Estimation of Stress-Strength Reliability of Power Distribution under Type-II Censored Data

被引：0

作者：

Chaudhary, Sachin ^{[1
]}

Gupta, Srikant ^{[2
]}

Kumar, Jitendra ^{[3
]}

机构：

[1] Govt Med Coll, Dept Community Med, Kannauj, UP, India

[2] Jaipuria Inst Management, Dept Decis Sci, Jaipur, Rajasthan, India

[3] Planning Dept, Directorate Econ & Stat, Delhi, India

来源：

THAILAND STATISTICIAN | 2024年 / 22卷 / 03期

关键词：

Maximum likelihood estimator; right censoring; asymptotic confidence interval; real data; P[Y < X; GOODNESS-OF-FIT; MODEL;

D O I：

暂无

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 the statistical literature, there are many lifetime distributions used in reliability analysis, including exponential, normal, gamma, and Weibull distributions. Power distribution is also useful in many scientific contexts, with significant consequences for our understanding of natural and manmade phenomena. This expository paper presents the evaluation of reliability when stress and strength follow power distribution with a common scale and different shape parameters. We obtain maximum likelihood (ML) estimates of stress-strength reliability with their confidence intervals. Furthermore, to compare the performance of various procedures, we apply statistical simulation. Finally, an analysis of a real dataset is given for illustrative purposes.

引用

页码：701 / 719

页数：19

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