EstMLECOMPBin: Estimating the probability of success and v parameter for COM...

Description Usage Arguments Details Value References Examples

View source: R/COMPBin.R

Description

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

Usage

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EstMLECOMPBin(x,freq,p,v)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

p

single value for probability of success

v

single value for v

Details

x = 0,1,2,...

freq ≥ 0

0 < p < 1

-∞ < v < +∞

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

Value

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

References

Borges, P., Rodrigues, J., Balakrishnan, N. and Bazan, J., 2014. A COM-Poisson type generalization of the binomial distribution and its properties and applications. Statistics & Probability Letters, 87, pp.158-166.

Available at: http://conteudo.icmc.usp.br/CMS/Arquivos/arquivos_enviados/BIBLIOTECA_113_NSE_90.pdf

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(EstMLECOMPBin,start = list(p=0.5,v=0.1),
                       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.