Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes

被引：0

作者：

Baratnia, M. ^{[1
]}

Roknabadi, A. H. Rezaei ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Stat, POB 91775-1159, Mashhad, Razavi Khorasan, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 09期

关键词：

Developed sequential order statistics; Residual lifetime; Prediction; Archimedean copulas; ORDER-STATISTICS; RELIABILITY; TIME;

D O I：

10.1080/03610926.2021.1969408

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：

This paper deals with residual lifetimes of sequential k-out-of-n systems when component lifetimes are dependent. Given the first j component failure times, an unbiased predictor for the (j + i)-th component failure time is derived. Maximum likelihood prediction of future component failure times is also studied. Estimation of the nuisance parameters is investigated under the conditional proportional hazard rates model with the Exponential baseline distribution and the Gumbel-Hougaard copula. Illustrative examples are also given.

引用

页码：3178 / 3192

页数：15

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