The observed hazard and multicomponent systems

Mark Brown and Sheldon M. Ross

Naval Research Logistics Quarterly, 1982, vol. 29, issue 4, 679-683

Abstract: Let X denote the life of some system. We define the observed hazard rate at time t, call it R (t), as the instantaneous probability (density) of failure of X at time t given survival up to t and given a complete description of the system state at t. We conjecture that the total observed hazard—namely, σoX R(t)dt—is an exponential random variable with mean 1 and verify this for the special case when X is the distribution of system life of an n component system having an arbitrary monotone structure function.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:29:y:1982:i:4:p:679-683

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