Two-Term Edgeworth Expansions for the Classes of U- and V-statistics

DOI10.1080/03610926.2012.736583zbMath1307.62039OpenAlexW2020410105MaRDI QIDQ5177576

Fadlalla G. Elfadaly, Sanaa M. Elgayar

Publication date: 13 March 2015

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.736583

zbMATH Keywords

decompositionEdgeworth expansion\(U\)-statisticHoeffding\(V\)-statisticvan Mises polynomial functional

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Edgeworth expansion for \(U\)-statistics under minimal conditions.
• The Edgeworth expansion for U-statistics of degree two
• A condition for the equivalence of coupling and shift coupling.
• Shortening the distance between Edgeworth and Berry-Esseen in the classical case
• Approximation Theorems of Mathematical Statistics
• Edgeworth Expansions of Some Statistics Including the LB-statistic and V-statistic
• A Class of Statistics with Asymptotically Normal Distribution

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