On the rate of convergence and asymptotic expansions for \(U\)-statistics under alternatives

DOI10.1007/BF02673715zbMath0961.62012MaRDI QIDQ1585949

Vladimir Bening

Publication date: 5 June 2001

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

zbMATH Keywords

rate of convergenceasymptotic expansionsEdgeworth expansionsU-statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Parametric hypothesis testing (62F03)

Related Items (2)

Second-order efficient test for inhomogeneous Poisson processes ⋮ On Edgeworth expansions for dependency-neighborhoods chain structures and Stein's method

Cites Work

• Unnamed Item
• An Edgeworth expansion for U-statistics
• On the Berry-Esseen theorem for U-statistics
• The Berry-Esseen theorem for U-statistics
• A method for obtaining asymptotic expansions under alternatives based on the properties of the likelihood ratio
• The Edgeworth expansion for U-statistics of degree two
• Edgeworth expansions in nonparametric statistics
• On the rate of convergence of \(L\)- and \(R\)-statistics under alternatives

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