Adaptive estimation in the functional nonparametric regression model
From MaRDI portal
Publication:268736
DOI10.1016/j.jmva.2015.07.001zbMath1334.62054OpenAlexW1017075119MaRDI QIDQ268736
Publication date: 15 April 2016
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2015.07.001
Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12)
Related Items (22)
An introduction to recent advances in high/infinite dimensional statistics ⋮ Data-driven \(k\)NN estimation in nonparametric functional data analysis ⋮ Lower bounds in estimation at a point under multi-index constraint ⋮ On the local linear estimate for functional regression: Uniform in bandwidth consistency ⋮ Minimax regression estimation for Poisson coprocess ⋮ A nonparametric inverse probability weighted estimation for functional data with missing response data at random ⋮ Nonparametric modelling for functional data: selected survey and tracks for future ⋮ Tests for the linear hypothesis in semi-functional partial linear regression models ⋮ Lasso in Infinite dimension: application to variable selection in functional multivariate linear regression ⋮ Unnamed Item ⋮ FDA: strong consistency of the kNN local linear estimation of the functional conditional density and mode ⋮ Robust regression analysis for a censored response and functional regressors ⋮ Nonparametric depth and quantile regression for functional data ⋮ Nearest neighbors estimation for long memory functional data ⋮ Local polynomial estimation of regression operators from functional data with correlated errors ⋮ Volatility estimation in a nonlinear heteroscedastic functional regression model with martingale difference errors ⋮ Robust estimators in semi-functional partial linear regression models ⋮ Convergence rates for kernel regression in infinite-dimensional spaces ⋮ Local bandwidth selection for kernel density estimation in a bifurcating Markov chain model ⋮ Adaptive regression with Brownian path covariate ⋮ Uniform limit theorems for a class of conditional \(Z\)-estimators when covariates are functions ⋮ Uniform in bandwidth consistency for various kernel estimators involving functional data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables
- Inference for functional data with applications
- Adaptive and minimax estimation of the cumulative distribution function given a functional covariate
- Optimal adaptive estimation of the relative density
- Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
- Single and multiple index functional regression models with nonparametric link
- Local linear regression for functional data
- Pointwise adaptive estimation of a multivariate density under independence hypothesis
- Structural adaptation via \(\mathbb L_p\)-norm oracle inequalities
- Local linear regression for functional predictor and scalar response
- Distance-based local linear regression for functional predictors
- Local smoothing regression with functional data
- Estimating some characteristics of the conditional distribution in nonparametric functional models
- Bandwidth selection for functional time series prediction
- Rate of uniform consistency for nonparametric estimates with functional variables
- On the lower tail of Gaussian seminorms
- Optimal rates of convergence for nonparametric estimators
- Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
- Minimum contrast estimators on sieves: Exponential bounds and rates of convergence
- Asymptotic minimax estimation of regression in the additive model
- Modèle à indice fonctionnel simple. (Single functional index model)
- The functional nonparametric model and applications to spectrometric data
- Bayesian bandwidth estimation for a nonparametric functional regression model with unknown error density
- Recursive estimation of nonparametric regression with functional covariate
- Optimal global rates of convergence for nonparametric regression
- Lower bound in regression for functional data by representation of small ball probabilities
- Partial functional linear regression
- Functional projection pursuit regression
- Optimal rates and adaptation in the single-index model using aggregation
- Adaptive estimation in the single-index model via oracle approach
- Adaptive estimation under single-index constraint in a regression model
- Semi-functional partial linear regression
- Nonparametric regression for functional data: automatic smoothing parameter selection
- Bayesian bandwidth estimation for a functional nonparametric regression model with mixed types of regressors and unknown error density
- Functional partial linear model
- Cross-validated estimations in the single-functional index model
- Locally modelled regression and functional data
- k-Nearest Neighbour method in functional nonparametric regression
- Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
- Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés
- RKHS‐based functional nonparametric regression for sparse and irregular longitudinal data
This page was built for publication: Adaptive estimation in the functional nonparametric regression model