The Theory of Optimal Confidence Limits for Systems Reliability with Counterexamples for Results on Optimal Confidence Limits for Series Systems.

Abstract

This paper gives the general theory of optimal confidence limits for systems reliability introduced by Buehler (1957). This is specialized to series systems. It is noted that some results previously given are false. In particular, counter-example for results of Sudakov (1974), Winterbottom (1974) and Harris and Soms (1980, 1981) are given. Numerical examples are provided, which suggest that despite the theoretical problems of the results, they are nevertheless valid for significance levels likely to be used in practice. Originator supplied keywords include: Optimal confidence bounds.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA147236

Entities

People

  • A. P. Soms
  • B. Harris

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Binomials
  • Classification
  • Confidence Limits
  • Contracts
  • Data Science
  • Engineering
  • Information Science
  • Mathematics
  • Military Research
  • Probability
  • Random Variables
  • Reliability
  • Statistical Analysis
  • Statistics
  • United States
  • Universities
  • Wisconsin

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.