266283 3880.212211
LO-REDUCTION 461 3880.261021 3880.212211
EXTENSION 463 3880.253145 3880.199421
LO-REDUCTION 465 3880.250287 3880.199421
LO-REDUCTION 467 3880.243579 3880.199421
LO-REDUCTION 469 3880.239209 3880.199421
EXTENSION 471 3880.236324 3880.173338
LO-REDUCTION 473 3880.234996 3880.173338
LO-REDUCTION 475 3880.228555 3880.173338
LO-REDUCTION 477 3880.228240 3880.173338
LO-REDUCTION 479 3880.224476 3880.173338
LO-REDUCTION 481 3880.222964 3880.173338
LO-REDUCTION 483 3880.219266 3880.173338
LO-REDUCTION 485 3880.212211 3880.173338
LO-REDUCTION 487 3880.211797 3880.173338
EXTENSION 489 3880.211434 3880.162162
LO-REDUCTION 491 3880.206300 3880.162162
LO-REDUCTION 493 3880.199902 3880.162162
EXTENSION 495 3880.199421 3880.151266
LO-REDUCTION 497 3880.197063 3880.151266
EXTENSION 499 3880.189110 3880.145143
Exiting from Nelder Mead minimizer
501 function evaluations used
List of 8
$ nllk : num 3880
$ aic : num 7784
$ bic : num 7843
$ obsinfo : num [1:12, 1:12] 3.12e-05 -3.00e-05 -1.14e-07 0.00 1.14e-07 ...
$ prior : num [1:3] 3.50e-02 3.12e-05 9.65e-01
$ zeroprop : num [1:3] 0.49 0 0
$ emit_parm: num [1:3] 9.83 40.29 69.36
$ tpm : num [1:3, 1:3] 0.487 0.4 0.198 0.338 0.264 ...
Nelder-Mead direct search function minimizer
function value for initial parameters = 27832.078833
Scaled convergence tolerance is 0.00041473
Stepsize computed as 0.460517
BUILD 17 31386.401453 25899.337758
HI-REDUCTION 19 31101.473796 25899.337758
LO-REDUCTION 21 28037.186573 25899.337758
EXTENSION 23 27926.985666 24710.534662
LO-REDUCTION 25 27891.406825 24710.534662
LO-REDUCTION 27 27885.316420 24710.534662
EXTENSION 29 27875.828406 23659.336999
LO-REDUCTION 31 27839.377247 23659.336999
LO-REDUCTION 33 27832.410636 23659.336999
EXTENSION 35 27832.078833 22379.964293
LO-REDUCTION 37 27831.642847 22379.964293
LO-REDUCTION 39 27781.609209 22379.964293
LO-REDUCTION 41 27748.590013 22379.964293
REFLECTION 43 27289.400380 22132.348807
HI-REDUCTION 45 27132.937441 22132.348807
REFLECTION 47 26625.993695 20362.084940
LO-REDUCTION 49 26362.083135 20362.084940
LO-REDUCTION 51 26089.239098 20362.084940
LO-REDUCTION 53 25899.337758 20362.084940
LO-REDUCTION 55 25240.908948 20362.084940
LO-REDUCTION 57 24943.306176 20362.084940
LO-REDUCTION 59 24710.534662 20362.084940
LO-REDUCTION 61 24398.356911 20362.084940
LO-REDUCTION 63 24230.554407 20362.084940
LO-REDUCTION 65 23920.051356 20362.084940
LO-REDUCTION 67 23659.336999 20362.084940
LO-REDUCTION 69 23183.505802 20362.084940
HI-REDUCTION 71 23021.106623 20362.084940
LO-REDUCTION 73 22796.434158 20362.084940
LO-REDUCTION 75 22778.510238 20362.084940
LO-REDUCTION 77 22677.885030 20362.084940
REFLECTION 79 22392.704773 20237.636429
REFLECTION 81 22379.964293 20000.373731
REFLECTION 83 22357.529409 19989.811438
REFLECTION 85 22132.348807 19455.711033
LO-REDUCTION 87 21834.354089 19455.711033
LO-REDUCTION 89 21759.255552 19455.711033
HI-REDUCTION 91 20970.155323 19455.711033
LO-REDUCTION 93 20909.072023 19455.711033
LO-REDUCTION 95 20862.426016 19455.711033
LO-REDUCTION 97 20839.328063 19455.711033
LO-REDUCTION 99 20750.801443 19455.711033
LO-REDUCTION 101 20696.748650 19455.711033
LO-REDUCTION 103 20655.049514 19455.711033
LO-REDUCTION 105 20585.049741 19455.711033
LO-REDUCTION 107 20463.889469 19455.711033
LO-REDUCTION 109 20362.084940 19455.711033
HI-REDUCTION 111 20358.221758 19455.711033
HI-REDUCTION 113 20302.639375 19455.711033
REFLECTION 115 20237.636429 19424.463625
REFLECTION 117 20000.373731 19376.470590
REFLECTION 119 19989.811438 19361.905324
LO-REDUCTION 121 19933.444297 19361.905324
LO-REDUCTION 123 19750.041985 19359.044739
LO-REDUCTION 125 19718.863440 19359.044739
LO-REDUCTION 127 19707.910482 19359.044739
LO-REDUCTION 129 19663.842046 19359.044739
LO-REDUCTION 131 19648.100088 19359.044739
LO-REDUCTION 133 19600.803735 19359.044739
LO-REDUCTION 135 19587.830642 19359.044739
LO-REDUCTION 137 19550.626487 19345.746065
LO-REDUCTION 139 19540.647715 19345.746065
LO-REDUCTION 141 19456.235378 19345.746065
LO-REDUCTION 143 19456.223012 19345.746065
LO-REDUCTION 145 19455.711033 19345.746065
HI-REDUCTION 147 19447.175314 19345.746065
LO-REDUCTION 149 19424.463625 19345.746065
REFLECTION 151 19417.069664 19315.904086
LO-REDUCTION 153 19408.892625 19315.904086
HI-REDUCTION 155 19403.809380 19315.904086
LO-REDUCTION 157 19401.173838 19315.904086
LO-REDUCTION 159 19385.918569 19315.904086
LO-REDUCTION 161 19376.470590 19315.904086
LO-REDUCTION 163 19373.472090 19315.904086
HI-REDUCTION 165 19370.738176 19315.904086
LO-REDUCTION 167 19367.149333 19315.904086
EXTENSION 169 19363.985418 19287.250447
LO-REDUCTION 171 19363.392163 19287.250447
LO-REDUCTION 173 19361.905324 19287.250447
LO-REDUCTION 175 19359.044739 19287.250447
LO-REDUCTION 177 19355.991253 19287.250447
LO-REDUCTION 179 19351.076094 19287.250447
LO-REDUCTION 181 19345.985215 19287.250447
LO-REDUCTION 183 19345.746065 19287.250447
LO-REDUCTION 185 19343.717304 19287.250447
LO-REDUCTION 187 19342.172578 19287.250447
LO-REDUCTION 189 19337.645150 19287.250447
LO-REDUCTION 191 19334.084833 19287.250447
LO-REDUCTION 193 19329.496512 19287.250447
LO-REDUCTION 195 19327.885839 19287.250447
LO-REDUCTION 197 19327.115365 19287.250447
LO-REDUCTION 199 19325.171094 19287.250447
LO-REDUCTION 201 19324.410068 19287.250447
LO-REDUCTION 203 19320.556111 19287.250447
LO-REDUCTION 205 19319.411954 19287.250447
LO-REDUCTION 207 19317.439295 19287.250447
EXTENSION 209 19315.904086 19281.411036
LO-REDUCTION 211 19312.098881 19281.411036
EXTENSION 213 19311.003511 19269.939741
LO-REDUCTION 215 19310.895002 19269.939741
LO-REDUCTION 217 19306.049268 19269.939741
LO-REDUCTION 219 19304.689599 19269.939741
LO-REDUCTION 221 19304.132059 19269.939741
LO-REDUCTION 223 19300.576230 19269.939741
LO-REDUCTION 225 19299.039352 19269.939741
LO-REDUCTION 227 19298.507149 19269.939741
LO-REDUCTION 229 19297.704899 19269.939741
EXTENSION 231 19295.094412 19257.624545
LO-REDUCTION 233 19293.983805 19257.624545
LO-REDUCTION 235 19293.876819 19257.624545
LO-REDUCTION 237 19291.163984 19257.624545
LO-REDUCTION 239 19289.868328 19257.624545
LO-REDUCTION 241 19288.355403 19257.624545
LO-REDUCTION 243 19287.250447 19257.624545
LO-REDUCTION 245 19281.411036 19257.624545
LO-REDUCTION 247 19280.239138 19257.624545
LO-REDUCTION 249 19279.775744 19257.624545
REFLECTION 251 19278.443897 19256.645400
LO-REDUCTION 253 19276.944339 19256.645400
EXTENSION 255 19274.468673 19252.978964
LO-REDUCTION 257 19272.978120 19252.978964
LO-REDUCTION 259 19272.158486 19252.978964
LO-REDUCTION 261 19271.946573 19252.978964
EXTENSION 263 19271.928145 19243.678390
LO-REDUCTION 265 19270.102679 19243.678390
LO-REDUCTION 267 19269.939741 19243.678390
LO-REDUCTION 269 19267.821973 19243.678390
LO-REDUCTION 271 19263.739180 19243.678390
LO-REDUCTION 273 19263.583887 19243.678390
LO-REDUCTION 275 19262.696643 19243.678390
LO-REDUCTION 277 19262.593468 19243.678390
LO-REDUCTION 279 19260.888467 19243.678390
EXTENSION 281 19260.025740 19239.469591
LO-REDUCTION 283 19257.624545 19239.469591
LO-REDUCTION 285 19256.645400 19239.469591
LO-REDUCTION 287 19254.184394 19239.469591
EXTENSION 289 19254.026783 19237.507386
LO-REDUCTION 291 19253.372479 19237.507386
LO-REDUCTION 293 19252.978964 19237.507386
LO-REDUCTION 295 19252.073472 19237.507386
EXTENSION 297 19251.947298 19234.265519
LO-REDUCTION 299 19249.744031 19234.265519
LO-REDUCTION 301 19248.633577 19234.265519
LO-REDUCTION 303 19248.369200 19234.265519
LO-REDUCTION 305 19247.608138 19234.265519
LO-REDUCTION 307 19246.703135 19234.265519
REFLECTION 309 19246.636642 19234.154053
REFLECTION 311 19244.773695 19233.304573
REFLECTION 313 19244.271094 19232.041142
REFLECTION 315 19244.248704 19231.007327
LO-REDUCTION 317 19244.191635 19231.007327
EXTENSION 319 19243.678390 19227.123970
LO-REDUCTION 321 19243.294628 19227.123970
LO-REDUCTION 323 19240.492190 19227.123970
LO-REDUCTION 325 19239.469591 19227.123970
LO-REDUCTION 327 19238.503257 19227.123970
LO-REDUCTION 329 19238.385362 19227.123970
EXTENSION 331 19237.507386 19226.575366
REFLECTION 333 19236.816488 19226.105020
LO-REDUCTION 335 19236.765487 19226.105020
EXTENSION 337 19234.964844 19217.601015
LO-REDUCTION 339 19234.916324 19217.601015
LO-REDUCTION 341 19234.265519 19217.601015
LO-REDUCTION 343 19234.154053 19217.601015
LO-REDUCTION 345 19233.304573 19217.601015
LO-REDUCTION 347 19232.041142 19217.601015
LO-REDUCTION 349 19232.025588 19217.601015
LO-REDUCTION 351 19231.046510 19217.601015
LO-REDUCTION 353 19231.007327 19217.601015
LO-REDUCTION 355 19230.746200 19217.601015
LO-REDUCTION 357 19229.260439 19217.601015
EXTENSION 359 19227.898084 19213.372750
LO-REDUCTION 361 19227.751840 19213.372750
LO-REDUCTION 363 19227.123970 19213.372750
LO-REDUCTION 365 19226.819551 19213.372750
LO-REDUCTION 367 19226.575366 19213.372750
LO-REDUCTION 369 19226.105020 19213.372750
LO-REDUCTION 371 19225.402851 19213.372750
EXTENSION 373 19224.432683 19210.692495
EXTENSION 375 19223.803879 19205.096392
LO-REDUCTION 377 19222.661010 19205.096392
LO-REDUCTION 379 19221.225422 19205.096392
LO-REDUCTION 381 19220.035048 19205.096392
LO-REDUCTION 383 19219.257610 19205.096392
LO-REDUCTION 385 19218.587703 19205.096392
LO-REDUCTION 387 19218.527301 19205.096392
LO-REDUCTION 389 19218.517626 19205.096392
LO-REDUCTION 391 19218.194474 19205.096392
LO-REDUCTION 393 19217.797760 19205.096392
LO-REDUCTION 395 19217.601015 19205.096392
LO-REDUCTION 397 19217.308967 19205.096392
EXTENSION 399 19216.833454 19198.075419
LO-REDUCTION 401 19216.707233 19198.075419
