A Bayesian Method for Testing TTBT Compliance with Unknown Intercept and Slope

Abstract

In this report we examine the Bayesian method for testing for compliance to a given threshold studies by Nicholson, Mensing and Gray. It is noted that although this test and accompanying confidence intervals are valid for single event, it is incorrect to apply it or the confidence intervals to repeated events at the same site unless the number of calibration events is large. Since in any foreseeable future the number of calibration events is likely to be small, this report studies the applicability of the Bayesian test in this case. The results suggest that in many instances the Bayesian method examined here should be used on repeated events with caution if the number of calibration events is less than three.

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Document Details

Document Type
Technical Report
Publication Date
Sep 19, 1992
Accession Number
ADA360854

Entities

People

  • Gary D. Mccartor
  • Henry L. Gray
  • Jangsun Baek
  • Wayne A. Woodward

Organizations

  • Southern Methodist University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Bayesian Networks
  • Calibration
  • Computational Science
  • Data Science
  • Data Sets
  • False Alarms
  • Information Science
  • New York
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Simulations
  • Statistical Analysis
  • Statistical Inference
  • Warning Systems

Readers

  • Regression Analysis.
  • Seismology
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference