Accession Number:

AD0645545

Title:

ASYMPTOTICALLY OPTIMAL STATISTICS IN SOME MODELS WITH INCREASING FAILURE RATE AVERAGES

Descriptive Note:

Research rept.

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

• Doksum, Kjell

Report Date:

1966-11-01

Pagination or Media Count:

19.0

Abstract:

Let F and G be defined by Ft Hgamma t and Gt Htheta t where H is unknown and HO O. For testing the equality of the means of F and G in the two-sample problem it is shown that the Savage The Annals of Mathematical Statistics 1956 pp 590-615 statistic maximizes the minimum power over increasing failure rate distributions asymptotically. Asymptotic uniqueness holds only in a class of rank tests. The results are extended to censored samples, the problem of estimating the ratio of the means, and the k-sample problem.

Descriptors:

• *DECISION THEORY
• *OPTIMIZATION
• *RELIABILITY
• ASYMPTOTIC SERIES
• MODEL THEORY
• STATISTICAL DISTRIBUTIONS
• STATISTICAL TESTS

Subject Categories:

• Operations Research
• Printing and Graphic Arts

Distribution Statement:

APPROVED FOR PUBLIC RELEASE