LO-REDUCTION 403 19213.876548 19198.075419
LO-REDUCTION 405 19213.372750 19198.075419
LO-REDUCTION 407 19211.015315 19198.075419
LO-REDUCTION 409 19210.916210 19198.075419
LO-REDUCTION 411 19210.692495 19198.075419
LO-REDUCTION 413 19210.329896 19198.075419
EXTENSION 415 19209.937612 19192.391856
LO-REDUCTION 417 19209.421487 19192.391856
LO-REDUCTION 419 19208.197238 19192.391856
LO-REDUCTION 421 19207.792135 19192.391856
LO-REDUCTION 423 19207.037911 19192.391856
EXTENSION 425 19206.400365 19185.453057
LO-REDUCTION 427 19205.377325 19185.453057
LO-REDUCTION 429 19205.096392 19185.453057
LO-REDUCTION 431 19203.781706 19185.453057
LO-REDUCTION 433 19201.310896 19185.453057
LO-REDUCTION 435 19200.493164 19185.453057
LO-REDUCTION 437 19200.442963 19185.453057
EXTENSION 439 19200.127572 19179.425284
LO-REDUCTION 441 19200.076508 19179.425284
LO-REDUCTION 443 19199.068400 19179.425284
LO-REDUCTION 445 19198.075419 19179.425284
LO-REDUCTION 447 19195.563443 19179.425284
LO-REDUCTION 449 19194.764952 19179.425284
LO-REDUCTION 451 19194.514424 19179.425284
EXTENSION 453 19194.192994 19173.146411
LO-REDUCTION 455 19193.900714 19173.146411
LO-REDUCTION 457 19192.391856 19173.146411
LO-REDUCTION 459 19190.505077 19173.146411
LO-REDUCTION 461 19189.351867 19173.146411
LO-REDUCTION 463 19189.114998 19173.146411
EXTENSION 465 19188.136634 19169.700137
LO-REDUCTION 467 19187.862919 19169.700137
LO-REDUCTION 469 19185.453057 19169.700137
LO-REDUCTION 471 19185.377036 19169.700137
REFLECTION 473 19184.290652 19169.542094
REFLECTION 475 19182.140118 19169.524005
REFLECTION 477 19180.870670 19167.867412
REFLECTION 479 19180.095962 19167.238681
LO-REDUCTION 481 19179.872300 19167.238681
LO-REDUCTION 483 19179.425284 19167.238681
REFLECTION 485 19178.244994 19166.287975
LO-REDUCTION 487 19177.888050 19166.287975
EXTENSION 489 19175.780395 19162.857235
LO-REDUCTION 491 19173.433894 19162.857235
LO-REDUCTION 493 19173.265468 19162.857235
LO-REDUCTION 495 19173.146411 19162.857235
LO-REDUCTION 497 19173.046492 19162.857235
LO-REDUCTION 499 19171.921800 19162.857235
Exiting from Nelder Mead minimizer
501 function evaluations used
$NLLK_AIC_BIC
[1] 19162.86 38357.71 38459.65
$observed_information
[1] "None"
$`glogit_prior(except the 1st state)`
beta_0
glogit prior_parm_1 -0.9513986
glogit prior_parm_2 -2.0954000
$`glogit_tpm_parm(except the 1st column)`
beta_0
glogit tpm_parm_1 -0.5053496
glogit tpm_parm_2 -0.8335304
glogit tpm_parm_3 -0.3750478
glogit tpm_parm_4 -0.4927130
glogit tpm_parm_5 0.9515444
glogit tpm_parm_6 0.9754031
$`logit_zero_proportion(for nonzero ones)`
beta_0 beta_1
logit zero proportion_1 0.3861919 -0.9042275
$log_emit_parm
beta_0 beta_1
log emit_parm_1 2.500303 0.5102736
log emit_parm_2 3.931687 0.4383380
log emit_parm_3 4.644621 0.3604361
$working_parameters
[1] -0.9513986 -2.0954000 -0.5053496 -0.8335304 -0.3750478 -0.4927130
[7] 0.9515444 0.9754031 0.3861919 -0.9042275 2.5003029 0.5102736
[13] 3.9316866 0.4383380 4.6446205 0.3604361
Nelder-Mead direct search function minimizer
function value for initial parameters = 2442.381399
Scaled convergence tolerance is 3.63943e-05
Stepsize computed as 0.391202
BUILD 8 3468.688244 2442.381399
LO-REDUCTION 10 2695.060975 2442.381399
LO-REDUCTION 12 2682.590040 2442.381399
LO-REDUCTION 14 2494.021871 2442.381399
HI-REDUCTION 16 2493.684504 2442.381399
HI-REDUCTION 18 2458.402973 2442.381399
LO-REDUCTION 20 2456.150476 2442.381399
LO-REDUCTION 22 2454.322739 2442.381399
HI-REDUCTION 24 2447.298106 2442.381399
LO-REDUCTION 26 2446.509710 2442.185110
LO-REDUCTION 28 2445.222222 2442.185110
LO-REDUCTION 30 2444.982655 2442.185110
LO-REDUCTION 32 2443.706144 2442.031829
LO-REDUCTION 34 2442.910712 2441.936101
HI-REDUCTION 36 2442.532553 2441.665699
REFLECTION 38 2442.381399 2441.590464
HI-REDUCTION 40 2442.381222 2441.590464
HI-REDUCTION 42 2442.229026 2441.568562
LO-REDUCTION 44 2442.185110 2441.389626
HI-REDUCTION 46 2442.031829 2441.389626
HI-REDUCTION 48 2441.936101 2441.389626
LO-REDUCTION 50 2441.665699 2441.388738
LO-REDUCTION 52 2441.610609 2441.373381
LO-REDUCTION 54 2441.590464 2441.369278
HI-REDUCTION 56 2441.568562 2441.337407
LO-REDUCTION 58 2441.484496 2441.295303
LO-REDUCTION 60 2441.433232 2441.295303
HI-REDUCTION 62 2441.389626 2441.295303
HI-REDUCTION 64 2441.388738 2441.285602
REFLECTION 66 2441.373381 2441.262089
LO-REDUCTION 68 2441.369278 2441.262089
LO-REDUCTION 70 2441.337407 2441.248891
HI-REDUCTION 72 2441.308276 2441.248891
HI-REDUCTION 74 2441.303175 2441.248891
LO-REDUCTION 76 2441.295303 2441.248891
HI-REDUCTION 78 2441.285602 2441.248891
LO-REDUCTION 80 2441.284234 2441.246238
LO-REDUCTION 82 2441.266267 2441.239674
HI-REDUCTION 84 2441.264377 2441.239674
HI-REDUCTION 86 2441.262089 2441.239674
HI-REDUCTION 88 2441.259397 2441.239674
REFLECTION 90 2441.254895 2441.237827
LO-REDUCTION 92 2441.248891 2441.237827
HI-REDUCTION 94 2441.247556 2441.237827
LO-REDUCTION 96 2441.247013 2441.236754
REFLECTION 98 2441.246238 2441.234102
HI-REDUCTION 100 2441.245490 2441.234102
LO-REDUCTION 102 2441.241075 2441.234102
REFLECTION 104 2441.240071 2441.232602
LO-REDUCTION 106 2441.239674 2441.232390
HI-REDUCTION 108 2441.238136 2441.232390
REFLECTION 110 2441.237827 2441.231609
HI-REDUCTION 112 2441.236754 2441.231609
REFLECTION 114 2441.234740 2441.229874
LO-REDUCTION 116 2441.234587 2441.229874
HI-REDUCTION 118 2441.234102 2441.229874
LO-REDUCTION 120 2441.233577 2441.229874
EXTENSION 122 2441.232602 2441.228475
LO-REDUCTION 124 2441.232390 2441.228475
EXTENSION 126 2441.231705 2441.227781
LO-REDUCTION 128 2441.231609 2441.227781
REFLECTION 130 2441.230771 2441.227197
LO-REDUCTION 132 2441.230654 2441.227197
REFLECTION 134 2441.229874 2441.226066
REFLECTION 136 2441.229500 2441.225606
LO-REDUCTION 138 2441.228475 2441.225606
LO-REDUCTION 140 2441.228255 2441.225606
EXTENSION 142 2441.227781 2441.224350
LO-REDUCTION 144 2441.227589 2441.224350
EXTENSION 146 2441.227197 2441.221272
LO-REDUCTION 148 2441.226288 2441.221272
LO-REDUCTION 150 2441.226066 2441.221272
LO-REDUCTION 152 2441.225873 2441.221272
LO-REDUCTION 154 2441.225606 2441.221272
LO-REDUCTION 156 2441.225347 2441.221272
LO-REDUCTION 158 2441.224905 2441.221272
LO-REDUCTION 160 2441.224350 2441.221272
EXTENSION 162 2441.223978 2441.218817
LO-REDUCTION 164 2441.222908 2441.218817
LO-REDUCTION 166 2441.222794 2441.218817
LO-REDUCTION 168 2441.222676 2441.218817
EXTENSION 170 2441.222347 2441.216123
LO-REDUCTION 172 2441.221558 2441.216123
LO-REDUCTION 174 2441.221272 2441.216123
EXTENSION 176 2441.220197 2441.214714
EXTENSION 178 2441.220150 2441.211386
LO-REDUCTION 180 2441.219212 2441.211386
LO-REDUCTION 182 2441.218817 2441.211386
EXTENSION 184 2441.217120 2441.208579
LO-REDUCTION 186 2441.216729 2441.208579
EXTENSION 188 2441.216123 2441.204484
LO-REDUCTION 190 2441.214714 2441.204484
LO-REDUCTION 192 2441.213318 2441.204484
REFLECTION 194 2441.211915 2441.203904
EXTENSION 196 2441.211386 2441.201990
LO-REDUCTION 198 2441.208590 2441.201990
LO-REDUCTION 200 2441.208579 2441.201990
REFLECTION 202 2441.206345 2441.200881
LO-REDUCTION 204 2441.206315 2441.200881
HI-REDUCTION 206 2441.204484 2441.200881
LO-REDUCTION 208 2441.203904 2441.200881
LO-REDUCTION 210 2441.203838 2441.200881
EXTENSION 212 2441.203430 2441.200287
REFLECTION 214 2441.203255 2441.199886
LO-REDUCTION 216 2441.201990 2441.199886
LO-REDUCTION 218 2441.201935 2441.199886
REFLECTION 220 2441.201884 2441.199788
REFLECTION 222 2441.201878 2441.199715
LO-REDUCTION 224 2441.200881 2441.199715
LO-REDUCTION 226 2441.200779 2441.199715
LO-REDUCTION 228 2441.200689 2441.199715
REFLECTION 230 2441.200287 2441.199402
REFLECTION 232 2441.200083 2441.199382
REFLECTION 234 2441.199919 2441.199311
REFLECTION 236 2441.199886 2441.199157
LO-REDUCTION 238 2441.199788 2441.199157
LO-REDUCTION 240 2441.199758 2441.199157
EXTENSION 242 2441.199715 2441.198345
LO-REDUCTION 244 2441.199402 2441.198345
HI-REDUCTION 246 2441.199382 2441.198345
LO-REDUCTION 248 2441.199311 2441.198345
LO-REDUCTION 250 2441.199303 2441.198345
LO-REDUCTION 252 2441.199291 2441.198345
EXTENSION 254 2441.199157 2441.197465
LO-REDUCTION 256 2441.199045 2441.197465
EXTENSION 258 2441.198762 2441.196790
LO-REDUCTION 260 2441.198632 2441.196790
LO-REDUCTION 262 2441.198594 2441.196790
EXTENSION 264 2441.198350 2441.196076
LO-REDUCTION 266 2441.198345 2441.196076
EXTENSION 268 2441.197815 2441.194325
LO-REDUCTION 270 2441.197465 2441.194325
LO-REDUCTION 272 2441.197269 2441.194325
LO-REDUCTION 274 2441.197176 2441.194325
EXTENSION 276 2441.196790 2441.193795
EXTENSION 278 2441.196103 2441.193114
LO-REDUCTION 280 2441.196076 2441.193114
EXTENSION 282 2441.195597 2441.192045
EXTENSION 284 2441.195080 2441.190402
LO-REDUCTION 286 2441.194344 2441.190402
LO-REDUCTION 288 2441.194325 2441.190402
HI-REDUCTION 290 2441.193795 2441.190402
LO-REDUCTION 292 2441.193242 2441.190402
LO-REDUCTION 294 2441.193114 2441.190402
REFLECTION 296 2441.192468 2441.190079
LO-REDUCTION 298 2441.192156 2441.190079
EXTENSION 300 2441.192045 2441.188051
LO-REDUCTION 302 2441.191519 2441.188051
LO-REDUCTION 304 2441.191108 2441.188051
LO-REDUCTION 306 2441.190822 2441.188051
LO-REDUCTION 308 2441.190589 2441.188051
EXTENSION 310 2441.190402 2441.186489
LO-REDUCTION 312 2441.190079 2441.186489
EXTENSION 314 2441.189526 2441.185500
LO-REDUCTION 316 2441.189299 2441.185500
EXTENSION 318 2441.188253 2441.182548
LO-REDUCTION 320 2441.188122 2441.182548
LO-REDUCTION 322 2441.188051 2441.182548
LO-REDUCTION 324 2441.187755 2441.182548
EXTENSION 326 2441.186489 2441.181243
EXTENSION 328 2441.186123 2441.179722
