NegLLAddBin {fitODBOD} | R Documentation |
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 \ge 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