Accession Number : ADA115542

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

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Lussier,Philippe A

PDF Url : ADA115542

Report Date : Dec 1981

Pagination or Media Count : 55

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)

Descriptors :   *Monte Carlo method, *Weibull density functions, *Computerized simulation, *Air Force equipment, Systems analysis, Hypotheses, Maximum likelihood estimation, Test methods, Sampling, Reliability, Parametric analysis, Statistical tests, Failure, Asymptotic series, Test and evaluation, Truncation, Theses

Subject Categories : Statistics and Probability
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Distribution Statement : APPROVED FOR PUBLIC RELEASE