LO-REDUCTION 330 2441.185500 2441.179722
LO-REDUCTION 332 2441.184975 2441.179722
EXTENSION 334 2441.184268 2441.176914
EXTENSION 336 2441.183667 2441.173417
LO-REDUCTION 338 2441.182548 2441.173417
LO-REDUCTION 340 2441.181420 2441.173417
LO-REDUCTION 342 2441.181243 2441.173417
EXTENSION 344 2441.179789 2441.171656
LO-REDUCTION 346 2441.179722 2441.171656
LO-REDUCTION 348 2441.177343 2441.171656
EXTENSION 350 2441.177168 2441.168981
LO-REDUCTION 352 2441.176914 2441.168981
EXTENSION 354 2441.174398 2441.164996
LO-REDUCTION 356 2441.174337 2441.164996
LO-REDUCTION 358 2441.173789 2441.164996
EXTENSION 360 2441.173417 2441.162138
LO-REDUCTION 362 2441.171656 2441.162138
EXTENSION 364 2441.169503 2441.158254
LO-REDUCTION 366 2441.168981 2441.158254
LO-REDUCTION 368 2441.166467 2441.158254
EXTENSION 370 2441.166212 2441.156634
LO-REDUCTION 372 2441.164996 2441.156634
LO-REDUCTION 374 2441.164986 2441.156634
EXTENSION 376 2441.162138 2441.153621
REFLECTION 378 2441.159366 2441.152553
EXTENSION 380 2441.159062 2441.147101
LO-REDUCTION 382 2441.158910 2441.147101
HI-REDUCTION 384 2441.158254 2441.147101
LO-REDUCTION 386 2441.157408 2441.147101
LO-REDUCTION 388 2441.156634 2441.147101
EXTENSION 390 2441.154251 2441.142953
LO-REDUCTION 392 2441.153621 2441.142953
LO-REDUCTION 394 2441.152553 2441.142953
EXTENSION 396 2441.152286 2441.140583
EXTENSION 398 2441.151648 2441.132320
LO-REDUCTION 400 2441.148758 2441.132320
LO-REDUCTION 402 2441.148655 2441.132320
EXTENSION 404 2441.147101 2441.120535
LO-REDUCTION 406 2441.144246 2441.120535
LO-REDUCTION 408 2441.142953 2441.120535
EXTENSION 410 2441.140583 2441.117191
EXTENSION 412 2441.136037 2441.107413
EXTENSION 414 2441.133470 2441.092147
LO-REDUCTION 416 2441.132320 2441.092147
LO-REDUCTION 418 2441.125689 2441.092147
EXTENSION 420 2441.125493 2441.075514
LO-REDUCTION 422 2441.120535 2441.075514
LO-REDUCTION 424 2441.117191 2441.075514
REFLECTION 426 2441.107413 2441.069098
REFLECTION 428 2441.096578 2441.065301
REFLECTION 430 2441.093085 2441.064596
EXTENSION 432 2441.092147 2441.041498
LO-REDUCTION 434 2441.081113 2441.041498
EXTENSION 436 2441.075724 2441.026612
LO-REDUCTION 438 2441.075514 2441.026612
LO-REDUCTION 440 2441.069098 2441.026612
LO-REDUCTION 442 2441.065301 2441.026612
LO-REDUCTION 444 2441.064596 2441.026612
EXTENSION 446 2441.058061 2441.007066
LO-REDUCTION 448 2441.044412 2441.007066
LO-REDUCTION 450 2441.041988 2441.007066
LO-REDUCTION 452 2441.041498 2441.007066
LO-REDUCTION 454 2441.038446 2441.007066
EXTENSION 456 2441.035944 2440.991109
EXTENSION 458 2441.026612 2440.986952
LO-REDUCTION 460 2441.019070 2440.986952
LO-REDUCTION 462 2441.014283 2440.986952
REFLECTION 464 2441.010504 2440.981742
REFLECTION 466 2441.010436 2440.977869
LO-REDUCTION 468 2441.007066 2440.977869
LO-REDUCTION 470 2440.997376 2440.977869
EXTENSION 472 2440.991109 2440.967068
HI-REDUCTION 474 2440.989593 2440.967068
LO-REDUCTION 476 2440.986952 2440.967068
LO-REDUCTION 478 2440.985816 2440.967068
EXTENSION 480 2440.984114 2440.956163
LO-REDUCTION 482 2440.981742 2440.956163
LO-REDUCTION 484 2440.981140 2440.956163
LO-REDUCTION 486 2440.977869 2440.956163
REFLECTION 488 2440.976198 2440.955680
EXTENSION 490 2440.970321 2440.938138
LO-REDUCTION 492 2440.967068 2440.938138
LO-REDUCTION 494 2440.959732 2440.938138
LO-REDUCTION 496 2440.958143 2440.938138
LO-REDUCTION 498 2440.957503 2440.938138
REFLECTION 500 2440.956163 2440.937108
Exiting from Nelder Mead minimizer
502 function evaluations used
List of 8
$ nllk : num 2441
$ aic : num 4894
$ bic : num 4923
$ obsinfo : NULL
$ prior : num [1:2] 0.849 0.151
$ zeroprop : num [1:2] 0.576 0.309
$ emit_parm: num [1:2] 9.91 50.18
$ tpm : num [1:2, 1:2] 0.9055 0.1678 0.0945 0.8322
Nelder-Mead direct search function minimizer
function value for initial parameters = 4518.571416
Scaled convergence tolerance is 6.7332e-05
Stepsize computed as 0.460517
BUILD 20 5627.799541 4518.571416
LO-REDUCTION 22 5568.948882 4518.571416
LO-REDUCTION 24 5522.780351 4518.571416
LO-REDUCTION 26 4984.529780 4518.571416
HI-REDUCTION 28 4799.453005 4518.571416
LO-REDUCTION 30 4768.907735 4518.571416
HI-REDUCTION 32 4702.073050 4518.571416
HI-REDUCTION 34 4637.980609 4518.571416
HI-REDUCTION 36 4588.640825 4518.571416
LO-REDUCTION 38 4582.898941 4518.571416
HI-REDUCTION 40 4567.689637 4518.571416
HI-REDUCTION 42 4547.206881 4518.571416
HI-REDUCTION 44 4532.058824 4518.571416
HI-REDUCTION 46 4531.110549 4518.571416
LO-REDUCTION 48 4530.517830 4518.571416
REFLECTION 50 4528.870073 4516.020138
HI-REDUCTION 52 4525.804024 4516.020138
LO-REDUCTION 54 4525.412992 4516.020138
LO-REDUCTION 56 4524.854523 4516.020138
LO-REDUCTION 58 4524.250022 4516.020138
LO-REDUCTION 60 4522.798751 4516.020138
LO-REDUCTION 62 4522.454015 4516.020138
LO-REDUCTION 64 4522.450685 4516.020138
LO-REDUCTION 66 4521.655991 4516.020138
LO-REDUCTION 68 4520.978651 4516.020138
LO-REDUCTION 70 4520.814040 4516.020138
LO-REDUCTION 72 4520.621619 4516.020138
LO-REDUCTION 74 4520.273877 4516.020138
HI-REDUCTION 76 4519.614834 4516.020138
LO-REDUCTION 78 4519.217087 4516.020138
HI-REDUCTION 80 4519.068228 4516.020138
HI-REDUCTION 82 4518.682043 4516.020138
REFLECTION 84 4518.682043 4515.048504
REFLECTION 86 4518.682043 4514.943253
REFLECTION 88 4518.676435 4514.887951
LO-REDUCTION 90 4518.571416 4514.887951
LO-REDUCTION 92 4517.796516 4514.887951
LO-REDUCTION 94 4517.733020 4514.887951
LO-REDUCTION 96 4517.474476 4514.887951
LO-REDUCTION 98 4517.298705 4514.887951
LO-REDUCTION 100 4517.198916 4514.887951
LO-REDUCTION 102 4517.187427 4514.887951
LO-REDUCTION 104 4517.118725 4514.887951
LO-REDUCTION 106 4516.978324 4514.887951
REFLECTION 108 4516.944212 4514.802444
LO-REDUCTION 110 4516.823726 4514.802444
LO-REDUCTION 112 4516.782754 4514.798429
LO-REDUCTION 114 4516.650959 4514.798429
LO-REDUCTION 116 4516.474642 4514.798429
HI-REDUCTION 118 4516.458923 4514.798429
REFLECTION 120 4516.020138 4514.579742
HI-REDUCTION 122 4515.795906 4514.579742
LO-REDUCTION 124 4515.625747 4514.579742
LO-REDUCTION 126 4515.525506 4514.579742
LO-REDUCTION 128 4515.435811 4514.579742
LO-REDUCTION 130 4515.379347 4514.537910
LO-REDUCTION 132 4515.238580 4514.537910
LO-REDUCTION 134 4515.106281 4514.537910
LO-REDUCTION 136 4515.076015 4514.537910
LO-REDUCTION 138 4515.073502 4514.537910
HI-REDUCTION 140 4515.048504 4514.537910
REFLECTION 142 4515.045478 4514.526643
HI-REDUCTION 144 4515.017589 4514.526643
REFLECTION 146 4515.008816 4514.470958
REFLECTION 148 4514.943253 4514.413330
REFLECTION 150 4514.917229 4514.393536
LO-REDUCTION 152 4514.887951 4514.393536
REFLECTION 154 4514.885573 4514.361629
LO-REDUCTION 156 4514.802444 4514.361629
HI-REDUCTION 158 4514.798429 4514.361629
LO-REDUCTION 160 4514.709211 4514.361629
REFLECTION 162 4514.697809 4514.338431
LO-REDUCTION 164 4514.671568 4514.328004
LO-REDUCTION 166 4514.668545 4514.328004
LO-REDUCTION 168 4514.646228 4514.304854
REFLECTION 170 4514.631703 4514.236212
REFLECTION 172 4514.612009 4514.226372
LO-REDUCTION 174 4514.594542 4514.226372
LO-REDUCTION 176 4514.586736 4514.226372
REFLECTION 178 4514.579742 4514.174179
HI-REDUCTION 180 4514.537910 4514.174179
LO-REDUCTION 182 4514.526643 4514.174179
LO-REDUCTION 184 4514.476089 4514.174179
LO-REDUCTION 186 4514.470958 4514.174179
LO-REDUCTION 188 4514.469141 4514.174179
LO-REDUCTION 190 4514.413330 4514.174179
HI-REDUCTION 192 4514.393536 4514.174179
LO-REDUCTION 194 4514.389347 4514.174179
REFLECTION 196 4514.363629 4514.173929
LO-REDUCTION 198 4514.361629 4514.173929
LO-REDUCTION 200 4514.338431 4514.173929
LO-REDUCTION 202 4514.330898 4514.173929
REFLECTION 204 4514.328004 4514.152611
REFLECTION 206 4514.323527 4514.134360
REFLECTION 208 4514.304854 4514.123371
REFLECTION 210 4514.261248 4514.108855
LO-REDUCTION 212 4514.256448 4514.108855
REFLECTION 214 4514.251114 4514.098814
LO-REDUCTION 216 4514.245080 4514.098814
LO-REDUCTION 218 4514.236212 4514.098814
LO-REDUCTION 220 4514.227538 4514.098814
LO-REDUCTION 222 4514.226372 4514.098814
LO-REDUCTION 224 4514.213204 4514.098814
LO-REDUCTION 226 4514.211127 4514.098814
LO-REDUCTION 228 4514.210078 4514.098814
LO-REDUCTION 230 4514.205830 4514.098814
REFLECTION 232 4514.200863 4514.098202
REFLECTION 234 4514.187237 4514.065535
LO-REDUCTION 236 4514.185350 4514.065535
REFLECTION 238 4514.174179 4514.055759
LO-REDUCTION 240 4514.173929 4514.055759
LO-REDUCTION 242 4514.152611 4514.055759
LO-REDUCTION 244 4514.139306 4514.055759
LO-REDUCTION 246 4514.137731 4514.055759
LO-REDUCTION 248 4514.134360 4514.055759
LO-REDUCTION 250 4514.129922 4514.055759
LO-REDUCTION 252 4514.123371 4514.055759
LO-REDUCTION 254 4514.123180 4514.055759
REFLECTION 256 4514.116301 4514.052547
LO-REDUCTION 258 4514.111529 4514.052547
REFLECTION 260 4514.108855 4514.048693
LO-REDUCTION 262 4514.107667 4514.048693
EXTENSION 264 4514.106859 4514.031935
LO-REDUCTION 266 4514.102988 4514.031935
LO-REDUCTION 268 4514.098814 4514.031935
LO-REDUCTION 270 4514.098202 4514.031935
LO-REDUCTION 272 4514.096299 4514.031935
LO-REDUCTION 274 4514.095778 4514.031935
LO-REDUCTION 276 4514.086867 4514.031935
LO-REDUCTION 278 4514.086537 4514.031935
REFLECTION 280 4514.079277 4514.031043
EXTENSION 282 4514.075116 4514.027185
LO-REDUCTION 284 4514.071408 4514.027185
REFLECTION 286 4514.069653 4514.025951
REFLECTION 288 4514.069503 4514.025230
REFLECTION 290 4514.068133 4514.024706
LO-REDUCTION 292 4514.065535 4514.024706
LO-REDUCTION 294 4514.059508 4514.024706
LO-REDUCTION 296 4514.058712 4514.024706
REFLECTION 298 4514.057532 4514.018866
