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Tests of non-monotonic stochastic aging notions in reliability theory

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Abstract

Testing of various classes of life distributions has been a subject of investigation for more than four decades. In this study we restrict ourselves to the problem of testing exponentiality against non-monotonic aging notions. We model non-monotonic aging using the notions of bathtub failure rate, increasing and then decreasing mean residual life and new worse then better than used in expectation classes. The different tests of exponentiality against these alternatives are discussed in detail.

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Acknowledgments

Thanks are due to the Editor-in-Chief Prof. Christine H. Müller and two anonymous reviewers for their constructive comments which substantially improved the presentation.

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  1. SQC & OR Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India

    M. Z. Anis

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  1. M. Z. Anis
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Anis, M.Z. Tests of non-monotonic stochastic aging notions in reliability theory. Stat Papers 55, 691–714 (2014). https://doi.org/10.1007/s00362-013-0520-3

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  • DOI: https://doi.org/10.1007/s00362-013-0520-3

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