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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| Published in | Communications in statistics. Simulation and computation Vol. 46; no. 4; pp. 2998 - 3009 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis
21.04.2017
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0361-0918 1532-4141 |
| DOI | 10.1080/03610918.2015.1069347 |
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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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| AbstractList | 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. |
| Author | Nia, K. Resalati Pakyari, Reza |
| Author_xml | – sequence: 1 givenname: Reza surname: Pakyari fullname: Pakyari, Reza email: r-pakyari@araku.ac.ir organization: Department of Mathematics, Faculty of Science, Arak University – sequence: 2 givenname: K. Resalati surname: Nia fullname: Nia, K. Resalati organization: Mathematics Department, Islamic Azad University |
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| Copyright | 2017 Taylor & Francis Group, LLC 2017 2017 Taylor & Francis Group, LLC |
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| References | Stephens M. A. (cit0018) Habibi Rad A. (cit0009); 60 Barr D. R. (cit0005); 15 Cohen A. C. (cit0006) Pakyari R. (cit0015); 83 Varadhan R. (cit0019); 832 David H. A. (cit0008) Huber-Carol C. (cit0010) R Core Team. (cit0017) Balakrishnan N. (cit0003); 56 Pakyari R. (cit0014); 61 Joarder A. (cit0011); 55 Pettitt A. N. (cit0016); 63 Lin C.T. (cit0013); 75 Lim J. (cit0012); 34 Arnold B. C. (cit0001) Balakrishnan N. (cit0004); 53 Michael, J. R., Schucany, W. R. (cit0114); 21 Balakrishnan N. (cit0002) D’Agostino R. B. (cit0007) |
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| Snippet | 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... |
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| SubjectTerms | 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 |
| Title | Testing goodness-of-fit for some lifetime distributions with conventional Type-I censoring |
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