Negative Log Likelihood value of Grassia II Binomial Distribution

Source: R/Gamma.R

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.

NegLLGrassiaIIBin(x,freq,a,b)

Arguments

x

vector of binomial random variables.
freq

vector of frequencies.
a

single value for shape parameter a.
b

single value for shape parameter b.

Value

The output of NegLLGrassiaIIBin will produce a single numeric value.

Details

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

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

References

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.

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

NegLLGrassiaIIBin(No.D.D,Obs.fre.1,.3,.4)   #acquiring the negative log likelihood value
#> [1] 1460.481