Two-sample nonparametric test for comparing mean time to failure functions in age replacement

A two-sample nonparametric test based on two independent samples is proposed for comparing mean time to failure (MTTF) functions of two life distributions. The proposed test has the flexibility of handling unequal sample sizes and crossings of mean time to failure functions. The test is shown to be...

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Bibliographic Details
Published in:Journal of statistical planning and inference 2021-05, Vol.212, p.34-44
Main Authors: Bhattacharyya, Dhrubasish, Khan, Ruhul Ali, Mitra, Murari
Format: Article
Language:English
Subjects:
Asymptotic normality
Mean time to failure function
Monte Carlo study
Nonparametric test
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Summary:A two-sample nonparametric test based on two independent samples is proposed for comparing mean time to failure (MTTF) functions of two life distributions. The proposed test has the flexibility of handling unequal sample sizes and crossings of mean time to failure functions. The test is shown to be consistent and a bound on asymptotic size has been derived. A computational technique is devised for evaluating the proposed test statistic. A simulation study is carried out for assessing the merit of the proposed test procedure. Finally, the test is applied to real-life data sets for illustration. •A nonparametric test procedure is developed for MTTF order dominance of two distributions.•The proposed two-sample test has the flexibility of handling crossings of two MTTF functions.•The consistency of the test is established and a bound on asymptotic size is obtained.•A nice computational technique is presented for evaluation of the proposed test statistic.
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2020.10.003