Parameter estimation of Weibull-Exponential distribution under Type-I hybrid censored sample

被引:2
|
作者
Abushal, Tahani A. [1 ]
机构
[1] Umm Al Qura Univ, Fac Sci, Dept Math, Mecca, Saudi Arabia
关键词
Hybrid Type-I censoring; Lindley's approximation method; Metropolis-Hastings algorithm; Squared error loss function;
D O I
10.1016/j.jksus.2018.02.004
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We have studied the problem of estimation of unknown parameters of a Weibull-Exponential distribution (WED) under Type-I hybrid censored data in this paper. The maximum likelihood estimates (MLE's) are derived. Using asymptotic distributions property of MLE's, we constructed asymptotic interval estimates. We derived Bayes estimates based on the squared error loss function using the Lindley method and Metropolis-Hastings (M-H) algorithm. Highest posterior density (HPD) credible intervals are also obtained. In each case, to compare the proposed estimates using simulations and illustrative example is also presented a numerical study is performed. Two data analysis has been performed for illustrative purposes. (C) 2018 Production and hosting by Elsevier B.V. on behalf of King Saud University.
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页码:1431 / 1436
页数:6
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