EstMLEMcGBB function

Estimating the shape parameters a,b and c for McDonald Generalized Beta Binomial distribution

The function will estimate the shape parameters using the maximum log likelihood method for the McDonald Generalized Beta Binomial distribution when the binomial random variables and corresponding frequencies are given.

EstMLEMcGBB(x,freq,a,b,c,...)

Arguments

• x: vector of binomial random variables.
• freq: vector of frequencies.
• a: single value for shape parameter alpha representing as a.
• b: single value for shape parameter beta representing as b.
• c: single value for shape parameter gamma representing as c.
• ...: mle2 function inputs except data and estimating parameter.

Returns

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

Details

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

## Not run:

#estimating the parameters using maximum log likelihood value and assigning it
parameters <- EstMLEMcGBB(x=No.D.D,freq=Obs.fre.1,a=0.1,b=0.1,c=0.2)

bbmle::coef(parameters)         #extracting the parameters
## End(Not run)

References

\insertRef manoj2013mcdonaldfitODBOD

\insertRef janiffer2014estimatingfitODBOD

\insertRef roozegar2017mcdonaldfitODBOD

See Also

mle2