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https://doi.org/10.1007/s10986-005-0036-1
| 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 U-statistics |
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 [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 | 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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