Bayesian Reliability Theory for Repairable Equipment

Abstract

This report introduces an assumption called instantaneous resurrection which holds that a repaired equipment is returned to the state of an equipment of similar age which has not yet failed, rather than to the state of a new equipment. Under this assumption, the number of failures of an equipment in time t is a Poisson process with leading function - log R(t), where R(t) is the reliability function of the equipment. This fact can be used in the estimation of parameters of various prior distributions via the appropriate Poisson mixtures. The case of the two-way truncated Gamma prior and its limiting forms is discussed in the report.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA083009

Entities

People

  • Theodore S. Bolis

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acceptance Tests
  • Data Science
  • Distribution Functions
  • Electrical Engineering
  • Electronic Equipment
  • Engineers
  • Equations
  • Estimators
  • Goodness Of Fit Tests
  • Information Science
  • Method Of Moments
  • Probability
  • Random Variables
  • Reliability
  • Statistics
  • Stochastic Processes
  • Test And Evaluation

Readers

  • Aerospace Test and Evaluation
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms