Article ID Journal Published Year Pages File Type
1708128 Applied Mathematics Letters 2012 8 Pages PDF
Abstract

Let UnUn be UU-statistics based on a symmetric kernel h(x,y)h(x,y) and i.i.d. samples {Xn;n≥1}{Xn;n≥1}. In this paper, under some suitable conditions, we show that a general law for the moment convergence of UU-statistics holds. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in the study of precise asymptotics for complete moment convergence.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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