Testing goodness-of-fit for some lifetime distributions with conventional Type-I censoring

A goodness-of-fit test procedure is proposed for some lifetime distributions when the available data are subject to Type-I censoring. The proposed method extends the test procedure of Pakyari and Balakrishnan to other lifetime distributions. The extension to Weibull and log-normal models is studied...

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Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 46; no. 4; pp. 2998 - 3009
Main Authors Pakyari, Reza, Nia, K. Resalati
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 21.04.2017
Taylor & Francis Ltd
Subjects
Anderson-Darling statistic
Cramér-von Mises statistic
Empirical power
Goodness-of-fit testing
Monte Carlo simulation
Order statistics
Primary 62N01
Secondary 60E05
Type-I censoring
Uniform distribution
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ISSN0361-0918
1532-4141
DOI10.1080/03610918.2015.1069347

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Summary:A goodness-of-fit test procedure is proposed for some lifetime distributions when the available data are subject to Type-I censoring. The proposed method extends the test procedure of Pakyari and Balakrishnan to other lifetime distributions. The extension to Weibull and log-normal models is studied in details. The new test recovers the nominal level of significance and exhibits more power in comparison to the existing tests for several alternative distributions by means of Monte Carlo simulations. Finally, a real dataset is considered for illustrative purposes.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2015.1069347