On Bounds for Some U-Statistics Under the Two-Eigenvalues Assumption


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Abstract

We present the estimation of the convergence rate for the distribution of second-order U-statistic associated with Hilbert–Schmidt operator. We obtain this estimation under two eigenvalues assumption.

About the authors

O. Yanushkevichiene

VU Institute of Mathematics and Informatics

Author for correspondence.
Email: olgjan@zebra.lt
Lithuania, Vilnius

R. Yanushkevichius

Lithuanian University of Educational Sciences

Email: olgjan@zebra.lt
Lithuania, Vilnius

V. Geseviciene

Lithuanian University of Educational Sciences

Email: olgjan@zebra.lt
Lithuania, Vilnius


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