Negative Log Likelihood value of Beta-Correlated Binomial distribution

Source: R/BetaCorrBin.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 input parameters.

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, S.R., 1985. A three-parameter generalization of the binomial distribution. Communications in Statistics - Theory and Methods, 14(6), pp.1497-1506.

Available at: http://www.tandfonline.com/doi/abs/10.1080/03610928508828990 .

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