Is it Correct to Use MLE Method for GRP Parameter Estimation ?

TL;DR

This paper questions the appropriateness of using Maximum Likelihood Estimation for reliability parameters in Generalized Renewal Processes, highlighting potential issues with traditional estimation methods in complex repair scenarios.

Contribution

It critically examines the validity of MLE for G-RP parameter estimation, proposing considerations for more accurate reliability analysis in imperfect maintenance contexts.

Findings

MLE may not always be suitable for G-RP parameter estimation

Traditional methods can lead to biased reliability assessments

The paper suggests alternative approaches for better accuracy

Abstract

Analysis of repair systems usually uses an As Good As New or As Bad As Old repair assumptions. In practice, repair actions do not result in such extreme situations, but rather in a complex transitional one, that is imperfect maintenance, i.e. Generalized Renewal Process. Maximum Likelihood Estimation method is often used for reliability parameter estimation, but is it correct to use it for Generalized Renewal Process