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

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 stu...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2013-03, Vol.42 (5), p.898-906
Main Authors: Wang, Bing Xing, Xie, Min, Zhou, Jun Xing
Format: Article
Language:English
Subjects:
Computer simulation
Confidence intervals
Generalized confidence interval
Intervals
Monte Carlo methods
Monte Carlo simulation
Non homogeneous Poisson process
Power-law process
Repairable system
Scale parameter
Statistics
Stochastic models
System reliability
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Summary: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.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2011.588363