Accession Number:

AD0627305

Title:

ON CONFIDENCE LIMITS FOR THE RELIABILITY OF SYSTEMS,

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s):

Report Date:

1965-11-01

Pagination or Media Count:

40.0

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

Subject Categories:

  • Statistics and Probability
  • Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE