fitODBOD (version 1.5.3)

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

Description

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.

Usage

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

Value

EstMLEMcGBB 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.

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.

Details

$$0 < a,b,c$$ $$x = 0,1,2,...$$ $$freq \ge 0$$

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

References

manoj2013mcdonaldfitODBOD janiffer2014estimatingfitODBOD roozegar2017mcdonaldfitODBOD

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

if (FALSE) {
#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
}