Weibull Accelerated Life Tests When There Are Competing Causes of Failure.

Abstract

Accelerated life testing of a product under more severe than normal conditions is commonly used to reduce test time and costs. Data collected at such accelerated conditions are used to obtain estimates of the parameters of a stress translation function. This function is then used to make inference about the product's life under normal operating conditions. We consider the problem of accelerated life tests when the product of interest is a p component series system. Each of the components is assumed to have an independent Weibull time to failure distribution with different shape parameters and different scale parameters which are increasing functions of the stress. A general model is used for the scale parameter which includes the standard engineering models as special cases. This model also has an appealing biological interpretation. Maximum likelihood estimators of the component parameters are obtained for type I, type II, and progressive censoring. These estimators are used to obtain estimators of the probability of component and system survival under normal operating conditions. This method is illustrated by an example. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA102561

Entities

People

  • Asit P. Basu
  • John P. Klein

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Corporations
  • Covariance
  • Data Science
  • Electrical Insulation
  • Engineering
  • Equations
  • Estimators
  • Failure Mode And Effect Analysis
  • Information Science
  • Life Tests
  • Probability
  • Regression Analysis
  • Reliability
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Survival

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference