Article ID Journal Published Year Pages File Type
1154071 Statistics & Probability Letters 2009 8 Pages PDF
Abstract

This paper investigates weak convergence of UU-statistics via approximation in probability. The classical condition that the second moment of the kernel of the underlying UU-statistic exists is relaxed to having 43 moments only (modulo a logarithmic term). Furthermore, the conditional expectation of the kernel is only assumed to be in the domain of attraction of the normal law (instead of the classical two-moment condition).

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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