Accession Number:

AD0680439

Title:

ASYMPTOTIC INDEPENDENCE BETWEEN LARGEST AND SMALLEST OF A SET OF INDEPENDENT OBSERVATIONS

Descriptive Note:

Technical rept.

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TX DEPTOF STATISTICAL SCIENCE

Personal Author(s):

Report Date:

1968-10-04

Pagination or Media Count:

7.0

Abstract:

Let X sub n and X sub l be the largest and smallest order statistics, respectively, of a set of n independent univariate observations. Under rather general conditions, with respect to the distributions of the individual observations, X sub n and X sub l are asymptotically independent. However, asymptotic independence does not occur for all cases.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE