Description Usage Arguments Details Value References Examples
The function will estimate the probability of success and v parameter using the maximum log likelihood method for the COM Poisson Binomial distribution when the binomial random variables and corresponding frequencies are given.
1 | EstMLECOMPBin(x,freq,p,v,...)
|
x |
vector of binomial random variables. |
freq |
vector of frequencies. |
p |
single value for probability of success. |
v |
single value for v. |
... |
mle2 function inputs except data and estimating parameter. |
x = 0,1,2,...
freq ≥ 0
0 < p < 1
-∞ < v < +∞
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
EstMLECOMPBin
here is used as a wrapper for the mle2
function of bbmle package
therefore output is of class of mle2.
Borges, P., Rodrigues, J., Balakrishnan, N. and Bazan, J., 2014. A COM-Poisson type generalization of the binomial distribution and its properties and applications. Statistics & Probability Letters, 87, pp.158-166.
Available at: http://conteudo.icmc.usp.br/CMS/Arquivos/arquivos_enviados/BIBLIOTECA_113_NSE_90.pdf
1 2 3 4 5 6 7 | 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
#estimating the parameters using maximum log likelihood value and assigning it
parameters <- EstMLECOMPBin(x=No.D.D,freq=Obs.fre.1,p=0.5,v=0.1)
bbmle::coef(parameters) #extracting the parameters
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