Expansions for U-statistics and von Mises functionals

DOI10.1007/BF01055948zbMath0605.62009MaRDI QIDQ1083782

Yuri V. Borovskikh, Vladimir S. Korolyuk

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

characteristic functionconvergence ratemoment conditionsvon Mises functionalsnormalized sumCramer's condition (C)integral representation for the momentsnon- degenerate U-statisticone-term Edgeworth expansionseparable real Hilbert spacevon Bahr's method

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (2)

On Edgeworth expansions for dependency-neighborhoods chain structures and Stein's method ⋮ Some asymptotic results for a broad class of nonparametric statistics

Cites Work

• Unnamed Item
• Unnamed Item
• On the order of magnitude of cumulants of von Mises functionals and related statistics
• An Edgeworth expansion for U-statistics
• On Edgeworth expansions in Banach spaces
• Note on conditions for weak convergence of von Mises' differentiable statistical functions
• Asymptotic expansions for bivariate von Mises functionals
• On the Convergence of Moments in the Central Limit Theorem
• A Class of Statistics with Asymptotically Normal Distribution

This page was built for publication: Expansions for U-statistics and von Mises functionals