Stratified incomplete local simplex tests for curvature of nonparametric multiple regression

Xiaohui Chen, Kengo Kato, Yanglei Song

Publication date: 19 December 2022

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09091

zbMATH Keywords

stratification nonparametric regression curvature testing incomplete \(U\)-processes

Mathematics Subject Classification ID

Nonparametric inference (62Gxx) Limit theorems in probability theory (60Fxx) Statistical distribution theory (62Exx)

Related Items (1)

Stratified incomplete local simplex tests for curvature of nonparametric multiple regression

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
An improved global risk bound in concave regression
Gaussian approximation of suprema of empirical processes
A new perspective on least squares under convex constraint
U-processes: Rates of convergence
Nonparametric least squares estimation of a multivariate convex regression function
Limit theorems for \(U\)-processes
Global risk bounds and adaptation in univariate convex regression
Functional limit theorems for U-processes
Nonparametric regression under qualitative smoothness assumptions
Consistency in concave regression
Reduced U-statistics and the Hodges-Lehmann estimator
Maximal inequalities for degenerate \(U\)-processes with applications to optimization estimators
\(U\)-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of \(U\)-statistics with estimated parameters
Nonparametric shape-restricted regression
Testing monotonicity of regression.
Multiscale testing of qualitative hypotheses
Estimation of a convex function: Characterizations and asymptotic theory.
On nonparametric tests of positivity/monotonicity/convexity
Weak convergence and empirical processes. With applications to statistics
Stratified incomplete local simplex tests for curvature of nonparametric multiple regression
Jackknife multiplier bootstrap: finite sample approximations to the \(U\)-process supremum with applications
On convergence rates of suprema
Approximating high-dimensional infinite-order \(U\)-statistics: statistical and computational guarantees
Randomized incomplete \(U\)-statistics in high dimensions
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
Consistency of Multidimensional Convex Regression
Testing the monotonicity or convexity of a function using regression splines
A Framework For Estimation Of Convex Functions
Mathematical Foundations of Infinite-Dimensional Statistical Models
Representation theorem for convex nonparametric least squares
Testing for Stochastic Monotonicity
The asymptotic distributions of incomplete U-statistics
Some properties of incomplete U-statistics
A nonparametric test of the non-convexity of regression
Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models
Estimating Densities of Functions of Observations
A Computational Framework for Multivariate Convex Regression and Its Variants
Common risk factors in the returns on stocks and bonds
Point Estimates of Ordinates of Concave Functions
On convex least squares estimation when the truth is linear
A Projection Framework for Testing Shape Restrictions That Form Convex Cones

This page was built for publication: Stratified incomplete local simplex tests for curvature of nonparametric multiple regression