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

被引:0
作者
Ali A. Ismail
机构
[1] King Saud University,
[2] College of Science,undefined
[3] Department of Statistics and Operations Research,undefined
[4] Cairo University,undefined
[5] Faculty of Economics & Political Science,undefined
[6] Department of Statistics,undefined
来源
Strength of Materials | 2015年 / 47卷
关键词
reliability; testing; maximum likelihood estimation; Bayesian estimation; squared error loss function;
D O I
暂无
中图分类号
学科分类号
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.
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页码:633 / 641
页数:8
相关论文
共 16 条
[1]  
Ali A(2013)Ismail, “Estimating the generalized exponential distribution parameters and the acceleration factor under constant-stress partially accelerated life testing with type-II censoring,” Strength Mater. 45 693-702
[2]  
Bai DS(1992)Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring IEEE Trans. Reliab. 41 400-406
[3]  
Chung SW(1993)Optimal design of partially accelerated life tests for the lognormal distribution under type-I censoring Reliab. Eng. Syst. Safety 40 85-92
[4]  
Bai DS(2011)Optimum constant-stress life test plans for Pareto distribution under type-I censoring J. Stat. Comput. Simul. 81 1835-1845
[5]  
Chung DSW(2014)Ismail, “On designing constant-stress partially accelerated life tests under time-censoring,” Strength Mater. 46 132-139
[6]  
Chun YR(1994)Approximate Bayesian inference for accelerated life tests J. Appl. Stat. Sci. 1 223-237
[7]  
Ismail AA(1979)Bayesian and optimal design in partially accelerated life testing Naval Res. Logist. Quart. 16 223-235
[8]  
Abdel-Ghaly AA(2010)Bayes estimation of Gompertz distribution parameters and acceleration factor under partially accelerated life tests with type-I censoring J. Stat. Comput. Simul. 80 1253-1264
[9]  
El-Khodary EH(1980)Approximate Bayesian methods Trabajos Estadistica 31 223-237
[10]  
Ali A(1980)Discussant on D. V. Lindley’s (1980) paper on approximate Bayesian methods Trabajos Estadistica 31 241-243