Estimating the probability of success and theta for Lovinson Multiplicative Binomial Distribution
Estimating the probability of success and theta for Lovinson Multiplicative Binomial Distribution
The function will estimate the probability of success and phi parameter using the maximum log likelihood method for the Lovinson Multiplicative Binomial distribution when the binomial random variables and corresponding frequencies are given.
EstMLELMBin(x,freq,p,phi,...)
Arguments
x: vector of binomial random variables.
freq: vector of frequencies.
p: single value for probability of success.
phi: single value for phi parameter.
...: mle2 function inputs except data and estimating parameter.
Returns
EstMLELMBin here is used as a wrapper for the mle2 function of bbmle package therefore output is of class of mle2.
Details
freq≥0x=0,1,2,..0<p<10<phi
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 <- EstMLELMBin(x=No.D.D,freq=Obs.fre.1,p=0.5,phi=15)bbmle::coef(parameters)#extracting the parameters