fitODBOD (version 1.5.3)

NegLLMcGBB: Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution

Description

This function will calculate the negative log likelihood value when the vector of binomial random variables and vector of corresponding frequencies are given with the shape parameters a,b and c.

Usage

NegLLMcGBB(x,freq,a,b,c)

Value

The output of NegLLMcGBB will produce a single numeric value.

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.

Details

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

References

manoj2013mcdonaldfitODBOD janiffer2014estimatingfitODBOD roozegar2017mcdonaldfitODBOD

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

NegLLMcGBB(No.D.D,Obs.fre.1,.2,.3,1)    #acquiring the negative log likelihood value