Reliability analysis of multicomponent stress-strength reliability from a bathtub-shaped distribution

被引：21

作者：

Wang, Liang ^{[1
,2
]}

Wu, Ke ^{[2
]}

Tripathi, Yogesh Mani ^{[3
]}

Lodhi, Chandrakant ^{[3
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China

[2] Yunnan Normal Univ, Sch Math, Kunming, Yunnan, Peoples R China

[3] Indian Inst Technol Patna, Dept Math, Bihta, India

来源：

JOURNAL OF APPLIED STATISTICS | 2022年 / 49卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Multicomponent stress-strength model; bathtub-shaped distribution; likelihood estimation; pivotal quantity; generalized estimation; LIFETIME DISTRIBUTION; BAYESIAN-ESTIMATION; RECORD VALUES; MODEL;

D O I：

10.1080/02664763.2020.1803808

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 paper, inference for a multicomponent stress-strength model is studied. When latent strength and stress random variables follow a bathtub-shaped distribution and the failure times are Type-II censored, the maximum likelihood estimate of the multicomponent stress-strength reliability (MSR) is established when there are common strength and stress parameters. Approximate confidence interval is also constructed by using the asymptotic distribution theory and delta method. Furthermore, another alternative generalized point and confidence interval estimators for the MSR are constructed based on pivotal quantities. Moreover, the likelihood and the pivotal quantities-based estimates for the MSR are also provided under unequal strength and stress parameter case. To compare the equivalence of the stress and strength parameters, the likelihood ratio test for hypothesis of interest is also provided. Finally, simulation studies and a real data example are given for illustration.

引用

页码：122 / 142

页数：21