Cure Rate-Based Step-Stress Model

被引：0
作者：
Ayan Pal
Debashis Samanta
Debasis Kundu
机构：
[1] The University of Burdwan,Department of Statistics
[2] Golapbag,Department of Mathematics and Statistics
[3] Aliah University,Department of Mathematics and Statistics
[4] Indian Institute of Technology Kanpur,undefined
来源：
Journal of Statistical Theory and Practice | 2023年 / 17卷
关键词：
Step-stress model; Failure rate-based SSALT model; Cure rate; EM algorithm; Maximum likelihood estimator; Reparametrization technique; Confidence interval;
D O I：
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学科分类号：
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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