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On sharp Burkholder-Rosenthal-type inequalities for infinite-degree \(U\)-statistics - MaRDI portal

On sharp Burkholder-Rosenthal-type inequalities for infinite-degree \(U\)-statistics (Q1863431)

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scientific article; zbMATH DE number 1879944
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On sharp Burkholder-Rosenthal-type inequalities for infinite-degree \(U\)-statistics
scientific article; zbMATH DE number 1879944

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    On sharp Burkholder-Rosenthal-type inequalities for infinite-degree \(U\)-statistics (English)
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    11 March 2003
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    This paper provides a method for obtaining a number of sharp inequalities for expectations of functions of infinite degree \(U\)-statistics. As applications of the technique the authors determine the best constants in Burkholder-Rosenthal type inequalities for sums of \(U\)-statistics and prove new decoupling inequalities for sums of \(U\)-statistics.
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    infinite degree U-statistics
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    decoupling inequalities
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    Burkholder-Rosenthal inequalities
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