O. L. Yanushkyavichene, R. Yanushkevichius, “About the rate of convergence of one U-statistic”, Inform. Primen., 2012, Volume 6, Issue 3,Pages <nobr>64

Papers to the reports presented at the XXIX International Seminar on Stability Problems for Stochastic Models (Svetlogorsk Kaliningrad region, Russia, 10–16 October 2011)

About the rate of convergence of one U-statistic

O. L. Yanushkyavichene^a, R. Yanushkevichius^b

^a Vilnius University, Institute of Mathematics and Informatics, Lithuania
^b Lithuanian University of Educational Sciences, Vilnius, Lithuania

Abstract: This paper pertains to the analysis of the asymptotic behavior of U-statistics, which are important in the construction and application of modern statistical methods for studying information systems.

Keywords: rates of convergence; Berry–Esseen bound; quadratic form; second-degree U-statistics; Kolmogorov distance.

Language: English