Deviation and Moment Inequalities for Banach-Valued U-statistics

Davide Giraudo ()
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Davide Giraudo: Université de Strasbourg and CNRS

Journal of Theoretical Probability, 2025, vol. 38, issue 2, 1-48

Abstract: Abstract We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We then provide applications to rates in the law of large numbers for U-statistics, a Hölderian functional central limit theorem and a moment inequality for incomplete U-statistics.

Keywords: U-statistics; Martingales; Banach space (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01410-3

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