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 l and c.
NegLLGammaBin(x,freq,c,l)
| x | vector of binomial random variables. |
|---|---|
| freq | vector of frequencies. |
| c | single value for shape parameter c. |
| l | single value for shape parameter l. |
The output of NegLLGammaBin will produce a single numeric value.
$$0 < l,c$$ $$freq \ge 0$$ $$x = 0,1,2,...$$
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
Grassia, A., 1977. On a family of distributions with argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions. Australian Journal of Statistics, 19(2), pp.108-114.
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 NegLLGammaBin(No.D.D,Obs.fre.1,.3,.4) #acquiring the negative log likelihood value#> [1] 825.7386