莱曼分布系列中应力强度可靠性的区间估算

IF 0.9 Q3 STATISTICS & PROBABILITY

Journal of Reliability and Statistical Studies Pub Date : 2023-12-26 DOI:10.13052/jrss0974-8024.1622

Sanju Scaria, Sibil Jose, Seemon Thomas

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引用次数: 0

摘要

本文提出了一种计算应力-强度可靠性置信区间的统一方法，当强度和应力都是独立随机变量，服从 Lehmann 族分布时。该方法获得了广义置信区间和自举置信区间。通过模拟研究评估了所提方法在估计覆盖概率和置信区间长度方面的性能。此外，还提供了一个示例进行说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Journal of Reliability and Statistical Studies STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

12.50%

发文量