Negative Log Likelihood value of Kumaraswamy Binomial Distribution

Source: R/Kumaraswamy.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 a and b and iterations it.

NegLLKumBin(x,freq,a,b,it=25000)

Arguments

x

vector of binomial random variables.
freq

vector of frequencies.
a

single value for shape parameter alpha representing as a.
b

single value for shape parameter beta representing as b.
it

number of iterations to converge as a proper probability function replacing infinity.

Value

The output of NegLLKumBin will produce a single numeric value.

Details

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

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

References

Li, X. H., Huang, Y. Y., & Zhao, X. Y. (2011). The Kumaraswamy Binomial Distribution. Chinese Journal of Applied Probability and Statistics, 27(5), 511-521.

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
# NOT RUN {
NegLLKumBin(No.D.D,Obs.fre.1,1.3,4.4) #acquiring the negative log likelihood value

# }