EstMLEMultiBin function

Estimating the probability of success and theta for Multiplicative Binomial Distribution

Estimating the probability of success and theta for Multiplicative Binomial Distribution

The function will estimate the probability of success and theta parameter using the maximum log likelihood method for the Multiplicative Binomial distribution when the binomial random variables and corresponding frequencies are given.

EstMLEMultiBin(x,freq,p,theta,...)

Arguments

  • x: vector of binomial random variables.
  • freq: vector of frequencies.
  • p: single value for probability of success.
  • theta: single value for theta parameter.
  • ...: mle2 function inputs except data and estimating parameter.

Returns

EstMLEMultiBin here is used as a wrapper for the mle2 function of bbmle package therefore output is of class of mle2.

Details

freq0 freq \ge 0 x=0,1,2,.. x = 0,1,2,.. 0<p<1 0 < p < 1 0<theta 0 < theta

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 <- EstMLEMultiBin(x=No.D.D,freq=Obs.fre.1,p=0.5,theta=15) bbmle::coef(parameters) #extracting the parameters

References

\insertRef johnson2005univariatefitODBOD

\insertRef kupper1978usefitODBOD

\insertRef paul1985threefitODBOD

See Also

mle2