fitODBOD (version 1.5.3)

NegLLAddBin: Negative Log Likelihood value of Additive Binomial distribution

Description

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.

Usage

NegLLAddBin(x,freq,p,alpha)

Value

The output of NegLLAddBin will produce a single numeric value.

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

p

single value for probability of success.

alpha

single value for alpha parameter.

Details

$$freq \ge 0$$ $$x = 0,1,2,..$$ $$0 < p < 1$$ $$-1 < alpha < 1$$

References

johnson2005univariatefitODBOD kupper1978usefitODBOD paul1985threefitODBOD morel2012overdispersionfitODBOD

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

NegLLAddBin(No.D.D,Obs.fre.1,.5,.03)         #acquiring the negative log likelihood value