
Accession Number : AD0627305
Title : ON CONFIDENCE LIMITS FOR THE RELIABILITY OF SYSTEMS,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
Personal Author(s) : Myhre,Janet ; Saunders,San C.
Report Date : NOV 1965
Pagination or Media Count : 40
Abstract : An application of the asymptotic Chisquare distribution of the loglikelihood ratio is made to obtain approximate confidence intervals (or interval estimates) for the reliability of any structure of the class of structures which can be represented by a monotone Boolean function of Bernoulli variates. This is for the case when the data available consists of a number of Bernoulli trials for the performance or nonperformance of the components. Some special methods are obtained for a subclass of structures which contain those which fail if, and only if, a certain prescribed number of their components fail. This generalizes the results of A. Madansky (AD609 429) for series, parallel and seriesparallel systems. Computational procedures are given and some numerical studies are reported which assess how accurate the confidence intervals are as a function of the sample size. Some comparisons are made with exact results in the cases where they are known. (Author)
Descriptors : (*STATISTICAL ANALYSIS, RELIABILITY), PERFORMANCE(ENGINEERING)
Subject Categories : Statistics and Probability
Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE