HRBU: Unbias factors for Weibull MLE

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

Description

HRBu generates the reduction factor based on the mean bias of the weibull MLE (roughly C4^6) for complete failure samples, increased correction as suspensions increase.

Usage

 HRBU(Nx, Ns=NULL)

Arguments

Nx	The quantity of actual failures
Ns	An optional quantity of suspensions

Details

This as many references discuss the bias reduction in terms of mean reduction. Abernethy's RBA addresses median bias reduction.

Value

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

References

ReliaSoft Corporation, Life Data Analysis Reference, Tucson, AZ: ReliaSoft Publishing, 2005

Examples

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

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