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Bayesian and non-bayesian estimation of stress–strength model for Pareto type I distribution | ||
| Iranian Journal of Science | ||
| مقاله 3، دوره 37، شماره 3.1، آذر 2013، صفحه 335-342 اصل مقاله (173.83 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1632 | ||
| نویسندگان | ||
| A. I. Shawky* 1؛ F. H. Al-Gashgari2 | ||
| 1Department of Statistics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589 | ||
| 2Department of Statistics, Faculty of Sciences for Girls, King Abdulaziz University, P.O. Box 53873, Jeddah 21593, Saudi Arabia | ||
| چکیده | ||
| This article examines statistical inference for where and are independent but not identically distributed Pareto of the first kind (Pareto (I)) random variables with same scale parameter but different shape parameters. The Maximum likelihood, uniformly minimum variance unbiased and Bayes estimators with Gamma prior are used for this purpose. Simulation studies which compare the estimators are presented. Moreover, sensitivity of Bayes estimator to the prior parameters is considered. | ||
| کلیدواژهها | ||
| Bayesian estimator؛ Maximum likelihood estimator (MLE)؛ Pareto of first kind؛ uniformly minimum variance unbiased estimator (UMVUE)؛ stress-strength model | ||
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