Estimation of constant-stress accelerated life test for Weibull distribution with nonconstant shape parameter

被引:20
|
作者
Wang, Liang [1 ]
机构
[1] Xidian Univ, Sch Math & Stat, 2 Taiba Nanlu, Xian 710071, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Accelerated life test; Weibull population; Progressive censoring; Nonconstant shape parameters; Maximum likelihood estimation; Bootstrap technique; MODEL; DIELECTRICS; INFERENCE; ALGORITHM; DESIGN;
D O I
10.1016/j.cam.2018.05.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Statistical inference is considered on constant-stress accelerated life test when the failure data are progressively Type-II censored. Under the assumption that the Weibull shape parameter is nonconstant and both Weibull parameters follow log-linear life-stress model with stress, the unknown coefficient parameters are estimated by using methods of maximum likelihood and expectation-maximization based estimations as well as approximation maximum likelihood estimation. The confidence intervals of unknown parameters are also constructed based on asymptotic theory and bootstrap technique. Simulation study and a real data example are presented for illustrative purpose. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:539 / 555
页数:17
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