Reliability analysis of Kumaraswamy distribution under progressive first-failure censoring | ||
| Journal of Statistical Modelling: Theory and Applications | ||
| دوره 2، شماره 1، فروردین 2021، صفحه 67-99 اصل مقاله (244.25 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22034/jsmta.2021.2329 | ||
| نویسندگان | ||
| Somayeh Ghafouri* 1؛ Manoj Kumar Rastogi2 | ||
| 1Department of Mathematics, Faculty of Sciences, Arak University, Arak 38156-8-8349, Iran | ||
| 2Department of Statistics, Patna University, Patna, Bihar, 800005, India | ||
| چکیده | ||
| In this article, we consider the estimation of the parameters and reliability characteristics of Kumaraswamy distribution using progressive first failure censored samples. First, we derive the maximum likelihood estimates using an expectation-maximization algorithm and compute the observed information of the parameters that can be used for constructing asymptotic confidence intervals. We also compute the Bayes estimates of the parameters using Lindley approximation as well as the Metropolis-Hastings algorithm. Furthermore, we derive the highest posterior density credible intervals. Simulation studies are conducted to evaluate the performance of the point and interval estimators. Finally, two examples of real data sets are provided to illustrate the proposed procedures. | ||
| کلیدواژهها | ||
| Bayes estimation؛ EM algorithm؛ Kumaraswamy distribution؛ Maximum likelihood method؛ Progressive first-failure censoring | ||
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آمار تعداد مشاهده مقاله: 274 تعداد دریافت فایل اصل مقاله: 220 |
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