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Large deviations of Chernoff type for \(U\)- and \(V\)-statistics. - MaRDI portal

Large deviations of Chernoff type for \(U\)- and \(V\)-statistics. (Q1432104)

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scientific article; zbMATH DE number 2074431
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Large deviations of Chernoff type for \(U\)- and \(V\)-statistics.
scientific article; zbMATH DE number 2074431

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    Large deviations of Chernoff type for \(U\)- and \(V\)-statistics. (English)
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    15 June 2004
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    This paper provides the first general results on Chernoff type large deviations for \(U\)-statistics and \(V\)-statistics for both the non-degenerate and weakly degenerate cases. The non-degenerate result for \(U\)-statistics corrects a related result by \textit{R. Dasgupta} [Sankhyā, Ser. A 46, 110-116 (1984; Zbl 0565.60023)].
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    U-statistics
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    V-statistics
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    Chernoff large deviations
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