General conditions for comparing the reliability functions of systems of components sharing a common environment

Steven T. Garren, Donald St P. Richards

Research output: Contribution to journalArticle


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 testbench) 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.

Original languageEnglish (US)
Pages (from-to)124-135
Number of pages12
JournalJournal of Applied Probability
Issue number1
Publication statusPublished - Jan 1 1998


All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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