Title
Bootstrapping Computation of Availability for a Repairable System with Standby Subject to Imperfect Switching
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.
Year
DOI
Venue
2011
10.1080/03610918.2010.546539
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Availability,Bootstrap method,Recursive method,Repairable system,Simulation,Supplementary variable technique
Journal
40
Issue
ISSN
Citations 
4
0361-0918
3
PageRank 
References 
Authors
0.44
4
4
Name
Order
Citations
PageRank
Tzu-hsin Liu1387.55
Jau-Chuan Ke234844.17
Yu-Lun Hsu340.85
y l hsu4516.71