Optimal Outlier Tests for a Weibull Model - To Identify Process Changes or to Predict Failure Times

Abstract

Weibull outlier tests based on three different statistics are investigated with respect to their power optimality under various alternative models. Two of thes statistics are new in the context of outlier statistics; and one of these is shown to provide a more powerful test in certain situations than other more classical outlier test statistics. Critical values of the three statistics were computer-generated and are tabulated. The tabulated values allow one to identify 'treatment effects' resulting from unsuspected modifications to a process or to predict failure times in a life test. Numerical examples are given.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA100994

Entities

People

  • Nancy R. Mann

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Science
  • Data Analysis
  • Data Mining
  • Data Science
  • Estimators
  • Goodness Of Fit Tests
  • Information Science
  • Life Tests
  • Military Research
  • Network Science
  • Optimal Estimators
  • Order Statistics
  • Probability
  • Statistical Analysis
  • Statistics
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design