Asymptotic properties of conditional U -statistics using delta sequences

DOI10.1080/03610926.2023.2179887MaRDI QIDQ6573024

Publication date: 16 July 2024

Published in: Communications in Statistics. Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Density estimation (62G07) Estimation in multivariate analysis (62H12) Gaussian processes (60G15) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Cites Work

Distribution Free Tests of Independence Based on the Sample Distribution Function
Testing Whether New is Better than Used
On Estimation of a Probability Density Function and Mode
A NEW MEASURE OF RANK CORRELATION
A Class of Statistics with Asymptotically Normal Distribution
On the Asymptotic Distribution of Differentiable Statistical Functions
A General Concept of Unbiasedness
The Theory of Unbiased Estimation
General tests of conditional independence based on empirical processes indexed by functions
Renewal type bootstrap for $U$-process Markov chains
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Unnamed Item
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Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Generalization bounds for metric and similarity learning
Multivariate wavelet density and regression estimators for stationary and ergodic continuous time processes: asymptotic results
Robust estimation of $U$-statistics
Ranking data with ordinal labels: optimality and pairwise aggregation
Asymptotic behavior of weighted multivariate Cramér-von Mises-type statistics under contiguous alternatives
Strong consistency of the internal estimator of nonparametric regression with dependent data
Degenerate $U$- and $V$-statistics under weak dependence: asymptotic theory and bootstrap consistency
Nonparametric density estimation for functional data by delta sequences
U-statistics with conditional kernels for incomplete data models
On internally corrected and symmetrized kernel estimators for nonparametric regression
Tests for normality based on density estimators of convolutions
Some new multivariate tests of independence
Limit theorems for $U$-processes
Uniform limit laws of the logarithm for nonparametric estimators of the regression function in presence of censored data
Uniform in bandwidth consistency of conditional $U$-statistics
A general approach to classification problems
Random approximations to some measures of accuracy in nonparametric curve estimation
A class of linear regression parameter estimators constructed by nonparametric estimation
Uniform consistency of automatic and location-adaptive delta-sequence estimators
Density estimation for Markov processes using delta-sequences
Estimation of a multivariate density function using delta sequences
A note on nonparametric density estimation for dependent variables using a delta sequence
Conditional $U$-statistics
Rate of strong consistency of two nonparametric density estimators
Probability density estimation using delta sequences
Consistency of the Takens estimator for the correlation dimension
Maximal inequalities for degenerate $U$-processes with applications to optimization estimators
Universally consistent conditional $U$-statistics
$L^ p$-convergence of conditional $U$-statistics
Prediction from randomly right censored data
Regression operator estimation by delta-sequences method for functional data and its applications
General tests of independence based on empirical processes indexed by functions
Adjustments of multi-sample $U$-statistics to right censored data and confounding covariates
Estimators related to $U$-processes with applications to multivariate medians: Asymptotic normality
A distribution-free theory of nonparametric regression
Testing monotonicity of regression.
Limit distributions of conditional $U$-statistics
On the law of the iterated logarithm for canonical $U$-statistics and processes
Conditional $U$-statistics for dependent random variables
On the strong approximation of bootstrapped empirical copula processes with applications
Degenerate $U$- and $V$-statistics under ergodicity: asymptotics, bootstrap and applications in statistics
Uniform limit theorems for a class of conditional $Z$-estimators when covariates are functions
Asymptotics for function derivatives estimators based on stationary and ergodic discrete time processes
Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional $U$-statistics involving functional data
Jackknife multiplier bootstrap: finite sample approximations to the $U$-process supremum with applications
Some asymptotic properties of kernel regression estimators of the mode for stationary and ergodic continuous time processes
Central limit theorems for conditional empirical and conditional $U$-processes of stationary mixing sequences
Almost sure representations of the product-limit estimator for truncated data
Laws of the iterated logarithm for the local U-statistic process
Ranking and empirical minimization of $U$-statistics
A consistent test of independence based on a sign covariance related to Kendall's tau
Some new tests for normality based on U-processes
Rate optimal estimation with the integration method in the presence of many covariates
Nonparametric estimation of a regression function by delta sequences
On local $U$-statistic processes and the estimation of densities of functions of several sample variables
Renewal type bootstrap for increasing degree $U$-process of a Markov chain
Limit theorems for functionals of mixing processes with applications to $U$-statistics and dimension estimation
Bayesian bandwidth estimation for a functional nonparametric regression model with mixed types of regressors and unknown error density
Additive regression model for stationary and ergodic continuous time processes
Multivariate wavelet density and regression estimators for stationary and ergodic discrete time processes: Asymptotic results
Inverse Probability of Censoring Weighted U-statistics for Right-Censored Data with an Application to Testing Hypotheses
The Large-Sample Power of Rank Order Tests in the Two-Sample Problem
Nonparametric Estimation from Incomplete Observations
Approximation Theorems of Mathematical Statistics
New estimates and tests of independence in some copula models
Testing for Stochastic Monotonicity
On U-statistics and v. mise? statistics for weakly dependent processes
Speed of Convergence in Density Estimation by Delta Sequence and Estimation of Mode
A LIL type result for the product limit estimator
Distances on circles, toruses and spheres
Versions of Kernel-Type Regression Estimators
Local minimax pointwise estimation of a multivariate density
An Adaptive, Rate-Optimal Test of a Parametric Mean-Regression Model Against a Nonparametric Alternative
Uniform convergence rate of the kernel regression estimator adaptive to intrinsic dimension in presence of censored data
On the uniform-in-bandwidth consistency of the general conditionalU-statistics based on the copula representation
Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications
Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data
A New Test Procedure of Independence in Copula Models via χ²-Divergence
The TreeRank Tournament algorithm for multipartite ranking
The Limiting Distribution of the Maximum Rank Correlation Estimator
Probability Inequalities for Sums of Bounded Random Variables
On Non-Parametric Estimates of Density Functions and Regression Curves
Bandwidth Selection in Nonparametric Kernel Testing
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