A family of non-parametric tests for decreasing mean time to failure with censored data

Article Type

Research Article

Publication Title

Communications in Statistics - Theory and Methods

Abstract

In this article, we propose a family of non-parametric tests for testing exponentiality against decreasing mean time to failure class alternatives. We obtain the exact null distribution of the test statistic and calculate the critical values for different sample sizes. We also extend our test to incorporate right censored observations. We discuss the efficiency loss due to censoring and calculate it for some choice of censoring distribution. A simulation result is presented to show the performance of the proposed test. Finally, the test procedure is illustrated using a real data.

First Page

203

Last Page

215

DOI

10.1080/03610926.2019.1634207

Publication Date

1-1-2021

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