EstMLEKumBin: Estimating the shape parameters a and b and iterations for...

Description Usage Arguments Details Value References See Also Examples

View source: R/Kumaraswamy.R

Description

The function will estimate the shape parameters using the maximum log likelihood method for the Kumaraswamy binomial distribution when the binomial random variables and corresponding frequencies are given

Usage

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EstMLEKumBin(x,freq,a,b,it)

Arguments

x

vector of binomial random variables

freq

vector of frequencies

a

single value for shape parameter alpha representing as a

b

single value for shape parameter beta representing as b

it

number of iterations to converge as a proper probability function replacing infinity

Details

0 < a,b

x = 0,1,2,...

freq ≥ 0

it > 0

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

Value

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

References

Li, X. H., Huang, Y. Y., & Zhao, X. Y. (2011). The Kumaraswamy Binomial Distribution. Chinese Journal of Applied Probability and Statistics, 27(5), 511-521.

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

parameters1=suppressWarnings(bbmle::mle2(EstMLEKumBin,start = list(a=10.1,b=1.1,it=10000),
data = list(x=No.D.D,freq=Obs.fre.1)))
bbmle::coef(parameters1)   #extracting the parameters

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