EstMLECOMPBin function

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,... x = 0,1,2,... freq0 freq \ge 0 0<p<1 0 < p < 1 <v<+ -\infty < v < +\infty

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 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

References

\insertRef borges2014poissonfitODBOD