NegLLCorrBin {fitODBOD} | R Documentation |
Negative Log Likelihood value of 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
NegLLCorrBin(x,freq,p,cov)
Arguments
x |
vector of binomial random variables. |
freq |
vector of frequencies. |
p |
single value for probability of success. |
cov |
single value for covariance. |
Details
freq \ge 0
x = 0,1,2,..
0 < p < 1
-\infty < cov < +\infty
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
Value
The output of NegLLCorrBin
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
NegLLCorrBin(No.D.D,Obs.fre.1,.5,.03) #acquiring the negative log likelihood value