Uniform limit theorems for a class of conditional \(Z\)-estimators when covariates are functions

DOI10.1016/j.jmva.2021.104872OpenAlexW3213832650WikidataQ113870430 ScholiaQ113870430MaRDI QIDQ2078532

Mohamed Chaouch, Salim Bouzebda

Publication date: 1 March 2022

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2021.104872

zbMATH Keywords

empirical processesquantile regressioncensored datauniform CLTexpectile regressionconditional \(Z\)-estimatorsergodic functional datauniform-in-bandwidth consistency

Mathematics Subject Classification ID

Density estimation (62G07) Hypothesis testing in multivariate analysis (62H15) Large deviations (60F10) Asymptotic properties of parametric tests (62F05) Multivariate analysis (62Hxx)

Related Items (5)

Rates of the strong uniform consistency for the kernel-type regression function estimators with general kernels on manifolds ⋮ Asymptotic normality of the regression mode in the nonparametric random design model for censored data ⋮ On the variable bandwidth kernel estimation of conditional \(U\)-statistics at optimal rates in sup-norm ⋮ 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

• fda (R)

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