Exact Lower Confidence Limits for the Reliability of k of n Systems for Zero Failures and Nonconservativeness of the Maximus Method

Abstract

The Buehler (1957) optimal 1-alpha lower confidence limits on the reliability of k of n systems of independent components is derived for the case of zero failures and equal sample sizes. The limiting form of the lower confidence limit is obtained for n-1 of n systems as n goes to infinity. This result is used to show the nonconservativeness of the Maximus method given by Spencer and Easterling (1986). Keywords: Parallel system, Series system.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA194299

Entities

People

  • Andrew P. Soms

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Binomials
  • Computing-Related Activities
  • Confidence Limits
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • New York
  • Order Statistics
  • Probability
  • Quality Control
  • Random Variables
  • Reliability
  • Statistics
  • Universities
  • Wisconsin

Fields of Study

  • Engineering

Readers

  • Computational Fluid Dynamics (CFD)
  • Inertial Navigation Systems.
  • Statistical inference.