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.
机构:
Aliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Samanta, Debashis
Koley, Arnab
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Indian Inst Management Indore, Operat Management & Quantitat Tech, Rau Pithampur Rd, Indore 453556, Madhya Pradesh, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Koley, Arnab
Gupta, Arindam
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机构:
Burdwan Univ, Dept Stat, Burdwan, West Bengal, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Gupta, Arindam
Kundu, Debasis
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机构:
Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
机构:
Aliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
Samanta, Debashis
Mondal, Shuvashree
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h-index: 0
机构:
Indian Inst Technol ISM Dhanbad, Dept Math & Comp, Dhanbad, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
Mondal, Shuvashree
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
Aliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
IIT Kanpur, Dept Math & Stat, Kanpur, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
机构:
Aliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Samanta, Debashis
Koley, Arnab
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Management Indore, Operat Management & Quantitat Tech, Rau Pithampur Rd, Indore 453556, Madhya Pradesh, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Koley, Arnab
Gupta, Arindam
论文数: 0引用数: 0
h-index: 0
机构:
Burdwan Univ, Dept Stat, Burdwan, West Bengal, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
Gupta, Arindam
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, IndiaAliah Univ, Dept Stat & Informat, Kolkata 700156, West Bengal, India
机构:
Aliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
Samanta, Debashis
Mondal, Shuvashree
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Technol ISM Dhanbad, Dept Math & Comp, Dhanbad, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
Mondal, Shuvashree
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
Aliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India
IIT Kanpur, Dept Math & Stat, Kanpur, IndiaAliah Univ, Dept Math & Stat, Kolkata 700156, W Bengal, India