Accession Number : AD0665522

Title :   DISTRIBUTIONS OF RENYI AND KAC TYPE STATISTICS: POWER OF CORRESPONDING TESTS BASED ON SUZUKI-TYPE ALTERNATIVES.

Descriptive Note : Technical rept.,

Corporate Author : WASHINGTON UNIV SEATTLE LAB OF STATISTICAL RESEARCH

Personal Author(s) : Lientz,Bennet P.

Report Date : 01 FEB 1968

Pagination or Media Count : 36

Abstract : The purpose of the paper develops the exact distributions of some Renyi-type statistics and shows how theorems on order statistics developed in a previous technical report can be used to obtain the exact distributions of the corresponding Kac-type statistics. Limit theorems for both Renyi and Kac statistics are given. Expressions for the power of tests against a particular class of alternatives for the Renyi-type statistics will be presented.

Descriptors :   (*STATISTICAL ANALYSIS, THEORY), SAMPLING, RANDOM VARIABLES, DISTRIBUTION FUNCTIONS, MEASURE THEORY, CONVERGENCE, PROBABILITY, STATISTICAL PROCESSES, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE