Testing Exponentiality Against a Trend Change in Mean Time to Failure in Age Replacement

TL;DR

This paper introduces a new statistical test to detect changes in mean time to failure under age replacement policies, providing a method to evaluate the exponentiality assumption in reliability analysis.

Contribution

The paper proposes a novel test for exponentiality against trend changes in mean time to failure specifically for age replacement models, with derived asymptotic distribution.

Findings

The test's asymptotic distribution under the null hypothesis is derived.

Simulation results show the test performs well compared to existing methods.

The test effectively detects trend changes in mean time to failure.

Abstract

Mean time to failure in age replacement evaluates the performance and effectiveness of the age replacement policy. In this paper, we propose a test for exponentiality against a trend change in mean time to failure in age replacement. We derive the asymptotic distribution of the test statistics under the null hypothesis to approximate the critical values. We conduct a simulation study to investigate the performance of the proposed test and compare it with some well known tests in the literature.