Asymptotic Expansions for the Distributions of Canonical $V$-Statistics of Third Order

DOI10.1137/S0040585X97T987442zbMath1384.62050MaRDI QIDQ2790677

I. S. Borisov, N. V. Volodko

Publication date: 8 March 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionmultiple orthogonal seriescanonical \(U\)- and \(V\)-statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05)

Related Items (max. 100)

Small deviations of the determinants of random matrices with Gaussian entries ⋮ An exponential inequality for U-statistics under mixing conditions ⋮ Exponential Inequalities for the Distribution Tails of Multiple Stochastic Integrals with Respect to Gaussian Integrating Processes

Cites Work

• On the rate of convergence in the central limit theorem in Banach spaces
• Asymptotic distribution of symmetric statistics
• Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics
• Small deviations of the determinants of random matrices with Gaussian entries
• On the Accuracy of Normal Approximation on Sets Defined by a Smooth Function. I
• Multivariate Statistics
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