
Accession Number : ADA115542
Title : Sequential Testing of Hypotheses Concerning the Reliability of a System Modeled by a TwoParameter Weibull Distribution.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON 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 twoparameter Weibull probability density function. The statistical test employed is Wald's sequential probability radio test using independent, asymptotically computed variances (CramerRao 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
Logistics, Military Facilities and Supplies
Distribution Statement : APPROVED FOR PUBLIC RELEASE