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Title: A note on edgeworth expansions for U-statistics under minimal conditions
Authors: Jing, B.-Y.
Zhou, W. 
Keywords: Edgeworth expansions
Nonlattice condition
Optimal moments
Issue Date: Jul-2005
Citation: Jing, B.-Y.,Zhou, W. (2005-07). A note on edgeworth expansions for U-statistics under minimal conditions. Lithuanian Mathematical Journal 45 (3) : 353-358. ScholarBank@NUS Repository.
Abstract: A one-term Edgeworth expansion for U-statistics with kernel h(x, y) was derived by Jing and Wang [3] under optimal moment conditions. In this note, we show that one of the optimal moment conditions E| h(X 1, X 2|5/3 < ∞ can be weakened to lim t→∞ t 5/3 P(|h(X 1, X 2)| > t) → 0. © 2005 Springer Science+Business Media, Inc.
Source Title: Lithuanian Mathematical Journal
ISSN: 03631672
DOI: 10.1007/s10986-005-0036-1
Appears in Collections:Staff Publications

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