Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
From MaRDI portal
Publication:4819554
DOI10.1080/10485250310001622686zbMath1049.62039OpenAlexW2048315575MaRDI QIDQ4819554
Philippe Vieu, Frédéric Ferraty
Publication date: 27 September 2004
Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10485250310001622686
Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)
Related Items
Real-time estimation for functional stochastic regression models, Consistency of modified kernel regression estimation for functional data, Partly linear models on Riemannian manifolds, An Application ofU-Statistics to Nonparametric Functional Data Analysis, Error variance estimation in semi-functional partially linear regression models, Gaussian Process Models for Non Parametric Functional Regression with Functional Responses, Local linear estimation of a generalized regression function with functional dependent data, Asymptotic normality of the Nadaraya–Watson estimator for nonstationary functional data and applications to telecommunications, Consistency of the recursive nonparametric regression estimation for dependent functional data, Nonparametric modelling for functional data: selected survey and tracks for future, Parametric Functional Principal Component Analysis, Unnamed Item, Erratum of: ‘Non-parametric models for functional data, with application in regression, time-series prediction and curve discrimination’, Nonparametric recursive method for generalized kernel estimators for dependent functional data, Classification of social media users with generalized functional data analysis, Two-time-scale nonparametric recursive regression estimator for independent functional data, Nonlinear functional models for functional responses in reproducing kernel hilbert spaces, Evaluation of longitudinal surrogate markers, Unnamed Item, Asymptotic Results of a Nonparametric Conditional Quantile Estimator for Functional Time Series, Functional data analysis: estimation of the relative error in functional regression under random left-truncation model, Asymptotic normality of the local linear estimation of the conditional density for functional time-series data, Tensorial products of functional ARMA processes, Functional partial linear model, RKHS‐based functional nonparametric regression for sparse and irregular longitudinal data, Conditional Functional Principal Components Analysis, Asymptotic normality of a nonparametric estimator of the conditional mode function for functional data, Functional Modelling and Classification of Longitudinal Data*, Cross-validated estimations in the single-functional index model, Assessing the Finite Dimensionality of Functional Data, Road trafficking description and short term travel time forecasting, with a classification method, EXPONENTIAL INEQUALITIES AND FUNCTIONAL ESTIMATIONS FOR WEAK DEPENDENT DATA: APPLICATIONS TO DYNAMICAL SYSTEMS, Randomly censored quantile regression estimation using functional stationary ergodic data, Empirical Likelihood Inference for Nonparametric Regression Functions with Functional Stationary Ergodic Data, Nonparametric regression method with functional covariates and multivariate response, Interpretable dimension reduction for classifying functional data, An introduction to recent advances in high/infinite dimensional statistics, On the estimation of the functional Weibull tail-coefficient, A Bayesian approach for determining the optimal semi-metric and bandwidth in scalar-on-function quantile regression with unknown error density and dependent functional data, Adaptive estimation in the functional nonparametric regression model, Plug-in prediction intervals for a special class of standard ARH(1) processes, Feature selection for functional data, Direct shrinkage estimation of large dimensional precision matrix, Recursive estimation of nonparametric regression with functional covariate, Efficiency in multivariate functional nonparametric models with autoregressive errors, Modified kernel regression estimation with functional time series data, Consistent estimation of a general nonparametric regression function in time series, Regression operator estimation by delta-sequences method for functional data and its applications, Functional kernel estimation of the conditional extreme value index under random right censoring, Bootstrap confidence intervals in functional nonparametric regression under dependence, Defining probability density for a distribution of random functions, Nonparametric regression for functional data: automatic smoothing parameter selection, Regression models for functional data by reproducing kernel Hilbert spaces methods, Regression models with correlated errors based on functional random design, Fourier analysis of stationary time series in function space, Robust template estimation for functional data with phase variability using band depth, Prediction in functional linear regression, Nonparametric kernel regression estimation for functional stationary ergodic data: Asymptotic properties, Selection of time instants and intervals with support vector regression for multivariate functional data, Pointwise and uniform moderate deviations for nonparametric regression function estimator on functional data, Frontier estimation with kernel regression on high order moments, Spatial autoregressive and moving average Hilbertian processes, Large deviation results for the nonparametric regression function estimator on functional data, Tests for the linear hypothesis in semi-functional partial linear regression models, Functional sufficient dimension reduction: convergence rates and multiple functional case, Spline estimators for semi-functional linear model, Empirical likelihood confidence intervals for nonparametric functional