Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data
type: Item
instance of: scholarly article
title: Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data
zbMATH Open document ID: 1499.62125
author: Amel Nezzal
author: Salim Bouzebda
published in: Japanese Journal of Statistics and Data Science
publication date: 2022-12-13T00:00:00Z
Mathematics Subject Classification ID: 62G08
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62G35
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 62G32
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62E20
Mathematics Subject Classification ID: 62R10
zbMATH DE Number: 7632466
zbMATH Keywords: uniform almost complete convergence
zbMATH Keywords: conditional \(U\)-statistics
zbMATH Keywords: functional data analysis
zbMATH Keywords: functional regression
zbMATH Keywords: Kolmogorov's entropy
zbMATH Keywords: small ball probability
zbMATH Keywords: uniform consistency
zbMATH Keywords: uniform in number of neighbors consistency
zbMATH Keywords: \(k\)-NN estimator
zbMATH Keywords: data-driven estimator
describes a project that uses: fda (R)
MaRDI profile type: Publication
full work available at URL: s42081-022-00161-3
OpenAlex ID: W4281661220
cites work: The functional \(k\mathrm{NN}\) estimator of the conditional expectile: uniform consistency in number of neighbors
cites work: Recent advances in functional data analysis and high-dimensional statistics
cites work: A Bernstein-type inequality for \(U\)-statistics and \(U\)-processes
cites work: Limit theorems for \(U\)-processes
cites work: Some new tests for normality based on U-processes
cites work: Central limit theorems for empirical and \(U\)-processes of stationary mixing sequences
cites work: On the local linear estimate for functional regression: Uniform in bandwidth consistency
cites work: Metric Learning
cites work: Lectures on the nearest neighbor method
cites work: Distribution Free Tests of Independence Based on the Sample Distribution Function
cites work: Q4219109
cites work: Linear processes in function spaces. Theory and applications
cites work: Inference and Prediction in Large Dimensions
cites work: On the uniform-in-bandwidth consistency of the general conditionalU-statistics based on the copula representation
cites work: On the strong approximation of bootstrapped empirical copula processes with applications
cites work: Uniform limit theorems for a class of conditional \(Z\)-estimators when covariates are functions
cites work: Uniform convergence rate of the kernel regression estimator adaptive to intrinsic dimension in presence of censored data
cites work: Uniform-in-bandwidth consistency for kernel-type estimators of Shannon's entropy
cites work: Uniform in bandwidth consistency of nonparametric regression based on copula representation
cites work: Central limit theorems for conditional empirical and conditional \(U\)-processes of stationary mixing sequences
cites work: Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data
cites work: k-Nearest Neighbour method in functional nonparametric regression
cites work: Generalization bounds for metric and similarity learning
cites work: Q4328386
cites work: Adjustments of multi-sample \(U\)-statistics to right censored data and confounding covariates
cites work: Scaling-up empirical risk minimization: optimization of incomplete \(U\)-statistics
cites work: A partial overview of the theory of statistics with functional data
cites work: Inverse Probability of Censoring Weighted U-statistics for Right-Censored Data with an Application to Testing Hypotheses
cites work: Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
cites work: Q4227575
cites work: One bootstrap suffices to generate sharp uniform bounds in functional estimation
cites work: General asymptotic confidence bands based on kernel-type function estimators
cites work: Uniform in bandwidth consistency of kernel regression estimators at a fixed point
cites work: Uniform in bandwidth consistency of conditional \(U\)-statistics
cites work: Q3217346
cites work: Uniform Central Limit Theorems
cites work: The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
cites work: The Large-Sample Power of Rank Order Tests in the Two-Sample Problem
cites work: An empirical process approach to the uniform consistency of kernel-type function estimators
cites work: Uniform in bandwidth consistency of kernel-type function estimators
cites work: Asymptotic normality of a nonparametric estimator of the conditional mode function for functional data
cites work: Rate of uniform consistency for nonparametric estimates with functional variables
cites work: NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS
cites work: Functional Nonparametric Statistics in Action
cites work: Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties
cites work: A LIL type result for the product limit estimator
cites work: An Application ofU-Statistics to Nonparametric Functional Data Analysis
cites work: Nonparametric Estimation of the Mode of A Distribution of Random Curves

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Curse of dimensionality and related issues in nonparametric functional regression

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Testing monotonicity of regression.

