ON THE DISTRIBUTION THEORY FOR SOME CONSTRAINED LIFE TESTING EXPERIMENTS.

Abstract

Various aspects of reliability test programs when the number of items to be tested equals or exceeds the number of test chambers available for testing and when the underlying failure distribution is exponential are studied. Specifically, two bivariate processes are formed and characterized; (i) the time until the rth failure and the accumulated test time of the first r failures and (ii) the number of failures in the time interval (O, T) and the total test time accumulated in (O, T). These are treated in the two cases; replacement and nonreplacement. Relations which exist between contractual specifications for reliability demonstration and the underlying distributions of the test program are discussed. Maximum likelihood estimators are developed for the distributions when necessary. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0706062

Entities

People

  • Stuart Lowe Tenney

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Data Science
  • Demonstrations
  • Distribution Theory
  • Estimators
  • Information Science
  • Intervals
  • Mathematics
  • Reliability
  • Specifications
  • Statistical Algorithms
  • Statistical Analysis
  • Time Intervals

Fields of Study

  • Engineering

Readers

  • Statistical inference.
  • Technical Research and Report Writing.