
Accession Number : AD0699809
Title : CONFIDENCE INTERVAL ESTIMATION OF THE RELIABILITY OF MULTICOMPONENT SYSTEMS USING COMPONENT TEST DATA.
Descriptive Note : Technical rept.,
Corporate Author : ABERDEEN RESEARCH AND DEVELOPMENT CENTER ABERDEEN PROVING GROUND MD
Personal Author(s) : Johnson,Jerome R.
Report Date : NOV 1969
Pagination or Media Count : 231
Abstract : A method is developed for the construction of confidence intervals for a general class of functions of binomial parameters called system reliability functions. These system reliability functions express the reliability of a multicomponent system as a function of the reliabilities of the components of the system. The method derived uses the exact multivariate binomial distribution of component test data. The problem is formulated as a general mathematical programming problem and numerical methods are developed for the solution of the problem. The method is applied to several specific systems and detailed computational procedures are developed for each. The method derived is compared with other currently available methods for constructing confidence intervals for system reliability based on component test data and the results of this comparison indicates the possibility of obtaining and appreciable reduction in the average length of confidence intervals for a given sample size and confidence coefficient by the use of the method of this report. The use of these confidence intervals for the construction of statistical tests of hypotheses concerning system reliability is also discussed. (Author)
Descriptors : (*RELIABILITY, STATISTICAL FUNCTIONS), MATHEMATICAL PROGRAMMING, NUMERICAL ANALYSIS, SAMPLING, STATISTICAL TESTS, THESES
Subject Categories : Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE