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,...freq≥0−∞<cov<+∞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 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 <- EstMLEBetaCorrBin(x=No.D.D,freq=Obs.fre.1,cov=0.0050,a=10,b=10)bbmle::coef(parameters)#extracting the parameters