EstMLEGHGBB: Estimating the shape parameters a,b and c for Gaussian...

Description Usage Arguments Details Value References See Also Examples

View source: R/GHGbeta.R

Description

The function will estimate the shape parameters using the maximum log likelihood method for the Gaussian Hypergeometric Generalized Beta Binomial distribution when the binomial random variables and corresponding frequencies are given

Usage

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EstMLEGHGBB(x,freq,a,b,c)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

a

single value for shape parameter alpha representing a

b

single value for shape parameter beta representing b

c

single value for shape parameter lambda representing c

Details

0 < a,b,c

x = 0,1,2,...

freq ≥ 0

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

Value

EstMLEGHGBB here is used as a input parameter for the mle2 function of bbmle package

References

Rodriguez-Avi, J., Conde-Sanchez, A., Saez-Castillo, A. J., & Olmo-Jimenez, M. J. (2007). A generalization of the beta-binomial distribution. Journal of the Royal Statistical Society. Series C (Applied Statistics), 56(1), 51-61.

Available at : http://dx.doi.org/10.1111/j.1467-9876.2007.00564.x

Pearson, J., 2009. Computation of Hypergeometric Functions. Transformation, (September), p.1–123.

See Also

hypergeo_powerseries

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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(EstMLEGHGBB,start = list(a=0.1,b=0.1,c=0.2),
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.