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Edgeworth expansion for U-statistics under minimal conditions

Authors Jing, Bing Yi
Wang, QY
Issue Date 2003
Source Annals of statistics, v. 31, (4), 2003, AUG, p. 1376-1391
Summary Berry-Esseen bounds for U-statistics under the optimal moment conditions were derived by Koroljuk and Borovskich and Friedrich. Under the same optimal moment assumptions with an additional nonlattice condition, we establish a one-term Edgeworth expansion with remainder o(n(-1/2)) for U-statistics.
ISSN 0090-5364
Rights Published in Annals of Statistics ( by the Institute of Mathematical Statistics.
Language English
Format Article
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