A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics

Authors
Wellner, Jon A.
Citation
A. Wellner, Jon, A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics, Annals of statistics , 5(3), 1977, pp. 473-480
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
5
Issue
3
Year of publication
1977
Pages
473 - 480
Database
ACNP
SICI code
Abstract
A strengthened version of the Glivenko-Cantelli theorem for the uniform empirical distribution function is proved. The strengthened Glivenko-Cantelli theorem is used to establish strong laws of large numbers for linear functions of order statistics.