LO-REDUCTION 300 4514.057442 4514.018866
LO-REDUCTION 302 4514.055759 4514.018866
LO-REDUCTION 304 4514.052547 4514.018866
EXTENSION 306 4514.050460 4514.002091
LO-REDUCTION 308 4514.048693 4514.002091
LO-REDUCTION 310 4514.043054 4514.002091
EXTENSION 312 4514.042807 4513.988035
LO-REDUCTION 314 4514.041377 4513.988035
LO-REDUCTION 316 4514.035098 4513.988035
LO-REDUCTION 318 4514.031935 4513.988035
LO-REDUCTION 320 4514.031043 4513.988035
LO-REDUCTION 322 4514.029330 4513.988035
LO-REDUCTION 324 4514.028251 4513.988035
LO-REDUCTION 326 4514.027185 4513.988035
LO-REDUCTION 328 4514.025951 4513.988035
LO-REDUCTION 330 4514.025877 4513.988035
LO-REDUCTION 332 4514.025230 4513.988035
LO-REDUCTION 334 4514.024706 4513.988035
LO-REDUCTION 336 4514.022235 4513.988035
LO-REDUCTION 338 4514.021282 4513.988035
LO-REDUCTION 340 4514.019991 4513.988035
REFLECTION 342 4514.018866 4513.982870
LO-REDUCTION 344 4514.011910 4513.982870
REFLECTION 346 4514.009891 4513.982555
LO-REDUCTION 348 4514.008506 4513.982555
LO-REDUCTION 350 4514.005765 4513.982555
LO-REDUCTION 352 4514.005361 4513.982555
LO-REDUCTION 354 4514.005186 4513.982555
LO-REDUCTION 356 4514.002627 4513.982555
REFLECTION 358 4514.002091 4513.981045
HI-REDUCTION 360 4513.999897 4513.981045
EXTENSION 362 4513.998234 4513.974009
LO-REDUCTION 364 4513.998144 4513.974009
LO-REDUCTION 366 4513.998076 4513.974009
LO-REDUCTION 368 4513.996251 4513.974009
LO-REDUCTION 370 4513.994011 4513.974009
LO-REDUCTION 372 4513.990961 4513.974009
LO-REDUCTION 374 4513.990232 4513.974009
LO-REDUCTION 376 4513.990155 4513.974009
LO-REDUCTION 378 4513.989927 4513.974009
LO-REDUCTION 380 4513.989090 4513.974009
EXTENSION 382 4513.988186 4513.971778
LO-REDUCTION 384 4513.988035 4513.971778
LO-REDUCTION 386 4513.987823 4513.971778
LO-REDUCTION 388 4513.986126 4513.971778
EXTENSION 390 4513.984094 4513.968278
LO-REDUCTION 392 4513.983357 4513.968278
LO-REDUCTION 394 4513.982870 4513.968278
HI-REDUCTION 396 4513.982555 4513.968278
LO-REDUCTION 398 4513.981459 4513.968278
LO-REDUCTION 400 4513.981045 4513.968278
LO-REDUCTION 402 4513.980972 4513.968278
EXTENSION 404 4513.980453 4513.958435
LO-REDUCTION 406 4513.979539 4513.958435
LO-REDUCTION 408 4513.979344 4513.958435
LO-REDUCTION 410 4513.978939 4513.958435
LO-REDUCTION 412 4513.977098 4513.958435
LO-REDUCTION 414 4513.976728 4513.958435
LO-REDUCTION 416 4513.976606 4513.958435
LO-REDUCTION 418 4513.975985 4513.958435
LO-REDUCTION 420 4513.975811 4513.958435
LO-REDUCTION 422 4513.974181 4513.958435
LO-REDUCTION 424 4513.974009 4513.958435
LO-REDUCTION 426 4513.972605 4513.958435
EXTENSION 428 4513.972427 4513.956721
LO-REDUCTION 430 4513.971778 4513.956721
LO-REDUCTION 432 4513.970094 4513.956721
LO-REDUCTION 434 4513.969975 4513.956721
EXTENSION 436 4513.969902 4513.953369
LO-REDUCTION 438 4513.968858 4513.953369
LO-REDUCTION 440 4513.968278 4513.953369
LO-REDUCTION 442 4513.966151 4513.953369
EXTENSION 444 4513.965998 4513.950061
EXTENSION 446 4513.964228 4513.943952
LO-REDUCTION 448 4513.963902 4513.943952
LO-REDUCTION 450 4513.963713 4513.943952
LO-REDUCTION 452 4513.962959 4513.943952
LO-REDUCTION 454 4513.962404 4513.943952
LO-REDUCTION 456 4513.962292 4513.943952
LO-REDUCTION 458 4513.961663 4513.943952
LO-REDUCTION 460 4513.961507 4513.943952
LO-REDUCTION 462 4513.961199 4513.943952
LO-REDUCTION 464 4513.960990 4513.943952
LO-REDUCTION 466 4513.959345 4513.943952
EXTENSION 468 4513.959269 4513.939613
LO-REDUCTION 470 4513.958435 4513.939613
LO-REDUCTION 472 4513.956749 4513.939613
LO-REDUCTION 474 4513.956721 4513.939613
LO-REDUCTION 476 4513.954547 4513.939613
EXTENSION 478 4513.954097 4513.935105
LO-REDUCTION 480 4513.953907 4513.935105
LO-REDUCTION 482 4513.953369 4513.935105
LO-REDUCTION 484 4513.951100 4513.935105
EXTENSION 486 4513.950772 4513.930328
LO-REDUCTION 488 4513.950061 4513.930328
LO-REDUCTION 490 4513.948978 4513.930328
LO-REDUCTION 492 4513.947833 4513.930328
LO-REDUCTION 494 4513.947615 4513.930328
LO-REDUCTION 496 4513.947590 4513.930328
LO-REDUCTION 498 4513.946825 4513.930328
LO-REDUCTION 500 4513.945163 4513.930328
Exiting from Nelder Mead minimizer
502 function evaluations used
List of 8
$ nllk : num 4514
$ aic : num 9068
$ bic : num 9166
$ obsinfo : NULL
$ prior : num [1:4] 0.387 0.154 0.214 0.245
$ zeroprop : num [1:4] 0 0 0 0
$ emit_parm: num [1:4] 10.2 40 69.5 99.7
$ tpm : num [1:4, 1:4] 0.295 0.37 0.193 0.116 0.319 ...
ziphsmm documentation built on May 2, 2019, 6:10 a.m.
R Package Documentation
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Description Usage Arguments Value References Examples
Description
Estimate the parameters of a general zero-inflated Poisson hidden Markov model by directly minimizing of the negative log-likelihood function using the gradient descent algorithm.
Usage
1 2 3 |
Arguments
y |
observed time series values |
ntimes |
a vector specifying the lengths of individual, i.e. independent, time series. If not specified, the responses are assumed to form a single time series, i.e. ntimes=length(y) |
M |
number of latent states |
prior_init |
a vector of initial values for prior probability for each state |
tpm_init |
a matrix of initial values for transition probability matrix |
emit_init |
a vector of initial values for the means for each poisson distribution |
zero_init |
a vector of initial values for the structural zero proportions in each state |
prior_x |
matrix of covariates for generalized logit of prior probabilites (excluding the 1st probability). Default to NULL. |
tpm_x |
matrix of covariates for transition probability matrix (excluding the 1st column). Default to NULL. |
emit_x |
matrix of covariates for the log poisson means. Default to NULL. |
zeroinfl_x |
matrix of covariates for the nonzero structural zero proportions. Default to NULL. |
method |
method to be used for direct numeric optimization. See details in the help page for optim() function. Default to Nelder-Mead. |
hessian |
Logical. Should a numerically differentiated Hessian matrix be returned? Note that the hessian is for the working parameters, which are the generalized logit of prior probabilities (except for state 1), the generalized logit of the transition probability matrix(except 1st column), the logit of non-zero zero proportions, and the log of each state-dependent poisson means |
... |
Further arguments passed on to the optimization methods |
Value
the maximum likelihood estimates of the zero-inflated hidden Markov model
References
Walter Zucchini, Iain L. MacDonald, Roland Langrock. Hidden Markov Models for Time Series: An Introduction Using R, Second Edition. Chapman & Hall/CRC
Examples
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 | prior_init <- c(0.5,0.2,0.3)
emit_init <- c(10,40,70)
zero_init <- c(0.5,0,0)
omega <- matrix(c(0.5,0.3,0.2,0.4,0.3,0.3,0.2,0.4,0.4),3,3,byrow=TRUE)
result <- hmmsim(n=1000,M=3,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=3,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=TRUE,control=list(maxit=500,trace=1))
str(fit)
#variances for the 12 working parameters, which are the logit of prior probabilities
#for state 2 and state 3, the generalized logit of the transition probability matrix
#(tpm[1,2],tpm[1,3],tpm[2,2],tpm[2,3],tpm[3,2],tpm[3,3]), the logit of structural zero
#proportions for state 1, and log of poisson means for state 1, 2, and 3
#logit of non-zero zero proportions, and the log of poisson means
variance <- diag(solve(fit$obsinfo))
#with covariates
data(CAT)
y <- CAT$activity
x <- data.matrix(CAT$night)
prior_init <- c(0.5,0.2,0.3)
emit_init <- c(10,50,100)
zero_init <- c(0.5,0,0)
omega <- matrix(c(0.5,0.3,0.2,0.4,0.3,0.3,0.2,0.4,0.4),3,3,byrow=TRUE)
fit2 <- hmmfit(y,rep(1440,3),3,prior_init,omega,
emit_init,zero_init, emit_x=x,zeroinfl_x=x,hessian=FALSE,
method="Nelder-Mead", control=list(maxit=500,trace=1))
fit2
## Not run:
#two zero-inflated poissons
prior_init <- c(0.5,0.5)
emit_init <- c(10,50)
zero_init <- c(0.6,0.3)
omega <- matrix(c(0.9,0.1,0.2,0.8),2,2,byrow=TRUE)
result <- hmmsim(n=1000,M=2,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=2,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=FALSE,control=list(maxit=500,trace=1))
str(fit)
#four regular poissons
prior_init <- c(0.4,0.2,0.2,0.2)
emit_init <- c(10,40,70,100)
zero_init <- c(0,0,0,0)
omega <- matrix(c(0.3,0.3,0.2,0.2,0.4,0.2,0.3,0.1,
0.2,0.2,0.3,0.3,0.1,0.2,0.3,0.4),4,4,byrow=TRUE)
result <- hmmsim(n=1000,M=4,prior=prior_init, tpm_parm=omega,
emit_parm=emit_init,zeroprop=zero_init)
y <- result$series
fit <- hmmfit(y=y,M=4,prior_init=prior_init,tpm_init=omega,
emit_init=emit_init,zero_init=zero_init,
method="Nelder-Mead",hessian=FALSE,control=list(maxit=500,trace=1))
str(fit)
## End(Not run)
|
Example output
Nelder-Mead direct search function minimizer
function value for initial parameters = 3885.533768
Scaled convergence tolerance is 5.7899e-05
Stepsize computed as 0.424850
BUILD 13 5368.825532 3885.256310
LO-REDUCTION 15 5033.745195 3885.256310
LO-REDUCTION 17 4261.541183 3885.256310
HI-REDUCTION 19 4098.481383 3885.256310
HI-REDUCTION 21 4087.116660 3885.256310
LO-REDUCTION 23 3971.540957 3885.256310
HI-REDUCTION 25 3947.590823 3885.256310
LO-REDUCTION 27 3915.288979 3885.256310
HI-REDUCTION 29 3902.140803 3885.256310
HI-REDUCTION 31 3895.741580 3885.256310
LO-REDUCTION 33 3895.563517 3883.434811
HI-REDUCTION 35 3895.052024 3883.434811
LO-REDUCTION 37 3894.559515 3882.670354
LO-REDUCTION 39 3892.421867 3882.670354
LO-REDUCTION 41 3891.451688 3882.670354
HI-REDUCTION 43 3889.334036 3882.670354
