On high-frequency limits of \(U\)-statistics in Besov spaces over compact manifolds

zbMath1392.60006arXiv1607.07981MaRDI QIDQ1746518

Claudio Durastanti, Solesne Bourguin

Publication date: 25 April 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07981

zbMATH Keywords

Besov spaceMalliavin calculusastrostatisticsPoisson random measureswavelet methodshigh-frequency limitStein-Malliavin methodcompact Riemannian manifolds, needletsPoisson based \(U\)-statisticsquantitative bounds

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Random measures (60G57)

Related Items (3)

A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages ⋮ Nonparametric needlet estimation for partial derivatives of a probability density function on the d -torus ⋮ Flexible-bandwidth needlets

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