Accession Number : AD0772775
Title : Choice of Model for Reliability Studies and Related Topics. II.
Descriptive Note : Final rept. 1 Jan-31 Dec 72,
Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF STATISTICS
Personal Author(s) : Antle,Charles E. ; Klimko,Lawrence A.
Report Date : OCT 1973
Pagination or Media Count : 67
Abstract : Some questions concerning the uniqueness of the maximum likelihood estimates for the parameters in the Weibull distribution are considered. In some cases answers previously known are reviewed and in other cases new results are presented. In particular, it is shown that with the shape parameter known, the maximum likelihood estimates of the location and scale parameters exist and are unique. Also the case in which all three parameters are unknown is examined in detail. An evaluation of the test for exponential vs. Weibull distributions based upon the maximum likelihood estimate of the shape parameter is presented. It is shown that this test is nearly as powerful as any invariant test could be. The same problem is also considered when there is an unknown location parameter. Tables for obtaining lower confidence limits for the reliability when using a location and scale parameter exponential for a model are presented. (Modified author abstract)
Descriptors : *Reliability, *Sampling, *Estimates, Probability density functions, Analysis of variance, Statistical tests, Confidence limits, Tables(Data)
Subject Categories : Statistics and Probability
Mfg & Industrial Eng & Control of Product Sys
Distribution Statement : APPROVED FOR PUBLIC RELEASE