LO-REDUCTION 45 3887.700675 3882.670354
HI-REDUCTION 47 3887.086992 3882.670354
HI-REDUCTION 49 3886.950437 3882.670354
HI-REDUCTION 51 3886.199233 3882.670354
LO-REDUCTION 53 3885.634402 3882.670354
REFLECTION 55 3885.533768 3881.878218
LO-REDUCTION 57 3885.256310 3881.878218
LO-REDUCTION 59 3885.048636 3881.878218
LO-REDUCTION 61 3884.092288 3881.865432
LO-REDUCTION 63 3883.755032 3881.865432
HI-REDUCTION 65 3883.617734 3881.865432
LO-REDUCTION 67 3883.603600 3881.865432
LO-REDUCTION 69 3883.567713 3881.843523
HI-REDUCTION 71 3883.489858 3881.843523
LO-REDUCTION 73 3883.476468 3881.843523
LO-REDUCTION 75 3883.434811 3881.827887
LO-REDUCTION 77 3882.670354 3881.827887
HI-REDUCTION 79 3882.363504 3881.827887
LO-REDUCTION 81 3882.262243 3881.729216
LO-REDUCTION 83 3882.114567 3881.608713
REFLECTION 85 3882.059322 3881.453122
LO-REDUCTION 87 3882.003454 3881.453122
LO-REDUCTION 89 3881.924343 3881.453122
REFLECTION 91 3881.912752 3881.374685
LO-REDUCTION 93 3881.878218 3881.374685
LO-REDUCTION 95 3881.873888 3881.374685
LO-REDUCTION 97 3881.865432 3881.374685
HI-REDUCTION 99 3881.863342 3881.374685
LO-REDUCTION 101 3881.843523 3881.374685
LO-REDUCTION 103 3881.827887 3881.374685
LO-REDUCTION 105 3881.729216 3881.374685
LO-REDUCTION 107 3881.653589 3881.374685
LO-REDUCTION 109 3881.651092 3881.374685
LO-REDUCTION 111 3881.608713 3881.374685
LO-REDUCTION 113 3881.592092 3881.374685
LO-REDUCTION 115 3881.550284 3881.374685
LO-REDUCTION 117 3881.542684 3881.374685
LO-REDUCTION 119 3881.531438 3881.374685
EXTENSION 121 3881.500277 3881.214889
LO-REDUCTION 123 3881.495316 3881.214889
LO-REDUCTION 125 3881.460973 3881.214889
LO-REDUCTION 127 3881.453747 3881.214889
LO-REDUCTION 129 3881.453122 3881.214889
LO-REDUCTION 131 3881.427865 3881.214889
LO-REDUCTION 133 3881.417338 3881.214889
LO-REDUCTION 135 3881.416406 3881.214889
LO-REDUCTION 137 3881.403342 3881.214889
LO-REDUCTION 139 3881.378700 3881.214889
LO-REDUCTION 141 3881.378644 3881.214889
EXTENSION 143 3881.374685 3881.207126
LO-REDUCTION 145 3881.362274 3881.207126
LO-REDUCTION 147 3881.357018 3881.207126
LO-REDUCTION 149 3881.321606 3881.207126
REFLECTION 151 3881.315555 3881.173355
LO-REDUCTION 153 3881.307394 3881.173355
EXTENSION 155 3881.299228 3881.071515
LO-REDUCTION 157 3881.265836 3881.071515
LO-REDUCTION 159 3881.258391 3881.071515
LO-REDUCTION 161 3881.255135 3881.071515
LO-REDUCTION 163 3881.228626 3881.071515
LO-REDUCTION 165 3881.214889 3881.071515
LO-REDUCTION 167 3881.214785 3881.071515
LO-REDUCTION 169 3881.214524 3881.071515
LO-REDUCTION 171 3881.209649 3881.071515
LO-REDUCTION 173 3881.207126 3881.071515
LO-REDUCTION 175 3881.205240 3881.071515
EXTENSION 177 3881.173355 3881.012288
LO-REDUCTION 179 3881.169978 3881.012288
LO-REDUCTION 181 3881.161888 3881.012288
LO-REDUCTION 183 3881.149412 3881.012288
EXTENSION 185 3881.132285 3880.957666
LO-REDUCTION 187 3881.128574 3880.957666
LO-REDUCTION 189 3881.125751 3880.957666
LO-REDUCTION 191 3881.123575 3880.957666
EXTENSION 193 3881.109821 3880.927344
LO-REDUCTION 195 3881.096002 3880.927344
LO-REDUCTION 197 3881.092657 3880.927344
LO-REDUCTION 199 3881.083321 3880.927344
REFLECTION 201 3881.071515 3880.922697
LO-REDUCTION 203 3881.050245 3880.922697
EXTENSION 205 3881.021833 3880.868865
LO-REDUCTION 207 3881.012288 3880.868865
LO-REDUCTION 209 3881.010990 3880.868865
EXTENSION 211 3881.004248 3880.819718
LO-REDUCTION 213 3880.998464 3880.819718
LO-REDUCTION 215 3880.975970 3880.819718
LO-REDUCTION 217 3880.957666 3880.819718
LO-REDUCTION 219 3880.955610 3880.819718
LO-REDUCTION 221 3880.938850 3880.819718
LO-REDUCTION 223 3880.928480 3880.819718
LO-REDUCTION 225 3880.927344 3880.819718
LO-REDUCTION 227 3880.925434 3880.819718
EXTENSION 229 3880.922697 3880.785007
LO-REDUCTION 231 3880.916110 3880.785007
LO-REDUCTION 233 3880.872043 3880.785007
EXTENSION 235 3880.868865 3880.754664
LO-REDUCTION 237 3880.861594 3880.754664
LO-REDUCTION 239 3880.859289 3880.754664
EXTENSION 241 3880.851400 3880.717304
LO-REDUCTION 243 3880.848885 3880.717304
LO-REDUCTION 245 3880.846629 3880.717304
LO-REDUCTION 247 3880.841119 3880.717304
LO-REDUCTION 249 3880.840785 3880.717304
LO-REDUCTION 251 3880.819718 3880.717304
LO-REDUCTION 253 3880.796508 3880.717304
LO-REDUCTION 255 3880.793373 3880.717304
EXTENSION 257 3880.791924 3880.704150
LO-REDUCTION 259 3880.785007 3880.704150
LO-REDUCTION 261 3880.776758 3880.704150
REFLECTION 263 3880.774552 3880.699345
REFLECTION 265 3880.762162 3880.695832
EXTENSION 267 3880.760529 3880.668188
EXTENSION 269 3880.754664 3880.651640
LO-REDUCTION 271 3880.741943 3880.651640
LO-REDUCTION 273 3880.734024 3880.651640
LO-REDUCTION 275 3880.722179 3880.651640
LO-REDUCTION 277 3880.720580 3880.651640
LO-REDUCTION 279 3880.719537 3880.651640
LO-REDUCTION 281 3880.717304 3880.651640
LO-REDUCTION 283 3880.715406 3880.651640
REFLECTION 285 3880.704150 3880.649028
LO-REDUCTION 287 3880.699345 3880.649028
REFLECTION 289 3880.695832 3880.647519
REFLECTION 291 3880.676843 3880.635297
EXTENSION 293 3880.671449 3880.609987
LO-REDUCTION 295 3880.671315 3880.609987
LO-REDUCTION 297 3880.668531 3880.609987
LO-REDUCTION 299 3880.668188 3880.609987
LO-REDUCTION 301 3880.663895 3880.609987
EXTENSION 303 3880.660438 3880.592701
LO-REDUCTION 305 3880.660321 3880.592701
LO-REDUCTION 307 3880.651640 3880.592701
LO-REDUCTION 309 3880.650595 3880.592701
EXTENSION 311 3880.649028 3880.576295
LO-REDUCTION 313 3880.647519 3880.576295
EXTENSION 315 3880.635297 3880.554944
LO-REDUCTION 317 3880.630423 3880.554944
LO-REDUCTION 319 3880.628017 3880.554944
LO-REDUCTION 321 3880.627854 3880.554944
LO-REDUCTION 323 3880.627849 3880.554944
EXTENSION 325 3880.616807 3880.512352
LO-REDUCTION 327 3880.613469 3880.512352
LO-REDUCTION 329 3880.613198 3880.512352
LO-REDUCTION 331 3880.609987 3880.512352
LO-REDUCTION 333 3880.603064 3880.512352
EXTENSION 335 3880.592701 3880.458131
LO-REDUCTION 337 3880.578859 3880.458131
LO-REDUCTION 339 3880.578811 3880.458131
LO-REDUCTION 341 3880.576295 3880.458131
LO-REDUCTION 343 3880.562615 3880.458131
EXTENSION 345 3880.556142 3880.414610
LO-REDUCTION 347 3880.554944 3880.414610
LO-REDUCTION 349 3880.537345 3880.414610
LO-REDUCTION 351 3880.520546 3880.414610
LO-REDUCTION 353 3880.520411 3880.414610
EXTENSION 355 3880.515003 3880.398039
EXTENSION 357 3880.512352 3880.351653
LO-REDUCTION 359 3880.496550 3880.351653
LO-REDUCTION 361 3880.485463 3880.351653
LO-REDUCTION 363 3880.482660 3880.351653
LO-REDUCTION 365 3880.465136 3880.351653
LO-REDUCTION 367 3880.458131 3880.351653
EXTENSION 369 3880.439176 3880.336385
REFLECTION 371 3880.421178 3880.330300
LO-REDUCTION 373 3880.420969 3880.330300
LO-REDUCTION 375 3880.419842 3880.330300
LO-REDUCTION 377 3880.414610 3880.330300
REFLECTION 379 3880.398039 3880.322615
LO-REDUCTION 381 3880.381688 3880.322615
LO-REDUCTION 383 3880.376738 3880.322615
LO-REDUCTION 385 3880.376441 3880.322047
LO-REDUCTION 387 3880.368930 3880.322047
REFLECTION 389 3880.360792 3880.308110
LO-REDUCTION 391 3880.351653 3880.308110
LO-REDUCTION 393 3880.337490 3880.308110
LO-REDUCTION 395 3880.336695 3880.308110
LO-REDUCTION 397 3880.336385 3880.308110
HI-REDUCTION 399 3880.335965 3880.308110
EXTENSION 401 3880.334708 3880.289322
LO-REDUCTION 403 3880.330821 3880.289322
LO-REDUCTION 405 3880.330300 3880.289322
LO-REDUCTION 407 3880.326700 3880.289322
LO-REDUCTION 409 3880.322615 3880.289322
LO-REDUCTION 411 3880.322047 3880.289322
LO-REDUCTION 413 3880.318648 3880.289322
LO-REDUCTION 415 3880.318353 3880.289322
LO-REDUCTION 417 3880.318113 3880.289322
EXTENSION 419 3880.314796 3880.274362
LO-REDUCTION 421 3880.310741 3880.274362
LO-REDUCTION 423 3880.309019 3880.274362
LO-REDUCTION 425 3880.308276 3880.274362
LO-REDUCTION 427 3880.308239 3880.274362
LO-REDUCTION 429 3880.308110 3880.274362
EXTENSION 431 3880.306687 3880.261021
LO-REDUCTION 433 3880.301465 3880.261021
LO-REDUCTION 435 3880.298436 3880.261021
LO-REDUCTION 437 3880.296740 3880.261021
EXTENSION 439 3880.295184 3880.250287
LO-REDUCTION 441 3880.293747 3880.250287
EXTENSION 443 3880.289322 3880.243579
EXTENSION 445 3880.285572 3880.224476
LO-REDUCTION 447 3880.279770 3880.224476
LO-REDUCTION 449 3880.278744 3880.224476
LO-REDUCTION 451 3880.275224 3880.224476
LO-REDUCTION 453 3880.274362 3880.224476
EXTENSION 455 3880.270653 3880.212211
LO-REDUCTION 457 3880.266675 3880.212211
LO-REDUCTION 459 3880.266283 3880.212211
LO-REDUCTION 461 3880.261021 3880.212211
EXTENSION 463 3880.253145 3880.199421
LO-REDUCTION 465 3880.250287 3880.199421
LO-REDUCTION 467 3880.243579 3880.199421
LO-REDUCTION 469 3880.239209 3880.199421
EXTENSION 471 3880.236324 3880.173338
LO-REDUCTION 473 3880.234996 3880.173338
LO-REDUCTION 475 3880.228555 3880.173338
LO-REDUCTION 477 3880.228240 3880.173338
LO-REDUCTION 479 3880.224476 3880.173338
LO-REDUCTION 481 3880.222964 3880.173338
LO-REDUCTION 483 3880.219266 3880.173338
LO-REDUCTION 485 3880.212211 3880.173338
LO-REDUCTION 487 3880.211797 3880.173338
EXTENSION 489 3880.211434 3880.162162
LO-REDUCTION 491 3880.206300 3880.162162
LO-REDUCTION 493 3880.199902 3880.162162
EXTENSION 495 3880.199421 3880.151266
LO-REDUCTION 497 3880.197063 3880.151266
EXTENSION 499 3880.189110 3880.145143
Exiting from Nelder Mead minimizer
501 function evaluations used
List of 8
$ nllk : num 3880
$ aic : num 7784
$ bic : num 7843
$ obsinfo : num [1:12, 1:12] 3.12e-05 -3.00e-05 -1.14e-07 0.00 1.14e-07 ...
$ prior : num [1:3] 3.50e-02 3.12e-05 9.65e-01
$ zeroprop : num [1:3] 0.49 0 0
$ emit_parm: num [1:3] 9.83 40.29 69.36
$ tpm : num [1:3, 1:3] 0.487 0.4 0.198 0.338 0.264 ...
