Accession Number : AD0721346

Title :   Asymptotic Sufficiency of the Vector of Ranks in the Bahadur Sense.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Hajek,Jaroslav

Report Date : MAR 1971

Pagination or Media Count : 19

Abstract : The paper discusses the hypothesis of randomness under which two samples X sub 1, ..., X sub n and Y sub 1, ..., Y sub n have an identical but arbitrary continuous distribution. The vector of ranks (R sub 1, ..., R sub (n+m)) will be shown to be asymptotically sufficient in the Bahadur sense for testing randomness against a general class of two-sample alternatives, simple ones as well as composite ones. In other words, the best exact slope will be attainable by rank statistics, uniformly throughout the alternative. (Author)

Descriptors :   (*SAMPLING, STATISTICAL DISTRIBUTIONS), (*STOCHASTIC PROCESSES, THEOREMS), STATISTICAL TESTS, PROBABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE