Optimal rates of convergence of second-degree polynomials in several metrics

DOI10.1007/S10958-006-0314-4zbMath1119.60017OpenAlexW1990828901MaRDI QIDQ876855

O. L. Yanushkyavichene

Publication date: 19 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0314-4

zbMATH Keywords

rates of convergenceKolmogorov distancepolynomialdegenerate U-statisticsLévy distance

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

Related Items (1)

On bounds for some U-statistics under the two-eigenvalues assumption

Cites Work

• On the rate of convergence of second-degree random polynomials
• On the dependence of the Berry-Esseen bound on dimension
• Modern Theory of Summation of Random Variables

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