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:
Univ Burdwan, Dept Stat, Burdwan, W Bengal, India
Univ Burdwan, Dept Stat, Burdwan 713104, W Bengal, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
Pal, Ayan
Mitra, Sharmishtha
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机构:
Indian Inst Technol, Dept Math & Stat, Kanpur, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
Mitra, Sharmishtha
Kundu, Debasis
论文数: 0引用数: 0
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机构:
Indian Inst Technol, Dept Math & Stat, Kanpur, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
Ismail, Ali A.
Abu-Youssef, S. E.
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King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
机构:
Aliah Univ, Dept Math & Stat, Kolkata, India
Aliah Univ, Dept Math & Stat, II-A-27,Act Area 2, Kolkata 700156, West Bengal, IndiaAliah Univ, Dept Math & Stat, Kolkata, India
Samanta, Debashis
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
IIT Kanpur, Dept Math & Stat, Kanpur, IndiaAliah Univ, Dept Math & Stat, Kolkata, India
机构:
Univ Burdwan, Dept Stat, Burdwan, W Bengal, India
Univ Burdwan, Dept Stat, Burdwan 713104, W Bengal, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
Pal, Ayan
Mitra, Sharmishtha
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Technol, Dept Math & Stat, Kanpur, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
Mitra, Sharmishtha
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Technol, Dept Math & Stat, Kanpur, IndiaUniv Burdwan, Dept Stat, Burdwan, W Bengal, India
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
Ismail, Ali A.
Abu-Youssef, S. E.
论文数: 0引用数: 0
h-index: 0
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
机构:
Aliah Univ, Dept Math & Stat, Kolkata, India
Aliah Univ, Dept Math & Stat, II-A-27,Act Area 2, Kolkata 700156, West Bengal, IndiaAliah Univ, Dept Math & Stat, Kolkata, India
Samanta, Debashis
Kundu, Debasis
论文数: 0引用数: 0
h-index: 0
机构:
IIT Kanpur, Dept Math & Stat, Kanpur, IndiaAliah Univ, Dept Math & Stat, Kolkata, India