EstMLEMultiBin: Estimating the probability of success and theta for...

Description Usage Arguments Details Value References See Also Examples

View source: R/MultiBin.R

Description

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

Usage

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EstMLEMultiBin(x,freq,p,theta)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

p

single value for probability of success

theta

single value for theta parameter

Details

freq ≥ 0

x = 0,1,2,..

0 < p < 1

0 < theta

Value

EstMLEMultiBin here is used as a input parameter for the mle2 function of bbmle package therefore output is of class of mle2.

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 .

See Also

mle2

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 parameters using maximum log likelihood value and assigning it
parameters=suppressWarnings(bbmle::mle2(EstMLEMultiBin,start = list(p=0.5,theta=15),
           data = list(x=No.D.D,freq=Obs.fre.1)))
bbmle::coef(parameters)           #extracting the parameters

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