NegLLAddBin function

Negative Log Likelihood value of Additive Binomial distribution

Negative Log Likelihood value of Additive Binomial distribution

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.

NegLLAddBin(x,freq,p,alpha)

Arguments

  • x: vector of binomial random variables.
  • freq: vector of frequencies.
  • p: single value for probability of success.
  • alpha: single value for alpha parameter.

Returns

The output of NegLLAddBin will produce a single numeric value.

Details

freq0 freq \ge 0 x=0,1,2,.. x = 0,1,2,.. 0<p<1 0 < p < 1 1<alpha<1 -1 < alpha < 1

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

References

\insertRef johnson2005univariatefitODBOD

\insertRef kupper1978usefitODBOD

\insertRef paul1985threefitODBOD

\insertRef morel2012overdispersionfitODBOD