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|Title:||A note on edgeworth expansions for U-statistics under minimal conditions||Authors:||Jing, B.-Y.
|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. https://doi.org/10.1007/s10986-005-0036-1||Abstract:||A one-term Edgeworth expansion for U-statistics with kernel h(x, y) was derived by Jing and Wang  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||URI:||http://scholarbank.nus.edu.sg/handle/10635/104954||ISSN:||03631672||DOI:||10.1007/s10986-005-0036-1|
|Appears in Collections:||Staff Publications|
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