Letter to the Editor---A Note on Conditional Probability of Failure When Hazards are Proportional

William Allen

Operations Research, 1963, vol. 11, issue 4, 658-659

Abstract: The following result is of some interest to people studying equipment failure models [Barlow, R. E., L. Hunter, F. Proschan. 1963. Optimum redundancy when components are subject to open and short circuit failures. J. Soc. Indust. Appl. Math. 11 64--73.], and I shall state it in those terms. The result and the proof are of the type that make one think that this is probably a folk theorem but none of the folks I know, or that have reviewed the paper, seem to know the result.

Date: 1963
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