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Bootstrapping Computation of Availability for a Repairable System with Standby Subject to Imperfect Switching.
- Source :
-
Communications in Statistics: Simulation & Computation . Apr2011, Vol. 40 Issue 4, p469-483. 15p. 1 Diagram, 3 Charts. - Publication Year :
- 2011
-
Abstract
- This article deals with the availability behavior of a repairable system in which standby switched to primary is subject to breakdowns. The time-to-failure of the four primary and two standby units are assumed to be exponentially and generally distributed. In addtion, the repair time of service station follow four common distributions: exponential (EXP), Gamma (G), Uniform (U), and Mixture (M). We use a recursive method, and the supplementary variable technique to develop the steady-state availability, Av. The estimator [image omitted] is strongly consistent and asymptotically normal. The interval estimations of Av are constructed by five bootstrap approaches: standard bootstrap confidence interval (SB), the percentile bootstrap confidence interval (PB), the bias-corrected percentile bootstrap confidence interval (BCPB), the bias-corrected and accelerated confidence interval (BCa), and bootstrap pivot confidence interval (BP). Finally, some simulation computations are conducted in order to describe the performances of [image omitted] on various interval estimation by calculating the coverage percentage and the average length of intervals. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03610918
- Volume :
- 40
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Simulation & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 59131122
- Full Text :
- https://doi.org/10.1080/03610918.2010.546539