data analysis, Moments, errors, asymptotic normality and large deviation principle in nonparametric functional regression, Structural test in regression on functional variables, Nonlinear functional canonical correlation analysis via distance covariance, Regression when both response and predictor are functions, A functional linear model for time series prediction with exogenous variables, Spline confidence bands for functional derivatives, Convergence of nonparametric functional regression estimates with functional responses, Lower bound in regression for functional data by representation of small ball probabilities, Single and multiple index functional regression models with nonparametric link, Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses, Kernel regression with functional response, Weak consistency of the support vector machine quantile regression approach when covariates are functions, Partially linear varying coefficient models stratified by a functional covariate, The Berry-Esséen type bound of sample quantiles for strong mixing sequence, Estimation and inference in semi-functional partially linear measurement error models, Nearest neighbors estimation for long memory functional data, Consistency of the regression estimator with functional data under long memory conditions, A note on exponential inequalities in Hilbert spaces for spatial processes with applications to the functional kernel regression model, 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, Asymptotic normality of conditional density estimation in the single index model for functional time series data, Instrumental variable estimation in functional linear models, Asymptotic properties of a component-wise ARH(1) plug-in predictor, Optimal functional parameter in the single functional index model, Curves discrimination: a nonparametric functional approach, Recursive non-parametric kernel classification rule estimation for independent functional data, Frontier estimation via kernel regression on high power-transformed data, Asymptotic properties of nonparametric M-estimation for mixing functional data, Local linear regression for functional predictor and scalar response, Some asymptotic properties for functional canonical correlation analysis, Additive prediction and boosting for functional data, PLS classification on functional data, Local smoothing regression with functional data, Nonparametric time series prediction: A semi-functional partial linear modeling, Nonparametric regression estimation for dependent functional data: asymptotic normality, Large deviations theorems in nonparametric regression on functional data, Varying coefficient functional autoregressive model with application to the U.S. treasuries, Rates of strong consistencies of the regression function estimator for functional stationary ergodic data, Bootstrap in functional linear regression, Semi-functional partial linear regression, Rate of the almost complete convergence of a kernel regression estimate with twice censored data, Nonparametric M-estimation for functional stationary ergodic data, Assessing extrema of empirical principal component functions, Recursive nonparametric regression estimation for dependent strong mixing functional data, Estimating some characteristics of the conditional distribution in nonparametric functional models, Strong uniform consistency rates of conditional quantile estimation in the single functional index model under random censorship, Non Parametric Regression Quantile Estimation for Dependent Functional Data under Random Censorship: Asymptotic Normality, Kernel regression estimation in a Banach space, High-dimensional principal projections, On depth measures and dual statistics. A methodology for dealing with general data, Robust functional linear regression based on splines, Bandwidth selection for functional time series prediction, Asymptotic normality of locally modelled regression estimator for functional data, Convergence rates for kernel regression in infinite-dimensional spaces, Diagnostics for functional regression via residual processes, Robust forecasting of mortality and fertility rates: a functional data approach, Classifying densities using functional regression trees: applications in oceanology, Nonparametric Estimation of Variance Function for Functional Data Under Mixing Conditions, Testing equality of spectral density operators for functional processes, Estimation of functional derivatives, Automatic smoothing parameter selection for the nonparametric regression estimation of functional data., Functional semiparametric partially linear model with autoregressive errors, Measures of influence for the functional linear model with scalar response, Functional nonparametric estimation of conditional extreme quantiles, Integral least-squares inferences for semiparametric models with functional data, Mean estimation with data missing at random for functional covariables, Nonparametric regression estimation for functional stationary ergodic data with missing at random, Strong convergence of robust equivariant nonparametric functional regression estimators
Uses Software
Cites Work
- Curves discrimination: a nonparametric functional approach
- Nonparametric statistics for stochastic processes. Estimation and prediction.
- Functional data analysis
- The functional nonparametric model and applications to spectrometric data
- Linear processes in function spaces. Theory and applications
- Functional nonparametric model for time series: a fractal approach for dimension reduction
- Nonparametric Estimation of the Mode of A Distribution of Random Curves
- Testing Hypotheses in the Functional Linear Model
- Linear functional regression: The case of fixed design and functional response