NegLLAddBin: Negative Log Likelihood value of Additive Binomial...

In fitODBOD: Modeling Over Dispersed Binomial Outcome Data Using BMD and ABD

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)

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 ≥ 0

x = 0,1,2,..

0 < p < 1

-1 < alpha < 1

Value

The output of NegLLAddBin will produce a single numeric value.

References

Johnson, N. L., Kemp, A. W., & Kotz, S. (2005). Univariate discrete distributions (Vol. 444). Hoboken, NJ: Wiley-Interscience.

L. L. Kupper, J.K.H., 1978. The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments. Biometrics, 34(1), pp.69-76.

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: doi: 10.1080/03610928508828990

Jorge G. Morel and Nagaraj K. Neerchal. Overdispersion Models in SAS. SAS Institute, 2012.

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

fitODBOD documentation built on Jan. 15, 2023, 5:11 p.m.