RBAbeta: Reduced Bias Adjustment for Weibull MLE

In debias: Functions implementing MLE,its bias reduction for small samples and related issues

Description

RBAbeta generates the reduction factor based on the median bias of the weibull MLE (C4^3.5) alternatively a reduction factor based on the mean bias can be returned (C$^6)

Usage

 RBAbeta(Nx, basis="median")

Arguments

Nx	The quantity of actual failures
basis	a string value indicating the basis for bias reduction, "median" is the default, but "mean" may be chosen.

Details

Many references discuss the bias reduction in terms of mean reduction. The RBA addresses median bias reduction.

Value

A factor to be multiplied to the MLE Beta for bias reduction.

References

Dr. Robert B. Abernethy, (2008) "The New Weibull Handbook, Fifth Edition"

Examples

failures<-c(90,96,30,49,82)
suspensions<-c(100,45,10)
MLEfit<-MLEw2p_abrem(failures,suspensions)
MLE_RBA<-c(MLEfit[1],MLEfit[2]*RBAbeta(length(failures)),MLEfit[3])

debias documentation built on May 2, 2019, 4:49 p.m.