Nelder-Mead direct search function minimizer
function value for initial parameters = 27832.078833
Scaled convergence tolerance is 0.00041473
Stepsize computed as 0.460517
BUILD 17 31386.401453 25899.337758
HI-REDUCTION 19 31101.473796 25899.337758
LO-REDUCTION 21 28037.186573 25899.337758
EXTENSION 23 27926.985666 24710.534662
LO-REDUCTION 25 27891.406825 24710.534662
LO-REDUCTION 27 27885.316420 24710.534662
EXTENSION 29 27875.828406 23659.336999
LO-REDUCTION 31 27839.377247 23659.336999
LO-REDUCTION 33 27832.410636 23659.336999
EXTENSION 35 27832.078833 22379.964293
LO-REDUCTION 37 27831.642847 22379.964293
LO-REDUCTION 39 27781.609209 22379.964293
LO-REDUCTION 41 27748.590013 22379.964293
REFLECTION 43 27289.400380 22132.348807
HI-REDUCTION 45 27132.937441 22132.348807
REFLECTION 47 26625.993695 20362.084940
LO-REDUCTION 49 26362.083135 20362.084940
LO-REDUCTION 51 26089.239098 20362.084940
LO-REDUCTION 53 25899.337758 20362.084940
LO-REDUCTION 55 25240.908948 20362.084940
LO-REDUCTION 57 24943.306176 20362.084940
LO-REDUCTION 59 24710.534662 20362.084940
LO-REDUCTION 61 24398.356911 20362.084940
LO-REDUCTION 63 24230.554407 20362.084940
LO-REDUCTION 65 23920.051356 20362.084940
LO-REDUCTION 67 23659.336999 20362.084940
LO-REDUCTION 69 23183.505802 20362.084940
HI-REDUCTION 71 23021.106623 20362.084940
LO-REDUCTION 73 22796.434158 20362.084940
LO-REDUCTION 75 22778.510238 20362.084940
LO-REDUCTION 77 22677.885030 20362.084940
REFLECTION 79 22392.704773 20237.636429
REFLECTION 81 22379.964293 20000.373731
REFLECTION 83 22357.529409 19989.811438
REFLECTION 85 22132.348807 19455.711033
LO-REDUCTION 87 21834.354089 19455.711033
LO-REDUCTION 89 21759.255552 19455.711033
HI-REDUCTION 91 20970.155323 19455.711033
LO-REDUCTION 93 20909.072023 19455.711033
LO-REDUCTION 95 20862.426016 19455.711033
LO-REDUCTION 97 20839.328063 19455.711033
LO-REDUCTION 99 20750.801443 19455.711033
LO-REDUCTION 101 20696.748650 19455.711033
LO-REDUCTION 103 20655.049514 19455.711033
LO-REDUCTION 105 20585.049741 19455.711033
LO-REDUCTION 107 20463.889469 19455.711033
LO-REDUCTION 109 20362.084940 19455.711033
HI-REDUCTION 111 20358.221758 19455.711033
HI-REDUCTION 113 20302.639375 19455.711033
REFLECTION 115 20237.636429 19424.463625
REFLECTION 117 20000.373731 19376.470590
REFLECTION 119 19989.811438 19361.905324
LO-REDUCTION 121 19933.444297 19361.905324
LO-REDUCTION 123 19750.041985 19359.044739
LO-REDUCTION 125 19718.863440 19359.044739
LO-REDUCTION 127 19707.910482 19359.044739
LO-REDUCTION 129 19663.842046 19359.044739
LO-REDUCTION 131 19648.100088 19359.044739
LO-REDUCTION 133 19600.803735 19359.044739
LO-REDUCTION 135 19587.830642 19359.044739
LO-REDUCTION 137 19550.626487 19345.746065
LO-REDUCTION 139 19540.647715 19345.746065
LO-REDUCTION 141 19456.235378 19345.746065
LO-REDUCTION 143 19456.223012 19345.746065
LO-REDUCTION 145 19455.711033 19345.746065
HI-REDUCTION 147 19447.175314 19345.746065
LO-REDUCTION 149 19424.463625 19345.746065
REFLECTION 151 19417.069664 19315.904086
LO-REDUCTION 153 19408.892625 19315.904086
HI-REDUCTION 155 19403.809380 19315.904086
LO-REDUCTION 157 19401.173838 19315.904086
LO-REDUCTION 159 19385.918569 19315.904086
LO-REDUCTION 161 19376.470590 19315.904086
LO-REDUCTION 163 19373.472090 19315.904086
HI-REDUCTION 165 19370.738176 19315.904086
LO-REDUCTION 167 19367.149333 19315.904086
EXTENSION 169 19363.985418 19287.250447
LO-REDUCTION 171 19363.392163 19287.250447
LO-REDUCTION 173 19361.905324 19287.250447
LO-REDUCTION 175 19359.044739 19287.250447
LO-REDUCTION 177 19355.991253 19287.250447
LO-REDUCTION 179 19351.076094 19287.250447
LO-REDUCTION 181 19345.985215 19287.250447
LO-REDUCTION 183 19345.746065 19287.250447
LO-REDUCTION 185 19343.717304 19287.250447
LO-REDUCTION 187 19342.172578 19287.250447
LO-REDUCTION 189 19337.645150 19287.250447
LO-REDUCTION 191 19334.084833 19287.250447
LO-REDUCTION 193 19329.496512 19287.250447
LO-REDUCTION 195 19327.885839 19287.250447
LO-REDUCTION 197 19327.115365 19287.250447
LO-REDUCTION 199 19325.171094 19287.250447
LO-REDUCTION 201 19324.410068 19287.250447
LO-REDUCTION 203 19320.556111 19287.250447
LO-REDUCTION 205 19319.411954 19287.250447
LO-REDUCTION 207 19317.439295 19287.250447
EXTENSION 209 19315.904086 19281.411036
LO-REDUCTION 211 19312.098881 19281.411036
EXTENSION 213 19311.003511 19269.939741
LO-REDUCTION 215 19310.895002 19269.939741
LO-REDUCTION 217 19306.049268 19269.939741
LO-REDUCTION 219 19304.689599 19269.939741
LO-REDUCTION 221 19304.132059 19269.939741
LO-REDUCTION 223 19300.576230 19269.939741
LO-REDUCTION 225 19299.039352 19269.939741
LO-REDUCTION 227 19298.507149 19269.939741
LO-REDUCTION 229 19297.704899 19269.939741
EXTENSION 231 19295.094412 19257.624545
LO-REDUCTION 233 19293.983805 19257.624545
LO-REDUCTION 235 19293.876819 19257.624545
LO-REDUCTION 237 19291.163984 19257.624545
LO-REDUCTION 239 19289.868328 19257.624545
LO-REDUCTION 241 19288.355403 19257.624545
LO-REDUCTION 243 19287.250447 19257.624545
LO-REDUCTION 245 19281.411036 19257.624545
LO-REDUCTION 247 19280.239138 19257.624545
LO-REDUCTION 249 19279.775744 19257.624545
REFLECTION 251 19278.443897 19256.645400
LO-REDUCTION 253 19276.944339 19256.645400
EXTENSION 255 19274.468673 19252.978964
LO-REDUCTION 257 19272.978120 19252.978964
LO-REDUCTION 259 19272.158486 19252.978964
LO-REDUCTION 261 19271.946573 19252.978964
EXTENSION 263 19271.928145 19243.678390
LO-REDUCTION 265 19270.102679 19243.678390
LO-REDUCTION 267 19269.939741 19243.678390
LO-REDUCTION 269 19267.821973 19243.678390
LO-REDUCTION 271 19263.739180 19243.678390
LO-REDUCTION 273 19263.583887 19243.678390
LO-REDUCTION 275 19262.696643 19243.678390
LO-REDUCTION 277 19262.593468 19243.678390
LO-REDUCTION 279 19260.888467 19243.678390
EXTENSION 281 19260.025740 19239.469591
LO-REDUCTION 283 19257.624545 19239.469591
LO-REDUCTION 285 19256.645400 19239.469591
LO-REDUCTION 287 19254.184394 19239.469591
EXTENSION 289 19254.026783 19237.507386
LO-REDUCTION 291 19253.372479 19237.507386
LO-REDUCTION 293 19252.978964 19237.507386
LO-REDUCTION 295 19252.073472 19237.507386
EXTENSION 297 19251.947298 19234.265519
LO-REDUCTION 299 19249.744031 19234.265519
LO-REDUCTION 301 19248.633577 19234.265519
LO-REDUCTION 303 19248.369200 19234.265519
LO-REDUCTION 305 19247.608138 19234.265519
LO-REDUCTION 307 19246.703135 19234.265519
REFLECTION 309 19246.636642 19234.154053
REFLECTION 311 19244.773695 19233.304573
REFLECTION 313 19244.271094 19232.041142
REFLECTION 315 19244.248704 19231.007327
LO-REDUCTION 317 19244.191635 19231.007327
EXTENSION 319 19243.678390 19227.123970
LO-REDUCTION 321 19243.294628 19227.123970
LO-REDUCTION 323 19240.492190 19227.123970
LO-REDUCTION 325 19239.469591 19227.123970
LO-REDUCTION 327 19238.503257 19227.123970
LO-REDUCTION 329 19238.385362 19227.123970
EXTENSION 331 19237.507386 19226.575366
REFLECTION 333 19236.816488 19226.105020
LO-REDUCTION 335 19236.765487 19226.105020
EXTENSION 337 19234.964844 19217.601015
LO-REDUCTION 339 19234.916324 19217.601015
LO-REDUCTION 341 19234.265519 19217.601015
LO-REDUCTION 343 19234.154053 19217.601015
LO-REDUCTION 345 19233.304573 19217.601015
LO-REDUCTION 347 19232.041142 19217.601015
LO-REDUCTION 349 19232.025588 19217.601015
LO-REDUCTION 351 19231.046510 19217.601015
LO-REDUCTION 353 19231.007327 19217.601015
LO-REDUCTION 355 19230.746200 19217.601015
LO-REDUCTION 357 19229.260439 19217.601015
EXTENSION 359 19227.898084 19213.372750
LO-REDUCTION 361 19227.751840 19213.372750
LO-REDUCTION 363 19227.123970 19213.372750
LO-REDUCTION 365 19226.819551 19213.372750
LO-REDUCTION 367 19226.575366 19213.372750
LO-REDUCTION 369 19226.105020 19213.372750
LO-REDUCTION 371 19225.402851 19213.372750
EXTENSION 373 19224.432683 19210.692495
EXTENSION 375 19223.803879 19205.096392
LO-REDUCTION 377 19222.661010 19205.096392
LO-REDUCTION 379 19221.225422 19205.096392
LO-REDUCTION 381 19220.035048 19205.096392
LO-REDUCTION 383 19219.257610 19205.096392
LO-REDUCTION 385 19218.587703 19205.096392
LO-REDUCTION 387 19218.527301 19205.096392
LO-REDUCTION 389 19218.517626 19205.096392
LO-REDUCTION 391 19218.194474 19205.096392
LO-REDUCTION 393 19217.797760 19205.096392
LO-REDUCTION 395 19217.601015 19205.096392
LO-REDUCTION 397 19217.308967 19205.096392
EXTENSION 399 19216.833454 19198.075419
LO-REDUCTION 401 19216.707233 19198.075419
LO-REDUCTION 403 19213.876548 19198.075419
LO-REDUCTION 405 19213.372750 19198.075419
LO-REDUCTION 407 19211.015315 19198.075419
LO-REDUCTION 409 19210.916210 19198.075419
LO-REDUCTION 411 19210.692495 19198.075419
LO-REDUCTION 413 19210.329896 19198.075419
EXTENSION 415 19209.937612 19192.391856
LO-REDUCTION 417 19209.421487 19192.391856
LO-REDUCTION 419 19208.197238 19192.391856
LO-REDUCTION 421 19207.792135 19192.391856
LO-REDUCTION 423 19207.037911 19192.391856
EXTENSION 425 19206.400365 19185.453057
LO-REDUCTION 427 19205.377325 19185.453057
LO-REDUCTION 429 19205.096392 19185.453057
LO-REDUCTION 431 19203.781706 19185.453057
LO-REDUCTION 433 19201.310896 19185.453057
LO-REDUCTION 435 19200.493164 19185.453057
LO-REDUCTION 437 19200.442963 19185.453057
EXTENSION 439 19200.127572 19179.425284
LO-REDUCTION 441 19200.076508 19179.425284
LO-REDUCTION 443 19199.068400 19179.425284
LO-REDUCTION 445 19198.075419 19179.425284
LO-REDUCTION 447 19195.563443 19179.425284
LO-REDUCTION 449 19194.764952 19179.425284
LO-REDUCTION 451 19194.514424 19179.425284
EXTENSION 453 19194.192994 19173.146411
LO-REDUCTION 455 19193.900714 19173.146411
LO-REDUCTION 457 19192.391856 19173.146411
LO-REDUCTION 459 19190.505077 19173.146411
LO-REDUCTION 461 19189.351867 19173.146411
LO-REDUCTION 463 19189.114998 19173.146411
EXTENSION 465 19188.136634 19169.700137
LO-REDUCTION 467 19187.862919 19169.700137
LO-REDUCTION 469 19185.453057 19169.700137
LO-REDUCTION 471 19185.377036 19169.700137
REFLECTION 473 19184.290652 19169.542094
REFLECTION 475 19182.140118 19169.524005
REFLECTION 477 19180.870670 19167.867412
REFLECTION 479 19180.095962 19167.238681
LO-REDUCTION 481 19179.872300 19167.238681
LO-REDUCTION 483 19179.425284 19167.238681
REFLECTION 485 19178.244994 19166.287975
LO-REDUCTION 487 19177.888050 19166.287975
EXTENSION 489 19175.780395 19162.857235
LO-REDUCTION 491 19173.433894 19162.857235
LO-REDUCTION 493 19173.265468 19162.857235
LO-REDUCTION 495 19173.146411 19162.857235
LO-REDUCTION 497 19173.046492 19162.857235
LO-REDUCTION 499 19171.921800 19162.857235
Exiting from Nelder Mead minimizer
501 function evaluations used
$NLLK_AIC_BIC
[1] 19162.86 38357.71 38459.65
$observed_information
[1] "None"
$`glogit_prior(except the 1st state)`
beta_0
glogit prior_parm_1 -0.9513986
