A Berry–Esseen Bound for U-Statistics in the Non-I.I.D. Case

I. B. Alberink ()
Additional contact information
I. B. Alberink: University of Nijmegen

Journal of Theoretical Probability, 2000, vol. 13, issue 2, 519-533

Abstract: Abstract Let X 1,..., X n be independent, not necessarily identically distributed random variables. An optimal Berry–Esseen bound is derived for U-statistics of order 2, that is, statistics of the form T=∑1≤i

Keywords: U-statistics; Berry–Esseen bound; non-i.i.d. sampling; rate of convergence; Wilcoxon's rank-sum test (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1023/A:1007889323347 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:13:y:2000:i:2:d:10.1023_a:1007889323347

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1023/A:1007889323347

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().