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

O. Yanushkevichiene; R. Yanushkevichius; V. Geseviciene

doi:10.1007/s10958-016-2764-7

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

Authors: Yanushkevichiene O.¹, Yanushkevichius R.², Geseviciene V.²
Affiliations:
1. VU Institute of Mathematics and Informatics
2. Lithuanian University of Educational Sciences
Issue: Vol 214, No 1 (2016)
Pages: 139-146
Section: Article
URL: https://journal-vniispk.ru/1072-3374/article/view/237344
DOI: https://doi.org/10.1007/s10958-016-2764-7
ID: 237344

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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.