Constrained Optimal Designs for Step-Stress Accelerated Life Testing Experiments

被引：0
|
作者：
Xu, Xiaojian [1 ]
Huang, Wanyi [1 ]
机构：
[1] Brock Univ, Dept Math & Stat, St Catharines, ON, Canada
来源：
2018 IEEE 3RD INTERNATIONAL CONFERENCE ON CLOUD COMPUTING AND BIG DATA ANALYSIS (ICCCBDA) | 2018年
关键词：
step-stress accelerated life test; Cox's proportional hazards model; maximum likelihood estimation; optimal design; Fisher's information; optimal stress-changing time; design constraint; asymptotic variance; D-optimality; A-optimality; Q-optimality;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider multiple step-stress accelerated life testing (ALT) plans with time-censoring. The maximum likelihood method is used for estimating the model parameters. The information matrix is derived, and the optimal stress levels and the optimal stress-changing times are determined under three optimality criteria: D-, A-, and Q-optimalities for the proportional hazards models. The efficiencies of our resulting optimal three-step-stress ALT plans are compared with their competitors. The efficiency comparison results have shown that the three-step-stress designs we have obtained with both an optimal middle stress level and two optimal stress changing times are more efficient.
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页码：633 / 638
页数：6
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