U-Statistics in Banach Spaces

by Yu. V. Borovskikh

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First published: 1996 1 language ISBN: 9783112307625
Description
U-statistics are universal objects of modern probabilistic summation theory. They appear in various statistical problems and have very important applications. The mathematical nature of this class of random variables has a functional character and, therefore, leads to the investigation of probabilistic distributions in infinite-dimensional spaces. The situation when the kernel of a U-statistic takes values in a Banach space, turns out to be the most natural and interesting.

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