Negative Log Likelihood value of Lovinson Multiplicative Binomial distribution

This function will calculate the negative log likelihood value when the vector of binomial random variable and vector of corresponding frequencies are given with the input parameters.

Usage

NegLLLMBin(x,freq,p,phi)

Arguments

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

Value

The output of NegLLLMBin will produce a single numeric value.

Details

$$freq \ge 0$$ $$x = 0,1,2,..$$ $$0 < p < 1$$ $$0 < phi $$

References

Elamir, E.A., 2013. Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation. Journal of Statistical Theory and Applications, 12(1), pp.92-105.

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

NegLLLMBin(No.D.D,Obs.fre.1,.5,3)    #acquiring the negative log likelihood value
#> [1] 3669.494