Gaussian approximation of suprema of empirical processes

From MaRDI portal
Publication:464197

DOI10.1214/14-AOS1230zbMath1317.60038arXiv1212.6885MaRDI QIDQ464197

Kengo Kato, Denis Chetverikov, Victor Chernozhukov

Publication date: 17 October 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6885




Related Items (79)

Lasso-driven inference in time and spaceNotes on the dimension dependence in high-dimensional central limit theorems for hyperrectanglesNonparametric modal regressionBerry-Esseen bounds for Chernoff-type nonstandard asymptotics in isotonic regressionA unified theory of confidence regions and testing for high-dimensional estimating equationsESTIMATION AND INFERENCE FOR MOMENTS OF RATIOS WITH ROBUSTNESS AGAINST LARGE TRIMMING BIASAre discoveries spurious? Distributions of maximum spurious correlations and their applicationsEmpirical and multiplier bootstraps for suprema of empirical processes of increasing complexity, and related Gaussian couplingsNONPARAMETRIC SIGNIFICANCE TESTING IN MEASUREMENT ERROR MODELSJackknife multiplier bootstrap: finite sample approximations to the \(U\)-process supremum with applicationsTrinity tests of functions for conditional moment modelsAsymptotic theory for density ridgesHigh-dimensional central limit theorems for homogeneous sumsEstimating and inferring the maximum degree of stimulus‐locked time‐varying brain connectivity networksUnconditional quantile regression with high‐dimensional dataInference on heterogeneous treatment effects in high‐dimensional dynamic panels under weak dependenceOn semiparametric inference for periodically modulated density functionsInference for High-Dimensional Exchangeable ArraysTesting for monotonicity under endogeneity: an application to the reservation wage functionBootstrap Adjustment to Minimum p-Value Method for Predictive ClassificationA probability approximation framework: Markov process approachNearly optimal central limit theorem and bootstrap approximations in high dimensionsBootstrap adjusted predictive classification for identification of subgroups with differential treatment effects under generalized linear modelsBootstrap Inference for Quantile-based Modal RegressionTesting stochastic dominance with many conditioning variablesInference on individual treatment effects in nonseparable triangular modelsMultidimensional multiscale scanning in exponential families: limit theory and statistical consequencesEstimation of complier expected shortfall treatment effects with a binary instrumental variableOff-Policy Confidence Interval Estimation with Confounded Markov Decision ProcessEstimation and inference for policy relevant treatment effectsEstimation and inference of treatment effects with \(L_2\)-boosting in high-dimensional settingsAbout tests of the ``simplifying assumption for conditional copulasBandwidth selection for nonparametric regression with errors-in-variablesUnnamed ItemCommunication‐efficient low‐dimensional parameter estimation and inference for high‐dimensional Lp$$ {L}^p $$‐quantile regressionLocal regression distribution estimatorsHONEST CONFIDENCE SETS IN NONPARAMETRIC IV REGRESSION AND OTHER ILL-POSED MODELSGaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectorsHigh-dimensional CLT: improvements, non-uniform extensions and large deviationsGaussian approximation of suprema of empirical processesUniform nonparametric inference for time seriesLocally adaptive confidence bandsComment on “A Tuning-Free Robust and Efficient Approach to High-Dimensional Regression”Kernel Meets Sieve: Post-Regularization Confidence Bands for Sparse Additive ModelSome new asymptotic theory for least squares series: pointwise and uniform resultsUnnamed ItemUnnamed ItemMultiscale scanning in inverse problemsUniformly valid post-regularization confidence regions for many functional parameters in z-estimation frameworkExtremes of locally stationary Gaussian and chi fields on manifoldsPivotal estimation via square-root lasso in nonparametric regressionInference for first-price auctions with Guerre, Perrigne, and Vuong's estimatorRobust uniform inference for quantile treatment effects in regression discontinuity designsNonparametric inference via bootstrapping the debiased estimatorUnnamed ItemUniform confidence bands for nonparametric errors-in-variables regressionUniform confidence bands in deconvolution with unknown error distributionGaussian approximations for maxima of random vectors under \((2+\iota)\)-th momentsNecessary and sufficient conditions for variable selection consistency of the Lasso in high dimensionsEmpirical process results for exchangeable arraysAsymptotic confidence regions for density ridgesLarge Sample Properties of Partitioning-Based Series EstimatorsBootstrap confidence bands for spectral estimation of Lévy densities under high-frequency observationsVolatility couplingNonparametric inference on Lévy measures of compound Poisson-driven Ornstein-Uhlenbeck processes under macroscopic discrete observationsConcentration inequalities for suprema of unbounded empirical processesINFERENCE IN NONPARAMETRIC SERIES ESTIMATION WITH SPECIFICATION SEARCHES FOR THE NUMBER OF SERIES TERMSOn linearization of nonparametric deconvolution estimators for repeated measurements modelApproximation to stable law by the Lindeberg principleQuantile regression approach to conditional mode estimationNon-separable models with high-dimensional dataA Massive Data Framework for M-Estimators with Cubic-RateUnnamed ItemMonotonicity-constrained nonparametric estimation and inference for first-price auctionsSpace partitioning and regression maxima seeking via a mean-shift-inspired algorithmStratified incomplete local simplex tests for curvature of nonparametric multiple regressionBootstrapping the operator norm in high dimensions: error estimation for covariance matrices and sketchingHigh-dimensional linear models with many endogenous variablesThe hazard level set



Cites Work


This page was built for publication: Gaussian approximation of suprema of empirical processes