NegLLBetaBin: Negative Log Likelihood value of Beta-Binomial Distribution

Description Usage Arguments Details Value References Examples

View source: R/Beta.R

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 shape parameters a and b.

Usage

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NegLLBetaBin(x,freq,a,b)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

a

single value for shape parameter alpha representing as a

b

single value for shape parameter beta representing as b

Details

0 < a,b

freq ≥ 0

x = 0,1,2,...

NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further

Value

The output of NegLLBetaBin will produce a single numeric value

References

Young-Xu, Y. & Chan, K.A., 2008. Pooling overdispersed binomial data to estimate event rate. BMC medical research methodology, 8(1), p.58.

Available at: http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=2538541&tool=pmcentrez&rendertype=abstract .

Trenkler, G., 1996. Continuous univariate distributions. Computational Statistics & Data Analysis, 21(1), p.119.

Available at: http://linkinghub.elsevier.com/retrieve/pii/0167947396900158 .

Hughes, G., 1993. Using the Beta-Binomial Distribution to Describe Aggregated Patterns of Disease Incidence. Phytopathology, 83(9), p.759.

Available at: http://www.apsnet.org/publications/phytopathology/backissues/Documents/1993Abstracts/Phyto_83_759.htm

Examples

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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
NegLLBetaBin(No.D.D,Obs.fre.1,.3,.4)   #acquiring the negative log likelihood value

Amalan-ConStat/R-fitODBOD documentation built on Oct. 1, 2018, 7:13 p.m.