Tests of non-monotonic stochastic aging notions in reliability theory

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 ,...

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Bibliographic Details
Published inStatistical papers (Berlin, Germany) Vol. 55; no. 3; pp. 691 - 714
Main Author Anis, M. Z.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014
Springer Nature B.V
Subjects
Aging
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Failure rates
Finance
Insurance
Laplace transforms
Management
Mathematical analysis
Mathematics and Statistics
Normal distribution
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Regular Article
Statistics
Statistics for Business
Stochastic models
Stochasticity
Studies
Gaussian process
62 G20
90 B25
Total time on test
62 G10
Empirical distribution function
Change point
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Summary: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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ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-013-0520-3