NegLLMcGBB function

Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution

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.

NegLLMcGBB(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.

Returns

The output of NegLLMcGBB will produce a single numeric value.

Details

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

References

\insertRef manoj2013mcdonaldfitODBOD

\insertRef janiffer2014estimatingfitODBOD

\insertRef roozegar2017mcdonaldfitODBOD