hrbu: Hirose and Ross beta unbias factors for Weibull MLE

In abremDebias: Maximum Likelihood Estimation Models with Bias Adjustment Options for Reliability Analysis

Description

hrbu generates the reduction factor based on the mean bias of the weibull MLE beta parameter(roughly C4^6) for complete failure samples, modestly increased correction as number of suspensions increases.

Usage

 hrbu(Qx, Qs=NULL)

Arguments

Qx	The quantity of actual failures
Qs	An optional quantity of suspensions

Details

This as many references discuss the bias reduction in terms of mean. (Dr. Abernethy makes a strong recommendation for use of the 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<-mlefit(mleframe(failures,suspensions))
MLE_Unbiased<-c(MLEfit[1],MLEfit[2]*hrbu(length(failures),length(suspensions)))

abremDebias documentation built on May 2, 2019, 5:17 p.m.