Large deviations of Chernoff type for \(U\)- and \(V\)-statistics.
type: Item
instance of: scholarly article
title: Large deviations of Chernoff type for \(U\)- and \(V\)-statistics.
zbMATH Open document ID: 1041.60027
author: E. V. Ponikarov
author: Yakov Yu. Nikitin
published in: Doklady Mathematics
publication date: 2004-06-15T00:00:00Z
review text: 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)].
reviewed by: Neville Weber
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 2074431
zbMATH Keywords: U-statistics
zbMATH Keywords: V-statistics
zbMATH Keywords: Chernoff large deviations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2074431