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

Abstract

The paper treats the general theory of optimal confidence limits for systems reliability introduced by Buehler. The general statements are specialized to the case of series systems. It is noted that many results previously given are false. In particular, counterexamples for results of Sudakov, Winterbottom and Harris and Soms are given. Numerical examples are provided, which suggest that despite the deficiencies of these results, they are nevertheless valid for those significance levels likely to be used in practice.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1983
Accession Number
ADA128218

Entities

People

  • Andrew P. Soms
  • Bernard Harris

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

DTIC Thesaurus Topics

  • Binomials
  • Confidence Limits
  • Data Science
  • Estimators
  • Experimental Data
  • Hypotheses
  • Inequalities
  • Information Science
  • Materials
  • Military Research
  • Probability
  • Random Variables
  • Reliability
  • Statistical Estimation
  • Statistics
  • United States

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.