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 Chi-square distribution of the log-likelihood 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 non-performance 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 (AD-609 429) for series, parallel and series-parallel 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