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Laws of the iterated logarithm for the local U-statistic process

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: On local \(U\)-statistic processes and the estimation of densities of functions of several sample variables

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: An introduction to recent advances in high/infinite dimensional statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Asymptotic properties of integrated square error and cross-validation for kernel estimation of a regression function

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: The Theory of Unbiased Estimation

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Optimal bandwidth selection in nonparametric regression function estimation

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Conditional \(U\)-statistics for dependent random variables

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: A Class of Statistics with Asymptotically Normal Distribution

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Testing Whether New is Better than Used

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Inference for functional data with applications

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: An introduction to functional data analysis and a principal component approach for testing the equality of mean curves

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: An association test for functional data based on Kendall's tau

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Robust estimation of \(U\)-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Nonparametric Estimation from Incomplete Observations

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Data-driven \(k\)NN estimation in nonparametric functional data analysis

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Uniform in bandwidth consistency for various kernel estimators involving functional data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Principal components of random variables with values in a seperable hilbert space

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Prediction from randomly right censored data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q3265072

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Introduction to empirical processes and semiparametric inference

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Uniform consistency of \(k\mathrm{NN}\) regressors for functional variables

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q3999009

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Testing for Stochastic Monotonicity

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: A General Concept of Unbiasedness

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Gaussian processes: Inequalities, small ball probabilities and applications

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Uniform consistency rate of kNN regression estimation for functional time series data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Nonparametric modelling for functional data: selected survey and tracks for future

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Convergence rate of kernel regression estimation for time series data when both response and covariate are functional

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: A Nonparametric Estimate of a Multivariate Density Function

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Uniform limit laws of the logarithm for nonparametric estimators of the regression function in presence of censored data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Proving consistency of non-standard kernel estimators

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Nonparametric regression estimation for dependent functional data: asymptotic normality

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: The probability of small Gaussian ellipsoids and associated conditional moments

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Peter Hall, functional data analysis and random objects

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Functional Additive Models

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q5509408

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: U-processes: Rates of convergence

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Automatic and location-adaptive estimation in functional single-index regression

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Rates of convergence for random forests via generalized U-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Set-indexed conditional empirical and quantile processes based on dependent data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Limit distributions of conditional \(U\)-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Nonparametric regression for functional data: automatic smoothing parameter selection

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q4272472

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Functional data analysis.

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Some Statistical Methods for Comparison of Growth Curves

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Tests for normality based on density estimators of convolutions

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q4864514

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Approximation Theorems of Mathematical Statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: A survey of functional principal component analysis

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: The Limiting Distribution of the Maximum Rank Correlation Estimator

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Maximal inequalities for degenerate \(U\)-processes with applications to optimization estimators

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Gaussian Process Regression Analysis for Functional Data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Conditional empirical processes

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Conditional \(U\)-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Almost sure representations of the product-limit estimator for truncated data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: \(L^ p\)-convergence of conditional \(U\)-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Universally consistent conditional \(U\)-statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q4348092

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q4294319

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: The statistical work of Lucien Le Cam.

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Weak convergence and empirical processes. With applications to statistics

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Bayesian inference with rescaled Gaussian process priors

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: On the Asymptotic Distribution of Differentiable Statistical Functions

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: On dimension reduction models for functional data

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: Q5510038

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (cites work)
cites work: U-statistics with conditional kernels for incomplete data models

Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data (DOI)
DOI: 10.1007/S42081-022-00161-3