# EstMLECOMPBin: Estimating the probability of success and v parameter for COM... In Amalan-ConStat/R-fitODBOD: Modeling Over Dispersed Binomial Outcome Data Using BMD and ABD

## 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

 `1` ```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.

## Examples

 ```1 2 3 4 5 6 7``` ```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.