On the uniform-in-bandwidth consistency of the general conditionalU-statistics based on the copula representation

DOI10.1080/10485252.2021.1937621zbMath1472.62067OpenAlexW3168733445MaRDI QIDQ5012349

Salim Bouzebda, B. Nemouchi, Issam Elhattab

Publication date: 1 September 2021

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485252.2021.1937621

zbMATH Keywords

empirical processconditional \(U\)-statisticsdata-dependent bandwidth selectionuniform-in-bandwidthcopula regression function

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items

Nonparametric recursive method for moment generating function kernel-type estimators, Rates of the strong uniform consistency for the kernel-type regression function estimators with general kernels on manifolds, Nonparametric recursive estimation for multivariate derivative functions by stochastic approximation method, Uniform in bandwidth consistency of conditional \(U\)-statistics adaptive to intrinsic dimension in presence of censored data, On the variable bandwidth kernel estimation of conditional \(U\)-statistics at optimal rates in sup-norm, Renewal type bootstrap for increasing degree \(U\)-process of a Markov chain, Weak-convergence of empirical conditional processes and conditional \(U\)-processes involving functional mixing data, Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data

Uses Software

• QRM

Cites Work

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