EstMLEAddBin: Estimating the probability of success and alpha for Additive...

Description Usage Arguments Details Value References Examples

View source: R/AddBin.R

Description

The function will estimate the probability of success and alpha using the maximum log likelihood method for the Additive Binomial distribution when the binomial random variables and corresponding frequencies are given

Usage

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EstMLEAddBin(x,freq)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

Details

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 EstMLEAddBin will produce a list consisting

p probability of success

alpha alpha

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: http://www.tandfonline.com/doi/abs/10.1080/03610928508828990 .

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

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

#estimating the probability value and alpha value
suppressWarnings(EstMLEAddBin(No.D.D,Obs.fre.1))

#extracting the estimated probability value
suppressWarnings(EstMLEAddBin(No.D.D,Obs.fre.1)$p)

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