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General Conditions for Comparing the Reliability Functions of Systems of Components Sharing a Common Environment

Part of: Multivariate analysis Distribution theory Design of experiments

Published online by Cambridge University Press:  14 July 2016

Steven T. Garren  and
Donald St. P. Richards
Steven T. Garren*
Affiliation:
University of Virginia
Donald St. P. Richards*
Affiliation:
University of Virginia
*
∗Postal address: 104 Halsey Hall, Division of Statistics, University of Virginia, Charlottesville, VA 22903, USA.
∗∗Postal address: 107 Halsey Hall, Division of Statistics, University of Virginia, Charlottesville, VA 22903, USA.
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Abstract

We present general criteria for analyzing the crossing characteristics of RI, the reliability function of an m-of-n system of components operating within a laboratory (or test-bench) environment, and RO, the reliability function of the same system now operating subject to an external environment. Inside the laboratory the components' lifetimes may be dependently distributed, and the external environment is modeled using the general approach of Lindley and Singpurwalla (1986). Our techniques, which utilize results basic to the theory of order statistics, apply to broad classes of external environment models.

Keywords

Exponential distributiongamma distributionm-of-n systemMarshall-Olkin distributionmultivariate Weibull distributionorder statisticssystem reliability

MSC classification

Primary: 62K10: Block designs 62E10: Characterization and structure theory
Secondary: 62H10: Distribution of statistics 62E15: Exact distribution theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 35 , Issue 1 , March 1998 , pp. 124 - 135
Copyright
Copyright © Applied Probability Trust 1998 

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