Bayesian Reliability Demonstration. Phase 1. Data for the A Priori Distribution

Abstract

The purpose of the study was to fit one or more prior distributions to theta = MTBF = Mean Time Between Failure. In particular, the objectives were three: (a) establish criteria for data that would be suitable for fitting prior distributions to theta = MTBF; (b) develop methods of fitting and fit one or more prior distributions; and (c) perform robustness analysis of fitted prior distributions. It was discovered that if the number of identical equipments and number of failures observed per equipment are relatively small, special methods of fitting are required. For the data used in this study, the inverted gamma distribution turned out to be a good prior fit.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0866166

Entities

People

  • John Collins
  • M. L. Luden
  • Nozer Singpurwalla
  • Ray E. Schafer
  • Tom Sheffield

Organizations

  • Hughes Aircraft Company

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Sensors
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Bayes Theorem
  • Computational Science
  • Computer Programs
  • Computers
  • Data Analysis
  • Data Centers
  • Data Science
  • Engineering
  • Information Science
  • Probability
  • Probability Distributions
  • Quality Control
  • Statistical Samples
  • Statistics
  • Test And Evaluation

Readers

  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference