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24 April 2024

» arxiv » 0906.5465

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Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations
I.S.Borisov ; N.Volodko ;
Date:	30 Jun 2009
Abstract:	The limit behavior is studied for the distributions of normalized U- and V-statistics of an arbitrary order with canonical (degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying classical mixing conditions. The corresponding limit distributions are represented as infinite multilinear forms of a centered Gaussian sequence with a known covariance matrix.
Source:	arXiv, 0906.5465
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