Negative Log Likelihood value of COM Poisson 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 input parameters.

Usage

NegLLCOMPBin(x,freq,p,v)

Arguments

x: vector of binomial random variables.
freq: vector of frequencies.
p: single value for probability of success.
v: single value for v.

Value

The output of NegLLCOMPBin will produce a single numeric value.

Details

$$freq \ge 0$$ $$x = 0,1,2,..$$ $$0 < p < 1$$ $$-\infty < v < +\infty$$

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

References

Borges P, Rodrigues J, Balakrishnan N, Bazan J (2014). “A COM--Poisson type generalization of the binomial distribution and its properties and applications.” Statistics and Probability Letters, 87, 158--166.

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

NegLLCOMPBin(No.D.D,Obs.fre.1,.5,.03)     #acquiring the negative log likelihood value
#> [1] 833.9674