Accession Number : AD0678786

Title :   EXACT EXISTENCE OF EVERY POSSIBLE DISTRIBUTION FOR ANY SAMPLE ORDER STATISTIC.

Descriptive Note : Themis Signal Analysis Statistics Research Program,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Walsh,John E.

Report Date : 09 SEP 1968

Pagination or Media Count : 6

Abstract : Given are any stated value for sample size and an arbitrary but specified univariate distribution. Let an arbitrary but specified order statistic for a univariate random sample of this size be considered. It is shown that a statistical population always exists, for yielding the sample, such that the distribution of the order statistic is exactly the specified distribution. Some asymptotic implications of these results are outlined. (Author)

Descriptors :   (*SAMPLING, *DISTRIBUTION THEORY), STATISTICAL DISTRIBUTIONS, POPULATION(MATHEMATICS), RANDOM VARIABLES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE