Sequential Testing of Hypotheses Concerning the Reliability of a System Modeled by a Two-Parameter Weibull Distribution.

Abstract

Monte Carlo Analysis techniques are used for the development of test plans concerning hypothesized system reliabilities. Systems under consideration are those in which component failure rates are best described by the two-parameter Weibull probability density function. The statistical test employed is Wald's sequential probability radio test using independent, asymptotically computed variances (Cramer-Rao Lower Bound Technique). The null hypothesis, HO: HO: RO =.90, is tested against alternative reliabilities of .854, .810, and .729. Three pairs of alpha and beta risk levels are considered for each test ((.1,.1), (.2,2), (.1,.2). A truncation decision for the sequential test is made at 1.5 times the fixed sample test size for the same conditions. One thousand Monte Carlo repetitions are used for these test procedures. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA115542

Entities

People

  • Philippe A. Lussier

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Data Science
  • Hypotheses
  • Information Science
  • Mathematics
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Reliability
  • Statistical Algorithms
  • Statistical Tests
  • Statistics
  • Truncation
  • Weibull Density Functions

Readers

  • Aerospace Test and Evaluation
  • Statistical inference.