A Remark on Convergence in Distribution of U-statistics
نویسنده
چکیده
It is proved that, for h measurable and symmetric in its arguments and Xi i.i.d., if the sequence {n−m2 ∑ i1,...,im≤n ij 6=ik if j 6=k h(Xi1 ,...,Xim )}n=1, is stochastically bounded, then Eh2<∞ and Eh(X1,x2,...,xm)=0 a.s.
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تاریخ انتشار 1994