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.

引用

页码：633 / 638

页数：6