Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations

Details Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations

2009-06-30

arxiv.org/abs/0906.5465v1

Mathematics

Probability

Scientific paper

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.

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