Description Usage Arguments Value Author(s) References Examples
The cdf, pmf, quantile function, and random number generator function for Generalized Poisson Binomial distribution.
1 2 3 4 5 |
kk |
The values where the cdf or pmf to be evaluated. |
pp |
The vector for p_k's which are the sucess probabilities for indicators. |
aval |
The smaller possible values of each indicator, default to be 0. Integer values needed. |
bval |
The larger possible values of each indicator, default to be 1. Integer values needed. |
wts |
The weights for p_k's. Positive integer values needed. |
qq |
The values where the quantile function to be evaluated. |
m |
The number of random numbers to be generated. |
Returns the cdf, pmf, quantiles, and random numbers.
Yili Hong [aut, cre], Man Zhang [aut, ctb], R Core Team [aut, cph]
Man. Zhang, Y. Hong, and N. Balakrishnan (2018). “The generalized Poisson-binomial distribution and the computation of its distribution function,” Journal of Statistical Computation and Simulation, Vol. 88, pp. 1515-1527.
R Core Team (2019). “R: A Language and Environment for Statistical Computing,” R Foundation for Statistical Computing, Vienna, Austria, url: https://www.R-project.org/.
Singleton, R. C. (1969). An algorithm for computing the mixed radix fast Fourier transform. IEEE Transactions on Audio and Electroacoustics, Vol. 17, pp. 93-103.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 | pgpb(kk=0:11, pp=c(.1, .2, .3), aval=c(1,0,0), bval=c(2,3,1), wts=c(1,2,2))
dgpb(kk=0:11, pp=c(.1, .2, .3), aval=c(1,0,0), bval=c(2,3,1), wts=c(1,2,2))
qgpb(qq=c(.1,.3), pp=c(.1, .2, .3), aval=c(1,0,0), bval=c(2,3,1), wts=c(1,2,2))
rgpb(m=3, pp=c(.1, .2, .3), aval=c(1,0,0), bval=c(2,3,1), wts=c(1,2,2))
## when a, b share large common dividers, the results of following cases is the same
pgpb(kk=c(60,70,80,90), pp=c(.1, .2, .3), aval=c(10,20,30), bval=c(20,30,40), wts=c(1,1,1))
pgpb(kk=6:9, pp=c(.1, .2, .3), aval=c(1,2,3), bval=c(2,3,4), wts=c(1,1,1))
## when a, b are non-integer values, the values of kk, aval, bval can multiply powers of 10
aval=c(0.1,0.2,0.3)*10
bval=c(0.2,0.3,0.4)*10
kk=(0.6*10):(1.0*10)
pgpb(kk=kk, pp=c(.1, .2, .3), aval=aval, bval=bval, wts=c(1,1,1))
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