fitODBOD (version 1.5.3)

EstMLECorrBin: Estimating the probability of success and correlation for Correlated Binomial Distribution

Description

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

Usage

EstMLECorrBin(x,freq,p,cov,...)

Value

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

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

p

single value for probability of success.

cov

single value for covariance.

...

mle2 function inputs except data and estimating parameter.

Details

$$x = 0,1,2,...$$ $$freq \ge 0$$ $$0 < p < 1$$ $$-\infty < cov < +\infty$$

NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.

References

johnson2005univariatefitODBOD kupper1978usefitODBOD paul1985threefitODBOD morel2012overdispersionfitODBOD

See Also

mle2

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 <- EstMLECorrBin(x=No.D.D,freq=Obs.fre.1,p=0.5,cov=0.0050)

bbmle::coef(parameters)           #extracting the parameters