Uniform in bandwidth consistency of conditional \(U\)-statistics adaptive to intrinsic dimension in presence of censored data
DOI10.1007/s13171-022-00301-7OpenAlexW4312106701MaRDI QIDQ6167552
Anouar Abdeldjaoued Ferfache, Thouria El-Hadjali, Salim Bouzebda
Publication date: 7 August 2023
Published in: Sankhyā. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13171-022-00301-7
kernel estimationVC-classesregressionfunctional estimationnon-parametric estimationconditional empirical processesconditional \(U\)-processes
Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30) Stationary stochastic processes (60G10)
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Cites Work
- A general result on the uniform in bandwidth consistency of kernel-type function estimators
- Robust estimation of \(U\)-statistics
- Degenerate \(U\)- and \(V\)-statistics under weak dependence: asymptotic theory and bootstrap consistency
- Proving consistency of non-standard kernel estimators
- U-statistics with conditional kernels for incomplete data models
- U-processes: Rates of convergence
- Tests for normality based on density estimators of convolutions
- 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 the kernel-type estimator of the Shannon's entropy
- Uniform in bandwidth consistency of conditional \(U\)-statistics
- A strong consistency of a nonparametric estimate of entropy under random censorship
- Optimal bandwidth selection in nonparametric regression function estimation
- Conditional \(U\)-statistics
- Sharper bounds for Gaussian and empirical processes
- 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
- Uniform in bandwidth consistency of nonparametric regression based on copula representation
- Adjustments of multi-sample \(U\)-statistics to right censored data and confounding covariates
- General asymptotic confidence bands based on kernel-type function estimators
- 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
- Weak convergence and empirical processes. With applications to statistics
- 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-in-bandwidth consistency for kernel-type estimators of Shannon's entropy
- Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional \(U\)-statistics involving functional data
- 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
- Introduction to empirical processes and semiparametric inference
- Some new tests for normality based on U-processes
- Uniform in bandwidth consistency of kernel-type function estimators
- On local \(U\)-statistic processes and the estimation of densities of functions of several sample variables
- Weak-convergence of empirical conditional processes and conditional \(U\)-processes involving functional mixing data
- 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
- Inverse Probability of Censoring Weighted U-statistics for Right-Censored Data with an Application to Testing Hypotheses
- Asymptotic properties of integrated square error and cross-validation for kernel estimation of a regression function
- Nonparametric Estimation from Incomplete Observations
- Testing for Stochastic Monotonicity
- On U-statistics and v. mise? statistics for weakly dependent processes
- A LIL type result for the product limit estimator
- Distances on circles, toruses and spheres
- Nonparametric modelling for functional data: selected survey and tracks for future
- 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
- Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data
- The Limiting Distribution of the Maximum Rank Correlation Estimator
- Testing Whether New is Better than Used
- A Class of Statistics with Asymptotically Normal Distribution
- On the Asymptotic Distribution of Differentiable Statistical Functions
- The Theory of Unbiased Estimation
- An empirical process approach to the uniform consistency of kernel-type function estimators
- Combinatorial methods in density estimation
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