Testing goodness-of-fit for some lifetime distributions with conventional Type-I censoring |
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| Authors: | Reza Pakyari K Resalati Nia |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Arak University, Arak, Iran;2. Mathematics Department, Islamic Azad University, Arak Branch, Iran |
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| Abstract: | 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. |
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| Keywords: | Anderson–Darling statistic Cramér–von Mises statistic Empirical power Goodness-of-fit testing Monte Carlo simulation Order statistics Type-I censoring Uniform distribution |
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