glogit prior_parm_2 -2.0954000
$`glogit_tpm_parm(except the 1st column)`
beta_0
glogit tpm_parm_1 -0.5053496
glogit tpm_parm_2 -0.8335304
glogit tpm_parm_3 -0.3750478
glogit tpm_parm_4 -0.4927130
glogit tpm_parm_5 0.9515444
glogit tpm_parm_6 0.9754031
$`logit_zero_proportion(for nonzero ones)`
beta_0 beta_1
logit zero proportion_1 0.3861919 -0.9042275
$log_emit_parm
beta_0 beta_1
log emit_parm_1 2.500303 0.5102736
log emit_parm_2 3.931687 0.4383380
log emit_parm_3 4.644621 0.3604361
$working_parameters
[1] -0.9513986 -2.0954000 -0.5053496 -0.8335304 -0.3750478 -0.4927130
[7] 0.9515444 0.9754031 0.3861919 -0.9042275 2.5003029 0.5102736
[13] 3.9316866 0.4383380 4.6446205 0.3604361
Nelder-Mead direct search function minimizer
function value for initial parameters = 2442.381399
Scaled convergence tolerance is 3.63943e-05
Stepsize computed as 0.391202
BUILD 8 3468.688244 2442.381399
LO-REDUCTION 10 2695.060975 2442.381399
LO-REDUCTION 12 2682.590040 2442.381399
LO-REDUCTION 14 2494.021871 2442.381399
HI-REDUCTION 16 2493.684504 2442.381399
HI-REDUCTION 18 2458.402973 2442.381399
LO-REDUCTION 20 2456.150476 2442.381399
LO-REDUCTION 22 2454.322739 2442.381399
HI-REDUCTION 24 2447.298106 2442.381399
LO-REDUCTION 26 2446.509710 2442.185110
LO-REDUCTION 28 2445.222222 2442.185110
LO-REDUCTION 30 2444.982655 2442.185110
LO-REDUCTION 32 2443.706144 2442.031829
LO-REDUCTION 34 2442.910712 2441.936101
HI-REDUCTION 36 2442.532553 2441.665699
REFLECTION 38 2442.381399 2441.590464
HI-REDUCTION 40 2442.381222 2441.590464
HI-REDUCTION 42 2442.229026 2441.568562
LO-REDUCTION 44 2442.185110 2441.389626
HI-REDUCTION 46 2442.031829 2441.389626
HI-REDUCTION 48 2441.936101 2441.389626
LO-REDUCTION 50 2441.665699 2441.388738
LO-REDUCTION 52 2441.610609 2441.373381
LO-REDUCTION 54 2441.590464 2441.369278
HI-REDUCTION 56 2441.568562 2441.337407
LO-REDUCTION 58 2441.484496 2441.295303
LO-REDUCTION 60 2441.433232 2441.295303
HI-REDUCTION 62 2441.389626 2441.295303
HI-REDUCTION 64 2441.388738 2441.285602
REFLECTION 66 2441.373381 2441.262089
LO-REDUCTION 68 2441.369278 2441.262089
LO-REDUCTION 70 2441.337407 2441.248891
HI-REDUCTION 72 2441.308276 2441.248891
HI-REDUCTION 74 2441.303175 2441.248891
LO-REDUCTION 76 2441.295303 2441.248891
HI-REDUCTION 78 2441.285602 2441.248891
LO-REDUCTION 80 2441.284234 2441.246238
LO-REDUCTION 82 2441.266267 2441.239674
HI-REDUCTION 84 2441.264377 2441.239674
HI-REDUCTION 86 2441.262089 2441.239674
HI-REDUCTION 88 2441.259397 2441.239674
REFLECTION 90 2441.254895 2441.237827
LO-REDUCTION 92 2441.248891 2441.237827
HI-REDUCTION 94 2441.247556 2441.237827
LO-REDUCTION 96 2441.247013 2441.236754
REFLECTION 98 2441.246238 2441.234102
HI-REDUCTION 100 2441.245490 2441.234102
LO-REDUCTION 102 2441.241075 2441.234102
REFLECTION 104 2441.240071 2441.232602
LO-REDUCTION 106 2441.239674 2441.232390
HI-REDUCTION 108 2441.238136 2441.232390
REFLECTION 110 2441.237827 2441.231609
HI-REDUCTION 112 2441.236754 2441.231609
REFLECTION 114 2441.234740 2441.229874
LO-REDUCTION 116 2441.234587 2441.229874
HI-REDUCTION 118 2441.234102 2441.229874
LO-REDUCTION 120 2441.233577 2441.229874
EXTENSION 122 2441.232602 2441.228475
LO-REDUCTION 124 2441.232390 2441.228475
EXTENSION 126 2441.231705 2441.227781
LO-REDUCTION 128 2441.231609 2441.227781
REFLECTION 130 2441.230771 2441.227197
LO-REDUCTION 132 2441.230654 2441.227197
REFLECTION 134 2441.229874 2441.226066
REFLECTION 136 2441.229500 2441.225606
LO-REDUCTION 138 2441.228475 2441.225606
LO-REDUCTION 140 2441.228255 2441.225606
EXTENSION 142 2441.227781 2441.224350
LO-REDUCTION 144 2441.227589 2441.224350
EXTENSION 146 2441.227197 2441.221272
LO-REDUCTION 148 2441.226288 2441.221272
LO-REDUCTION 150 2441.226066 2441.221272
LO-REDUCTION 152 2441.225873 2441.221272
LO-REDUCTION 154 2441.225606 2441.221272
LO-REDUCTION 156 2441.225347 2441.221272
LO-REDUCTION 158 2441.224905 2441.221272
LO-REDUCTION 160 2441.224350 2441.221272
EXTENSION 162 2441.223978 2441.218817
LO-REDUCTION 164 2441.222908 2441.218817
LO-REDUCTION 166 2441.222794 2441.218817
LO-REDUCTION 168 2441.222676 2441.218817
EXTENSION 170 2441.222347 2441.216123
LO-REDUCTION 172 2441.221558 2441.216123
LO-REDUCTION 174 2441.221272 2441.216123
EXTENSION 176 2441.220197 2441.214714
EXTENSION 178 2441.220150 2441.211386
LO-REDUCTION 180 2441.219212 2441.211386
LO-REDUCTION 182 2441.218817 2441.211386
EXTENSION 184 2441.217120 2441.208579
LO-REDUCTION 186 2441.216729 2441.208579
EXTENSION 188 2441.216123 2441.204484
LO-REDUCTION 190 2441.214714 2441.204484
LO-REDUCTION 192 2441.213318 2441.204484
REFLECTION 194 2441.211915 2441.203904
EXTENSION 196 2441.211386 2441.201990
LO-REDUCTION 198 2441.208590 2441.201990
LO-REDUCTION 200 2441.208579 2441.201990
REFLECTION 202 2441.206345 2441.200881
LO-REDUCTION 204 2441.206315 2441.200881
HI-REDUCTION 206 2441.204484 2441.200881
LO-REDUCTION 208 2441.203904 2441.200881
LO-REDUCTION 210 2441.203838 2441.200881
EXTENSION 212 2441.203430 2441.200287
REFLECTION 214 2441.203255 2441.199886
LO-REDUCTION 216 2441.201990 2441.199886
LO-REDUCTION 218 2441.201935 2441.199886
REFLECTION 220 2441.201884 2441.199788
REFLECTION 222 2441.201878 2441.199715
LO-REDUCTION 224 2441.200881 2441.199715
LO-REDUCTION 226 2441.200779 2441.199715
LO-REDUCTION 228 2441.200689 2441.199715
REFLECTION 230 2441.200287 2441.199402
REFLECTION 232 2441.200083 2441.199382
REFLECTION 234 2441.199919 2441.199311
REFLECTION 236 2441.199886 2441.199157
LO-REDUCTION 238 2441.199788 2441.199157
LO-REDUCTION 240 2441.199758 2441.199157
EXTENSION 242 2441.199715 2441.198345
LO-REDUCTION 244 2441.199402 2441.198345
HI-REDUCTION 246 2441.199382 2441.198345
LO-REDUCTION 248 2441.199311 2441.198345
LO-REDUCTION 250 2441.199303 2441.198345
LO-REDUCTION 252 2441.199291 2441.198345
EXTENSION 254 2441.199157 2441.197465
LO-REDUCTION 256 2441.199045 2441.197465
EXTENSION 258 2441.198762 2441.196790
LO-REDUCTION 260 2441.198632 2441.196790
LO-REDUCTION 262 2441.198594 2441.196790
EXTENSION 264 2441.198350 2441.196076
LO-REDUCTION 266 2441.198345 2441.196076
EXTENSION 268 2441.197815 2441.194325
LO-REDUCTION 270 2441.197465 2441.194325
LO-REDUCTION 272 2441.197269 2441.194325
LO-REDUCTION 274 2441.197176 2441.194325
EXTENSION 276 2441.196790 2441.193795
EXTENSION 278 2441.196103 2441.193114
LO-REDUCTION 280 2441.196076 2441.193114
EXTENSION 282 2441.195597 2441.192045
EXTENSION 284 2441.195080 2441.190402
LO-REDUCTION 286 2441.194344 2441.190402
LO-REDUCTION 288 2441.194325 2441.190402
HI-REDUCTION 290 2441.193795 2441.190402
LO-REDUCTION 292 2441.193242 2441.190402
LO-REDUCTION 294 2441.193114 2441.190402
REFLECTION 296 2441.192468 2441.190079
LO-REDUCTION 298 2441.192156 2441.190079
EXTENSION 300 2441.192045 2441.188051
LO-REDUCTION 302 2441.191519 2441.188051
LO-REDUCTION 304 2441.191108 2441.188051
LO-REDUCTION 306 2441.190822 2441.188051
LO-REDUCTION 308 2441.190589 2441.188051
EXTENSION 310 2441.190402 2441.186489
LO-REDUCTION 312 2441.190079 2441.186489
EXTENSION 314 2441.189526 2441.185500
LO-REDUCTION 316 2441.189299 2441.185500
EXTENSION 318 2441.188253 2441.182548
LO-REDUCTION 320 2441.188122 2441.182548
LO-REDUCTION 322 2441.188051 2441.182548
LO-REDUCTION 324 2441.187755 2441.182548
EXTENSION 326 2441.186489 2441.181243
EXTENSION 328 2441.186123 2441.179722
LO-REDUCTION 330 2441.185500 2441.179722
LO-REDUCTION 332 2441.184975 2441.179722
EXTENSION 334 2441.184268 2441.176914
EXTENSION 336 2441.183667 2441.173417
LO-REDUCTION 338 2441.182548 2441.173417
LO-REDUCTION 340 2441.181420 2441.173417
LO-REDUCTION 342 2441.181243 2441.173417
EXTENSION 344 2441.179789 2441.171656
LO-REDUCTION 346 2441.179722 2441.171656
LO-REDUCTION 348 2441.177343 2441.171656
EXTENSION 350 2441.177168 2441.168981
LO-REDUCTION 352 2441.176914 2441.168981
EXTENSION 354 2441.174398 2441.164996
LO-REDUCTION 356 2441.174337 2441.164996
LO-REDUCTION 358 2441.173789 2441.164996
EXTENSION 360 2441.173417 2441.162138
LO-REDUCTION 362 2441.171656 2441.162138
EXTENSION 364 2441.169503 2441.158254
LO-REDUCTION 366 2441.168981 2441.158254
LO-REDUCTION 368 2441.166467 2441.158254
EXTENSION 370 2441.166212 2441.156634
LO-REDUCTION 372 2441.164996 2441.156634
LO-REDUCTION 374 2441.164986 2441.156634
EXTENSION 376 2441.162138 2441.153621
REFLECTION 378 2441.159366 2441.152553
EXTENSION 380 2441.159062 2441.147101
LO-REDUCTION 382 2441.158910 2441.147101
HI-REDUCTION 384 2441.158254 2441.147101
LO-REDUCTION 386 2441.157408 2441.147101
LO-REDUCTION 388 2441.156634 2441.147101
EXTENSION 390 2441.154251 2441.142953
LO-REDUCTION 392 2441.153621 2441.142953
LO-REDUCTION 394 2441.152553 2441.142953
EXTENSION 396 2441.152286 2441.140583
EXTENSION 398 2441.151648 2441.132320
LO-REDUCTION 400 2441.148758 2441.132320
LO-REDUCTION 402 2441.148655 2441.132320
EXTENSION 404 2441.147101 2441.120535
LO-REDUCTION 406 2441.144246 2441.120535
LO-REDUCTION 408 2441.142953 2441.120535
EXTENSION 410 2441.140583 2441.117191
EXTENSION 412 2441.136037 2441.107413
EXTENSION 414 2441.133470 2441.092147
LO-REDUCTION 416 2441.132320 2441.092147
LO-REDUCTION 418 2441.125689 2441.092147
EXTENSION 420 2441.125493 2441.075514
LO-REDUCTION 422 2441.120535 2441.075514
LO-REDUCTION 424 2441.117191 2441.075514
REFLECTION 426 2441.107413 2441.069098
REFLECTION 428 2441.096578 2441.065301
REFLECTION 430 2441.093085 2441.064596
EXTENSION 432 2441.092147 2441.041498
LO-REDUCTION 434 2441.081113 2441.041498
EXTENSION 436 2441.075724 2441.026612
LO-REDUCTION 438 2441.075514 2441.026612
LO-REDUCTION 440 2441.069098 2441.026612
LO-REDUCTION 442 2441.065301 2441.026612
LO-REDUCTION 444 2441.064596 2441.026612
EXTENSION 446 2441.058061 2441.007066
LO-REDUCTION 448 2441.044412 2441.007066
LO-REDUCTION 450 2441.041988 2441.007066
LO-REDUCTION 452 2441.041498 2441.007066
LO-REDUCTION 454 2441.038446 2441.007066
EXTENSION 456 2441.035944 2440.991109
EXTENSION 458 2441.026612 2440.986952
LO-REDUCTION 460 2441.019070 2440.986952
LO-REDUCTION 462 2441.014283 2440.986952
REFLECTION 464 2441.010504 2440.981742
REFLECTION 466 2441.010436 2440.977869
LO-REDUCTION 468 2441.007066 2440.977869
LO-REDUCTION 470 2440.997376 2440.977869
EXTENSION 472 2440.991109 2440.967068
HI-REDUCTION 474 2440.989593 2440.967068
LO-REDUCTION 476 2440.986952 2440.967068
LO-REDUCTION 478 2440.985816 2440.967068
EXTENSION 480 2440.984114 2440.956163
LO-REDUCTION 482 2440.981742 2440.956163
LO-REDUCTION 484 2440.981140 2440.956163
LO-REDUCTION 486 2440.977869 2440.956163
REFLECTION 488 2440.976198 2440.955680
EXTENSION 490 2440.970321 2440.938138
LO-REDUCTION 492 2440.967068 2440.938138
LO-REDUCTION 494 2440.959732 2440.938138
LO-REDUCTION 496 2440.958143 2440.938138
