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Testing exponentiality based on Type-I censored data |
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| Authors: | Reza Pakyari N Balakrishnan |
| Institution: | 1. Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iranr-pakyari@araku.ac.ir;3. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 |
| Abstract: | The problem of goodness-of-fit for the exponential distribution when the available data are subject to Type-I censoring is discussed here. A test procedure is proposed in this case that exhibits more power as compared to existing methods. The power of the proposed test is assessed for several alternative distributions by means of Monte Carlo simulations. Finally, the proposed test is illustrated with a real data set. |
| Keywords: | Anderson–Darling statistic Cramér–von Mises statistic empirical power exponential distribution goodness-of-fit testing Kolmogorov–Smirnov statistic Monte Carlo simulation mixture distribution order statistics Type-I censoring uniform distribution |