Negative Log Likelihood value of Beta-Correlated 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

NegLLBetaCorrBin(x,freq,cov,a,b)

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

cov

single value for covariance.

a

single value for alpha parameter.

b

single value for beta parameter.

Value

The output of NegLLBetaCorrBin will produce a single numeric value.

Details

$$freq \ge 0$$ $$x = 0,1,2,..$$ $$-\infty < cov < +\infty$$ $$0 < a,b$$

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

References

Paul SR (1985). “A three-parameter generalization of the binomial distribution.” History and Philosophy of Logic, 14(6), 1497--1506.

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

NegLLBetaCorrBin(No.D.D,Obs.fre.1,0.001,9.03,10)     #acquiring the negative log likelihood value
#> [1] 1078.399