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Negative Log Likelihood value of Additive Binomial distribution

Source: R/AddBin.R
NegLLAddBin.Rd

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.

Value

The output of NegLLAddBin will produce a single numeric value.

Details

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

References

Johnson NL, Kemp AW, Kotz S (2005). Univariate discrete distributions, volume 444. John Wiley and Sons. Kupper LL, Haseman JK (1978). “The use of a correlated binomial model for the analysis of certain toxicological experiments.” Biometrics, 69--76. Paul SR (1985). “A three-parameter generalization of the binomial distribution.” History and Philosophy of Logic, 14(6), 1497--1506. Morel JG, Neerchal NK (2012). Overdispersion models in SAS. SAS Publishing.

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
#> [1] 1128.278