%0 Journal Article
%T Precise Asymptotics in the Law of Logarithm for U-statistics<br>U-统计量对数律的精确渐近性
%A ZHOU Hui
%A LIN Zheng-Yan
%A <br>周慧
%A 林正炎
%J 数学物理学报(A辑)
%D 2012
%I 
%X Let {Xn; n ≥1} be a sequence of i.i.d. random variables, and Un be a U-statistic based on the symmetric kernel function h(x, y). Set Un =2/n(n-1) ∑1≤i<j≤n h(Xi, Xj), h1(x) =Eh(x, X2). Under someproperconditions, the exactmomentconvergenceratesof ∑n=2 ∞(logn)δ-1EUn2I {I U n |≥n 1/2√lognε} and ∑n=3∞(loglognε)δ-1/logn EUn2 I {|U n |≥n1/2 √log lognε } are showed.
%K U-statisticszz
%K Law of the iterated logarithmzz
%K Precise asymptoticszz
%K Complete mo-ment convergencezz<br>U-统计量
%K 对数律
%K 重对数律
%K 精确渐近性
%K 矩完全收敛性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F081538EC44D9DC0F6&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=2001E0D53B7B80EC&eid=318E4CC20AED4940&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0