An exact test for renewal increasing mean residual life

TL;DR

This paper introduces an exact statistical test to determine if a lifetime distribution exhibits renewal increasing mean residual life, with demonstrated effectiveness and applicability to censored data.

Contribution

The paper presents a novel exact test for renewal increasing mean residual life, including handling right censored observations, and evaluates its performance.

Findings

Test performs well according to Pitman's asymptotic efficacy

Numerical results confirm the test's effectiveness

Method accommodates right censored data

Abstract

In this paper, we develop an exact test for testing exponentiality against renewal increasing mean residual life class. Pitman's asymptotic efficacy value shows that our test perform well. Some numerical results are presented to demonstrate the performance of the testing method. We also discuss how the proposed method incorporates the right censored observations.