Interval Estimation of the Stress-Strength Reliability in Lehmann Family of Distributions

被引：0

作者：

Scaria, Sanju ^{[1
]}

Jose, Sibil ^{[2
]}

Thomas, Seemon ^{[3
]}

机构：

[1] St Thomas Coll Palai, Dept Stat, Kottayam, Kerala, India

[2] St Georges Coll Aruvithura, Kottayam, Kerala, India

[3] St Dominics Coll Kanjirappally, Kottayam, Kerala, India

来源：

JOURNAL OF RELIABILITY AND STATISTICAL STUDIES | 2023年 / 16卷 / 02期

关键词：

Stress-strength reliability; Lehmann family; generalized pivotal quantity; boot-strap confidence interval;

D O I：

10.13052/jrss0974-8024.1622

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 presents a unified approach for computing confidence limits for stress-strength reliability when strength and stress are independent random variables following a distribution in Lehmann family. The generalized confidence interval and the bootstrap confidence intervals are obtained. Simulation studies are conducted to assess the performance of the proposed methods in terms of the estimated coverage probabilities and the length of the confidence intervals. An example is also provided for illustration.

引用

页码：243 / 253

页数：11

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