Bayesian Estimation Under Constant-Stress Partially Accelerated Life Test for Pareto Distribution with Type-I Censoring

被引：12
|
作者：
Ismail, Ali A. [1 ,2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
[2] Cairo Univ, Fac Econ & Polit Sci, Dept Stat, Giza 12613, Egypt
来源：
STRENGTH OF MATERIALS | 2015年 / 47卷 / 04期
关键词：
reliability; testing; maximum likelihood estimation; Bayesian estimation; squared error loss function; EXPONENTIAL-DISTRIBUTION; DISTRIBUTION PARAMETERS; OPTIMAL-DESIGN;
D O I：
10.1007/s11223-015-9699-y
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
This article discusses likelihood and Bayesian estimations under constant-stress partially accelerated life test model with type-I censoring assuming Pareto distribution of the second kind. Both maximum likelihood and Bayesian estimators of the model parameters are derived. The posterior means and posterior variances are obtained under the squared error loss function using Lindley's approximation procedure. The advantages of this approximation are shown. Monte Carlo simulations are made under different samples sizes and different parameter values for evaluating and comparing the proposed methods of estimation.
引用
收藏
页码：633 / 641
页数：9
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