APPROXIMATE CONFIDENCE LIMITS FOR THE RELIABILITY OF SERIES AND PARALLEL SYSTEMS,

Abstract

A complex mechanism, e. g., a missile, can be built up from a number of different types of components, where the reliability of each of the components has been estimated by means of separate tests on each of the components. This Memorandum gives a method for combining such data to determine approximate confidence limits for the reliability of the complete mechanism. More precisely, a method of determining approximate confidence limits for the reliability of series, parallel, and series-parallel systems is given, based on observed failures of the individual components. It is assumed that the failures are independent, and that failures of a given component follow a binomial distribution with unknown parameter, the component reliability. The large-sample properties of the likelihood-ratio test are then used to construct the appropriate confidence limits for the system reliability. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0609429

Entities

People

  • Albert Madansky

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Binomials
  • Confidence Limits
  • Data Science
  • Information Science
  • Mathematics
  • Reliability

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.