fitODBOD (version 1.4.1-1)

NegLLBetaCorrBin: Negative Log Likelihood value of Beta-Correlated Binomial distribution

Description

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)

Value

The output of NegLLBetaCorrBin will produce a single numeric value.

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.

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