A Statistical Analysis of Some Models Used in Accelerated Life Tests.

Abstract

This paper considers the problem of inference for the parameters of three mdoels used in accelerated life tests. The first part obtains orthogonal least squares estimators for the parameters of the models. The second part considers a Bayesian analysis of the two parameters of the power rule model. The absolutely continuous bivariate exponential (ACBVE) distribution is assigned as a joint prior on the power rule parameters. The analysis proceeds along the lines dictated by Box and Tiao in their book, Bayesian Inference in Statistical Analysis. Thus, location parameters are introduced in the ACBVE so that the prior is shifted to a position where the likelihood is appreciable. For computational convenience, the joint prior is discretized over regions of the parameter space where the likelihood is appreciable. This approach allows some generality in the choice of joint priors. Using the approach, conclusions are reached pertaining to the robustness of the inferences with respect to assumptions about the Weibull shape parameter. (Author

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Document Details

Document Type
Technical Report
Publication Date
May 08, 1977
Accession Number
ADA041001

Entities

People

  • Henry D. Kahn

Organizations

  • George Washington University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Bayesian Inference
  • Bayesian Networks
  • Computational Science
  • Computer Programming
  • Data Science
  • Engineering
  • Estimators
  • Failure Mode And Effect Analysis
  • Information Science
  • Libraries
  • Life Tests
  • Normal Distribution
  • Probability
  • Random Variables
  • Statistical Analysis
  • Universities

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  • Mathematics

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  • Approximation Theory.
  • Neural Network Machine Learning.
  • Systems Analysis and Design

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  • AI & ML
  • AI & ML - Bayesian Inference
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