Cure Rate-Based Step-Stress Model

被引:0
作者
Pal, Ayan [1 ]
Samanta, Debashis [2 ]
Kundu, Debasis [3 ]
机构
[1] Univ Burdwan, Dept Stat, Burdwan 713104, W Bengal, India
[2] Aliah Univ, Dept Math & Stat, 2-A-27,Act Area 2, Kolkata 700156, W Bengal, India
[3] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, India
关键词
Step-stress model; Failure rate-based SSALT model; Cure rate; EM algorithm; Maximum likelihood estimator; Reparametrization technique; Confidence interval; ORDER RESTRICTED INFERENCE;
D O I
10.1007/s42519-022-00313-4
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this article, we consider step-stress accelerated life testing (SSALT) models assuming that the time-to-event distribution belongs to the proportional hazard family and the underlying population consists of long-term survivors. Further, with an increase in stress levels, it is natural that the mean time to the event of interest gets shortened and hence a method of obtaining order-restricted maximum likelihood estimators (MLEs) of the model parameters is proposed based on expectation maximization (EM) algorithm coupled with the reparametrization technique. To illustrate the effectiveness of the proposed method, extensive simulation experiments are performed and a real-life data example is analyzed in detail.
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页数:28
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