Rank-dependent moderate deviations of \(U\)-empirical measures in strong topologies

DOI10.1007/s00440-003-0254-6zbMath1039.60023OpenAlexW2011698904MaRDI QIDQ1400836

Uwe Schmock, Peter Eichelsbacher

Publication date: 14 August 2003

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-003-0254-6

zbMATH Keywords

moderate deviations\(U\)-statisticsstrong topologyempirical measures

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Large deviations (60F10) Measures and integrals in product spaces (28A35)

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Moderate deviations for degenerate \(U\)-processes. ⋮ Moderate deviations via cumulants ⋮ Concentration inequality for U-statistics of order two for uniformly ergodic Markov chains ⋮ Data depth for measurable noisy random functions ⋮ MDP for integral functionals of fast and slow processes with averaging ⋮ Moderate Deviations for I.I.D. Random Variables ⋮ Moderate deviations for some point measures in geometric probability ⋮ The best constants in the multiple Khintchine inequality

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