Translator Disclaimer
June, 1977 Limit Properties of Random Variables Associated with a Partial Ordering of $R^d$
J. Michael Steele
Ann. Probab. 5(3): 395-403 (June, 1977). DOI: 10.1214/aop/1176995800

Abstract

A limit theorem is established for the length of the longest chain of random values in $R^d$ with respect to a partial ordering. The result is applied to a question raised by T. Robertson and F. T. Wright concerning the generalized empirical distribution function associated with the class of lower layers.

Citation

Download Citation

J. Michael Steele. "Limit Properties of Random Variables Associated with a Partial Ordering of $R^d$." Ann. Probab. 5 (3) 395 - 403, June, 1977. https://doi.org/10.1214/aop/1176995800

Information

Published: June, 1977
First available in Project Euclid: 19 April 2007

zbMATH: 0381.60010
MathSciNet: MR438421
Digital Object Identifier: 10.1214/aop/1176995800

Subjects:
Primary: 60C05
Secondary: 60F15, 60K99

Rights: Copyright © 1977 Institute of Mathematical Statistics

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.5 • No. 3 • June, 1977
Back to Top