Nonparametric multivariate \(L_{1}\)-median regression estimation with functional covariates

DOI10.1214/13-EJS812zbMath1327.62198arXiv1304.4300OpenAlexW2963592193MaRDI QIDQ1954141

Mohamed Chaouch, Naâmane Laïb

Publication date: 20 June 2013

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

Full work available at URL: https://arxiv.org/abs/1304.4300

zbMATH Keywords

kernel estimationalmost sure convergencefunctional dataconfidence ellipsoidmultivariate conditional \(L_{1}\)-medianmultivariate conditional distributionsmall balls probability

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Ergodicity, mixing, rates of mixing (37A25) Time series analysis of dynamical systems (37M10)

Related Items (7)

Checking the adequacy of functional linear quantile regression model ⋮ Extreme geometric quantiles in a multivariate regular variation framework ⋮ Nonparametric depth and quantile regression for functional data ⋮ Convergence rates for kernel regression in infinite-dimensional spaces ⋮ Nonparametric regression method with functional covariates and multivariate response ⋮ On the Behavior of Extreme d-dimensional Spatial Quantiles Under Minimal Assumptions ⋮ Vector-on-function quantile regression for stationary ergodic processes

Uses Software

• fda (R)

Cites Work

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• Nonparametric kernel regression estimation for functional stationary ergodic data: Asymptotic properties
• Analysis of time of occurrence of earthquakes: A functional data approach
• Rates of strong consistencies of the regression function estimator for functional stationary ergodic data
• A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional characters
• Bandwidth selection for functional time series prediction
• A generalized \(L^1\)-approach for a kernel estimator of conditional quantile with functional regressors: consistency and asymptotic normality
• Note on the spatial quantile of a random vector
• Multivariate location estimation using extension of \(R\)-estimates through \(U\)-statistics type approach
• \(M\)-estimation, convexity and quantiles
• Nonparametric prediction by conditional median and quantiles
• Linear processes in function spaces. Theory and applications
• Nonparametric statistics for stochastic processes
• On the \(u\)\,th geometric conditional quantile
• Functional data analysis.
• Nonparametric regression estimation for dependent functional data: asymptotic normality
• Nonparametric functional data analysis. Theory and practice.
• Nonparametric regression for functional data: automatic smoothing parameter selection
• Autoregressive Forecasting of Some Functional Climatic Variations
• On a Geometric Notion of Quantiles for Multivariate Data
• Nonparametric Quantile Regression Estimation for Functional Dependent Data
• Asymptotic Results of a Nonparametric Conditional Quantile Estimator for Functional Time Series
• Nonparametric Estimation of the Mode of A Distribution of Random Curves
• Inference for Density Families Using Functional Principal Component Analysis
• On Adaptive Transformation–Retransformation Estimate of Conditional Spatial Median
• Quantile functions for multivariate analysis: approaches and applications
• The multivariate L ₁ -median and associated data depth
• Convergent estimators for the l₁-median of banach valued random variable
• A Multivariate Quantile Predictor
• Asymptotic Distribution of Robust Estimator for Functional Nonparametric Models
• NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS
• ON THE ABSOLUTE CONTINUITY OF MEASURES CORRESPONDING TO PROCESSES OF DIFFUSION TYPE RELATIVE TO A WIENER MEASURE
• Quantile regression when the covariates are functions
• Note on the median of a multivariate distribution

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