Determining Confidence Limits for Reliability in the Presence of a Random Requirement

Abstract

Recently Church and Harris published a procedure for obtaining approximate confidence limits for P(X < or = Y), under the assumptions that X and Y are independent normally distributed random variables. Their technique is illustrated by an application to a problem of determining the conditional probability that the sidewall of a combustible cartridge case, if ignited by smoldering residue after chambering, will be burned through prior to firing an artillery round in an automatic firing cycle. The relationships which are necessary for the application of the Church-Harris procedure to the problem are derived and a strategy for treating data which does not satisfy the underlying assumptions is suggested.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0740653

Entities

People

  • James R. Moore
  • Malcolm S. Taylor

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Cartridge Cases
  • Classification
  • Combustible Cartridge Cases
  • Computer Programs
  • Confidence Limits
  • Control Systems
  • Data Science
  • Distribution Functions
  • Information Science
  • Maryland
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Statistical Analysis
  • Statistical Distributions

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.
  • ballistics.