LO-REDUCTION 498 2440.957503 2440.938138
REFLECTION 500 2440.956163 2440.937108
Exiting from Nelder Mead minimizer
502 function evaluations used
List of 8
$ nllk : num 2441
$ aic : num 4894
$ bic : num 4923
$ obsinfo : NULL
$ prior : num [1:2] 0.849 0.151
$ zeroprop : num [1:2] 0.576 0.309
$ emit_parm: num [1:2] 9.91 50.18
$ tpm : num [1:2, 1:2] 0.9055 0.1678 0.0945 0.8322
Nelder-Mead direct search function minimizer
function value for initial parameters = 4518.571416
Scaled convergence tolerance is 6.7332e-05
Stepsize computed as 0.460517
BUILD 20 5627.799541 4518.571416
LO-REDUCTION 22 5568.948882 4518.571416
LO-REDUCTION 24 5522.780351 4518.571416
LO-REDUCTION 26 4984.529780 4518.571416
HI-REDUCTION 28 4799.453005 4518.571416
LO-REDUCTION 30 4768.907735 4518.571416
HI-REDUCTION 32 4702.073050 4518.571416
HI-REDUCTION 34 4637.980609 4518.571416
HI-REDUCTION 36 4588.640825 4518.571416
LO-REDUCTION 38 4582.898941 4518.571416
HI-REDUCTION 40 4567.689637 4518.571416
HI-REDUCTION 42 4547.206881 4518.571416
HI-REDUCTION 44 4532.058824 4518.571416
HI-REDUCTION 46 4531.110549 4518.571416
LO-REDUCTION 48 4530.517830 4518.571416
REFLECTION 50 4528.870073 4516.020138
HI-REDUCTION 52 4525.804024 4516.020138
LO-REDUCTION 54 4525.412992 4516.020138
LO-REDUCTION 56 4524.854523 4516.020138
LO-REDUCTION 58 4524.250022 4516.020138
LO-REDUCTION 60 4522.798751 4516.020138
LO-REDUCTION 62 4522.454015 4516.020138
LO-REDUCTION 64 4522.450685 4516.020138
LO-REDUCTION 66 4521.655991 4516.020138
LO-REDUCTION 68 4520.978651 4516.020138
LO-REDUCTION 70 4520.814040 4516.020138
LO-REDUCTION 72 4520.621619 4516.020138
LO-REDUCTION 74 4520.273877 4516.020138
HI-REDUCTION 76 4519.614834 4516.020138
LO-REDUCTION 78 4519.217087 4516.020138
HI-REDUCTION 80 4519.068228 4516.020138
HI-REDUCTION 82 4518.682043 4516.020138
REFLECTION 84 4518.682043 4515.048504
REFLECTION 86 4518.682043 4514.943253
REFLECTION 88 4518.676435 4514.887951
LO-REDUCTION 90 4518.571416 4514.887951
LO-REDUCTION 92 4517.796516 4514.887951
LO-REDUCTION 94 4517.733020 4514.887951
LO-REDUCTION 96 4517.474476 4514.887951
LO-REDUCTION 98 4517.298705 4514.887951
LO-REDUCTION 100 4517.198916 4514.887951
LO-REDUCTION 102 4517.187427 4514.887951
LO-REDUCTION 104 4517.118725 4514.887951
LO-REDUCTION 106 4516.978324 4514.887951
REFLECTION 108 4516.944212 4514.802444
LO-REDUCTION 110 4516.823726 4514.802444
LO-REDUCTION 112 4516.782754 4514.798429
LO-REDUCTION 114 4516.650959 4514.798429
LO-REDUCTION 116 4516.474642 4514.798429
HI-REDUCTION 118 4516.458923 4514.798429
REFLECTION 120 4516.020138 4514.579742
HI-REDUCTION 122 4515.795906 4514.579742
LO-REDUCTION 124 4515.625747 4514.579742
LO-REDUCTION 126 4515.525506 4514.579742
LO-REDUCTION 128 4515.435811 4514.579742
LO-REDUCTION 130 4515.379347 4514.537910
LO-REDUCTION 132 4515.238580 4514.537910
LO-REDUCTION 134 4515.106281 4514.537910
LO-REDUCTION 136 4515.076015 4514.537910
LO-REDUCTION 138 4515.073502 4514.537910
HI-REDUCTION 140 4515.048504 4514.537910
REFLECTION 142 4515.045478 4514.526643
HI-REDUCTION 144 4515.017589 4514.526643
REFLECTION 146 4515.008816 4514.470958
REFLECTION 148 4514.943253 4514.413330
REFLECTION 150 4514.917229 4514.393536
LO-REDUCTION 152 4514.887951 4514.393536
REFLECTION 154 4514.885573 4514.361629
LO-REDUCTION 156 4514.802444 4514.361629
HI-REDUCTION 158 4514.798429 4514.361629
LO-REDUCTION 160 4514.709211 4514.361629
REFLECTION 162 4514.697809 4514.338431
LO-REDUCTION 164 4514.671568 4514.328004
LO-REDUCTION 166 4514.668545 4514.328004
LO-REDUCTION 168 4514.646228 4514.304854
REFLECTION 170 4514.631703 4514.236212
REFLECTION 172 4514.612009 4514.226372
LO-REDUCTION 174 4514.594542 4514.226372
LO-REDUCTION 176 4514.586736 4514.226372
REFLECTION 178 4514.579742 4514.174179
HI-REDUCTION 180 4514.537910 4514.174179
LO-REDUCTION 182 4514.526643 4514.174179
LO-REDUCTION 184 4514.476089 4514.174179
LO-REDUCTION 186 4514.470958 4514.174179
LO-REDUCTION 188 4514.469141 4514.174179
LO-REDUCTION 190 4514.413330 4514.174179
HI-REDUCTION 192 4514.393536 4514.174179
LO-REDUCTION 194 4514.389347 4514.174179
REFLECTION 196 4514.363629 4514.173929
LO-REDUCTION 198 4514.361629 4514.173929
LO-REDUCTION 200 4514.338431 4514.173929
LO-REDUCTION 202 4514.330898 4514.173929
REFLECTION 204 4514.328004 4514.152611
REFLECTION 206 4514.323527 4514.134360
REFLECTION 208 4514.304854 4514.123371
REFLECTION 210 4514.261248 4514.108855
LO-REDUCTION 212 4514.256448 4514.108855
REFLECTION 214 4514.251114 4514.098814
LO-REDUCTION 216 4514.245080 4514.098814
LO-REDUCTION 218 4514.236212 4514.098814
LO-REDUCTION 220 4514.227538 4514.098814
LO-REDUCTION 222 4514.226372 4514.098814
LO-REDUCTION 224 4514.213204 4514.098814
LO-REDUCTION 226 4514.211127 4514.098814
LO-REDUCTION 228 4514.210078 4514.098814
LO-REDUCTION 230 4514.205830 4514.098814
REFLECTION 232 4514.200863 4514.098202
REFLECTION 234 4514.187237 4514.065535
LO-REDUCTION 236 4514.185350 4514.065535
REFLECTION 238 4514.174179 4514.055759
LO-REDUCTION 240 4514.173929 4514.055759
LO-REDUCTION 242 4514.152611 4514.055759
LO-REDUCTION 244 4514.139306 4514.055759
LO-REDUCTION 246 4514.137731 4514.055759
LO-REDUCTION 248 4514.134360 4514.055759
LO-REDUCTION 250 4514.129922 4514.055759
LO-REDUCTION 252 4514.123371 4514.055759
LO-REDUCTION 254 4514.123180 4514.055759
REFLECTION 256 4514.116301 4514.052547
LO-REDUCTION 258 4514.111529 4514.052547
REFLECTION 260 4514.108855 4514.048693
LO-REDUCTION 262 4514.107667 4514.048693
EXTENSION 264 4514.106859 4514.031935
LO-REDUCTION 266 4514.102988 4514.031935
LO-REDUCTION 268 4514.098814 4514.031935
LO-REDUCTION 270 4514.098202 4514.031935
LO-REDUCTION 272 4514.096299 4514.031935
LO-REDUCTION 274 4514.095778 4514.031935
LO-REDUCTION 276 4514.086867 4514.031935
LO-REDUCTION 278 4514.086537 4514.031935
REFLECTION 280 4514.079277 4514.031043
EXTENSION 282 4514.075116 4514.027185
LO-REDUCTION 284 4514.071408 4514.027185
REFLECTION 286 4514.069653 4514.025951
REFLECTION 288 4514.069503 4514.025230
REFLECTION 290 4514.068133 4514.024706
LO-REDUCTION 292 4514.065535 4514.024706
LO-REDUCTION 294 4514.059508 4514.024706
LO-REDUCTION 296 4514.058712 4514.024706
REFLECTION 298 4514.057532 4514.018866
LO-REDUCTION 300 4514.057442 4514.018866
LO-REDUCTION 302 4514.055759 4514.018866
LO-REDUCTION 304 4514.052547 4514.018866
EXTENSION 306 4514.050460 4514.002091
LO-REDUCTION 308 4514.048693 4514.002091
LO-REDUCTION 310 4514.043054 4514.002091
EXTENSION 312 4514.042807 4513.988035
LO-REDUCTION 314 4514.041377 4513.988035
LO-REDUCTION 316 4514.035098 4513.988035
LO-REDUCTION 318 4514.031935 4513.988035
LO-REDUCTION 320 4514.031043 4513.988035
LO-REDUCTION 322 4514.029330 4513.988035
LO-REDUCTION 324 4514.028251 4513.988035
LO-REDUCTION 326 4514.027185 4513.988035
LO-REDUCTION 328 4514.025951 4513.988035
LO-REDUCTION 330 4514.025877 4513.988035
LO-REDUCTION 332 4514.025230 4513.988035
LO-REDUCTION 334 4514.024706 4513.988035
LO-REDUCTION 336 4514.022235 4513.988035
LO-REDUCTION 338 4514.021282 4513.988035
LO-REDUCTION 340 4514.019991 4513.988035
REFLECTION 342 4514.018866 4513.982870
LO-REDUCTION 344 4514.011910 4513.982870
REFLECTION 346 4514.009891 4513.982555
LO-REDUCTION 348 4514.008506 4513.982555
LO-REDUCTION 350 4514.005765 4513.982555
LO-REDUCTION 352 4514.005361 4513.982555
LO-REDUCTION 354 4514.005186 4513.982555
LO-REDUCTION 356 4514.002627 4513.982555
REFLECTION 358 4514.002091 4513.981045
HI-REDUCTION 360 4513.999897 4513.981045
EXTENSION 362 4513.998234 4513.974009
LO-REDUCTION 364 4513.998144 4513.974009
LO-REDUCTION 366 4513.998076 4513.974009
LO-REDUCTION 368 4513.996251 4513.974009
LO-REDUCTION 370 4513.994011 4513.974009
LO-REDUCTION 372 4513.990961 4513.974009
LO-REDUCTION 374 4513.990232 4513.974009
LO-REDUCTION 376 4513.990155 4513.974009
LO-REDUCTION 378 4513.989927 4513.974009
LO-REDUCTION 380 4513.989090 4513.974009
EXTENSION 382 4513.988186 4513.971778
LO-REDUCTION 384 4513.988035 4513.971778
LO-REDUCTION 386 4513.987823 4513.971778
LO-REDUCTION 388 4513.986126 4513.971778
EXTENSION 390 4513.984094 4513.968278
LO-REDUCTION 392 4513.983357 4513.968278
LO-REDUCTION 394 4513.982870 4513.968278
HI-REDUCTION 396 4513.982555 4513.968278
LO-REDUCTION 398 4513.981459 4513.968278
LO-REDUCTION 400 4513.981045 4513.968278
LO-REDUCTION 402 4513.980972 4513.968278
EXTENSION 404 4513.980453 4513.958435
LO-REDUCTION 406 4513.979539 4513.958435
LO-REDUCTION 408 4513.979344 4513.958435
LO-REDUCTION 410 4513.978939 4513.958435
LO-REDUCTION 412 4513.977098 4513.958435
LO-REDUCTION 414 4513.976728 4513.958435
LO-REDUCTION 416 4513.976606 4513.958435
LO-REDUCTION 418 4513.975985 4513.958435
LO-REDUCTION 420 4513.975811 4513.958435
LO-REDUCTION 422 4513.974181 4513.958435
LO-REDUCTION 424 4513.974009 4513.958435
LO-REDUCTION 426 4513.972605 4513.958435
EXTENSION 428 4513.972427 4513.956721
LO-REDUCTION 430 4513.971778 4513.956721
LO-REDUCTION 432 4513.970094 4513.956721
LO-REDUCTION 434 4513.969975 4513.956721
EXTENSION 436 4513.969902 4513.953369
LO-REDUCTION 438 4513.968858 4513.953369
LO-REDUCTION 440 4513.968278 4513.953369
LO-REDUCTION 442 4513.966151 4513.953369
EXTENSION 444 4513.965998 4513.950061
EXTENSION 446 4513.964228 4513.943952
LO-REDUCTION 448 4513.963902 4513.943952
LO-REDUCTION 450 4513.963713 4513.943952
LO-REDUCTION 452 4513.962959 4513.943952
LO-REDUCTION 454 4513.962404 4513.943952
LO-REDUCTION 456 4513.962292 4513.943952
LO-REDUCTION 458 4513.961663 4513.943952
LO-REDUCTION 460 4513.961507 4513.943952
LO-REDUCTION 462 4513.961199 4513.943952
LO-REDUCTION 464 4513.960990 4513.943952
LO-REDUCTION 466 4513.959345 4513.943952
EXTENSION 468 4513.959269 4513.939613
LO-REDUCTION 470 4513.958435 4513.939613
LO-REDUCTION 472 4513.956749 4513.939613
LO-REDUCTION 474 4513.956721 4513.939613
LO-REDUCTION 476 4513.954547 4513.939613
EXTENSION 478 4513.954097 4513.935105
LO-REDUCTION 480 4513.953907 4513.935105
LO-REDUCTION 482 4513.953369 4513.935105
LO-REDUCTION 484 4513.951100 4513.935105
EXTENSION 486 4513.950772 4513.930328
LO-REDUCTION 488 4513.950061 4513.930328
LO-REDUCTION 490 4513.948978 4513.930328
LO-REDUCTION 492 4513.947833 4513.930328
LO-REDUCTION 494 4513.947615 4513.930328
LO-REDUCTION 496 4513.947590 4513.930328
LO-REDUCTION 498 4513.946825 4513.930328
LO-REDUCTION 500 4513.945163 4513.930328
Exiting from Nelder Mead minimizer
502 function evaluations used
List of 8
$ nllk : num 4514
$ aic : num 9068
$ bic : num 9166
$ obsinfo : NULL
$ prior : num [1:4] 0.387 0.154 0.214 0.245
$ zeroprop : num [1:4] 0 0 0 0
$ emit_parm: num [1:4] 10.2 40 69.5 99.7
$ tpm : num [1:4, 1:4] 0.295 0.37 0.193 0.116 0.319 ...
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