Estimating the parameters of Weibull distribution and the acceleration factor from hybrid partially accelerated life test

被引:44
作者
Ismail, Ali A. [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
关键词
Savings in time and money; Partially accelerated life testing; Step-stress; Weibull distribution; Maximum likelihood; Fisher information matrix; EXPONENTIAL-DISTRIBUTION; CENSORING SCHEMES; OPTIMAL-DESIGN;
D O I
10.1016/j.apm.2011.09.083
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This article considers the estimation of parameters of Weibull distribution based on hybrid censored data. The parameters are estimated by the maximum likelihood method under step-stress partially accelerated test model. The maximum likelihood estimates (MLEs) of the unknown parameters are obtained by Newton-Raphson algorithm. Also, the approximate Fisher information matrix is obtained for constructing asymptotic confidence bounds for the model parameters. The biases and mean square errors of the maximum likelihood estimators are computed to assess their performances through a Monte Carlo simulation study. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:2916 / 2921
页数:6
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