Statistics Papers

Document Type

Journal Article

Date of this Version

1980

Publication Source

The Annals of Probability

Volume

8

Issue

6

Start Page

1079

Last Page

1084

DOI

10.1214/aop/1176994569

Abstract

Given a process {X1}, any permutation δ : [1, n] → [1, n] determines an order statistical event A(δ) are needed to form a union whose probability exceeds 1 - ε? This question is answered in the case of stationary ergodic processes with finite entropy.

Copyright/Permission Statement

The original and published work is available at: https://projecteuclid.org/euclid.aop/1176994569#abstract

Comments

At the time of publication, author J. Michael Steele was affiliated with Stanford University. Currently, he is a faculty member at the Statistics Department at the University of Pennsylvania.

Keywords

order statistics, entropy, stationary processes, de Bruijn sequences, directed graphs, equipartition property

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Date Posted: 27 November 2017

This document has been peer reviewed.