NegLLBetaBin function

Negative Log Likelihood value of 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 and b.

NegLLBetaBin(x,freq,a,b)

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.

Returns

The output of NegLLBetaBin will produce a single numeric value.

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

NegLLBetaBin(No.D.D,Obs.fre.1,.3,.4)   #acquiring the negative log likelihood value

References

\insertRef young2008poolingfitODBOD

\insertRef trenkler1996continuousfitODBOD

\insertRef hughes1993usingfitODBOD