Open Access
Translator Disclaimer
1998 The Law of Large Numbers for $U$-statistics Under Absolute Regularity
Miguel Arcones
Author Affiliations +
Electron. Commun. Probab. 3: 13-19 (1998). DOI: 10.1214/ECP.v3-988

Abstract

We prove the law of large numbers for $U$-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($\beta$-mixing condition) under suboptimal conditions.

Citation

Download Citation

Miguel Arcones. "The Law of Large Numbers for $U$-statistics Under Absolute Regularity." Electron. Commun. Probab. 3 13 - 19, 1998. https://doi.org/10.1214/ECP.v3-988

Information

Accepted: 4 March 1998; Published: 1998
First available in Project Euclid: 2 March 2016

zbMATH: 0901.60015
MathSciNet: MR1624866
Digital Object Identifier: 10.1214/ECP.v3-988

Subjects:
Primary: 60B12
Secondary: 60F15

Keywords: absolute regularity , Law of the large numbers , U-statistics

JOURNAL ARTICLE
7 PAGES


SHARE
Back to Top