Using Bayesian Statistics in Operational Testing.

Abstract

This research explored the applicability of Bayesian methods to the problem of determining the reliability of a series system, a parallel system, and a bridge system. The time to failure of each component in each system is assumed to be exponentially distributed. A basic exponential case and a basic binomial case are also evaluated. In general, using simulated data and real data when possible, the Bayesian methods produced confidence intervals that were much tighter than the classical inference methods, thus allowing a decision maker to have higher confidence in making a decision. System level data and aggregated component level data produced a much tighter confidence interval than component level data aggregated to system.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1998
Accession Number
ADA342127

Entities

People

  • Thuan H. Tran

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Binomials
  • Computer Programs
  • Data Science
  • Information Science
  • Intervals
  • Operations Research
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Reasoning
  • Reliability
  • Statistical Inference
  • Statistics
  • Test And Evaluation
  • United States

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Statistical inference.

Technology Areas

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