Estimating the probability of success and v parameter for COM Poisson Binomial Distribution
Estimating the probability of success and v parameter for COM Poisson Binomial Distribution
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.
EstMLECOMPBin(x,freq,p,v,...)
Arguments
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.
Returns
EstMLECOMPBin here is used as a wrapper for the mle2 function of bbmle package therefore output is of class of mle2.
Details
x=0,1,2,...freq≥00<p<1−∞<v<+∞
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
Examples
No.D.D <-0:7#assigning the random variablesObs.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 itparameters <- EstMLECOMPBin(x=No.D.D,freq=Obs.fre.1,p=0.5,v=0.1)bbmle::coef(parameters)#extracting the parameters