EstMLEBetaCorrBin function

Estimating the covariance, alpha and beta parameter values for Beta-Correlated Binomial Distribution

Estimating the covariance, alpha and beta parameter values for Beta-Correlated Binomial Distribution

The function will estimate the covariance, alpha and beta parameter values using the maximum log likelihood method for the Beta-Correlated Binomial distribution when the binomial random variables and corresponding frequencies are given.

EstMLEBetaCorrBin(x,freq,cov,a,b,...)

Arguments

  • x: vector of binomial random variables.
  • freq: vector of frequencies.
  • cov: single value for covariance.
  • a: single value for alpha parameter.
  • b: single value for beta parameter.
  • ...: mle2 function inputs except data and estimating parameter.

Returns

EstMLEBetaCorrBin 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 <cov<+ -\infty < cov < +\infty 0<a,b 0 < a,b

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 <- EstMLEBetaCorrBin(x=No.D.D,freq=Obs.fre.1,cov=0.0050,a=10,b=10) bbmle::coef(parameters) #extracting the parameters

References

\insertRef paul1985threefitODBOD

See Also

mle2