Generalized Confidence Interval for the Scale Parameter of the Power-Law Process

被引：10

作者：

Wang, Bing Xing ^{[1
]}

Xie, Min ^{[2
]}

Zhou, Jun Xing ^{[3
]}

机构：

[1] Zhejiang Gongshang Univ, Dept Stat, Hangzhou, Zhejiang, Peoples R China

[2] Natl Univ Singapore, Dept Ind & Syst Engn, Singapore 117548, Singapore

[3] Zhejiang Univ Finance & Econ, Dept Stat, Hangzhou, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2013年 / 42卷 / 05期

关键词：

Generalized confidence interval; Non homogeneous Poisson process; Power-law process; Repairable system; Scale parameter; 62N02; 62N05; RELIABILITY GROWTH-MODELS; OF-FIT TEST; REPAIRABLE SYSTEMS; WEIBULL PROCESS; STATISTICAL-ANALYSIS; DUANE PLOT; INFERENCE;

D O I：

10.1080/03610926.2011.588363

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：

The power-law process is widely used in the analysis of repairable system reliability. In this article, interval estimation for the scale parameter is investigated under some general conditions. A procedure to derive a generalized confidence interval for the scale parameter is presented. We also study the accuracy of the generalized confidence interval by Monte Carlo simulation. Finally, two examples are shown to illustrate the proposed procedure.

引用

页码：898 / 906

页数：9

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