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.

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