Description Usage Arguments Details Value References See Also Examples
The function will estimate the shape parameters using the maximum log likelihood method for the Kumaraswamy Binomial distribution when the binomial random variables and corresponding frequencies are given
1 | EstMLEKumBin(x,freq,a,b,it,...)
|
x |
vector of binomial random variables. |
freq |
vector of frequencies. |
a |
single value for shape parameter alpha representing as a. |
b |
single value for shape parameter beta representing as b. |
it |
number of iterations to converge as a proper probability function replacing infinity. |
... |
mle2 function inputs except data and estimating parameter. |
0 < a,b
x = 0,1,2,...
freq ≥ 0
it > 0
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
EstMLEKumBin
here is used as a wrapper for the mle2
function of
bbmle package therefore output is of class of mle2.
Li, X. H., Huang, Y. Y., & Zhao, X. Y. (2011). The Kumaraswamy Binomial Distribution. Chinese Journal of Applied Probability and Statistics, 27(5), 511-521.
1 2 3 4 5 6 7 8 9 10 | No.D.D <- 0:7 #assigning the random variables
Obs.fre.1 <- c(47,54,43,40,40,41,39,95) #assigning the corresponding frequencies
## Not run:
#estimating the parameters using maximum log likelihood value and assigning it
parameters1 <- EstMLEKumBin(x=No.D.D,freq=Obs.fre.1,a=10.1,b=1.1,it=10000)
bbmle::coef(parameters1) #extracting the parameters
## End(Not run)
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