The central limit theorem for empirical processes on Vapnik- Červonenkis classes
From MaRDI portal
Publication:578721
DOI10.1214/aop/1176992263zbMath0624.60032OpenAlexW2075071660MaRDI QIDQ578721
Publication date: 1987
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176992263
central limit theoremweighted empirical processesempirical measuresVapnik-Červonenkis classes of setsVapnik-Červonenkis property
Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items
The central limit theorem for empirical processes on V-Č classes: A majorizing measure approach, The blockwise bootstrap for general empirical processes of stationary sequences, Some new tests for multivariate normality, Functional central limit theorems for triangular arrays of function-indexed processes under uniformly integrable entropy conditions, An estimate on the supremum of a nice class of stochastic integrals and U-statistics, Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy, Analytical and statistical properties of local depth functions motivated by clustering applications, New Donsker classes, Uniform laws of large numbers for triangular arrays of function-indexed processes under random entropy conditions, Concentration inequalities and asymptotic results for ratio type empirical processes, The central limit theorem for weighted empirical processes indexed by sets, Classes of Functions Related to VC Properties, The law of the iterated logarithm for empirical processes on Vapnik- Červonenkis classes, Weak convergence for rectangle-indexed weighted multivariate empirical \(U\)-statistic processes under mixing conditions, Poisson and Gaussian approximation of weighted local empirical processes, The central limit theorem and the law of iterated logarithm for empirical processes under local conditions, Generic uniform convergence and equicontinuity concepts for random functions. An exploration of the basic structure, Rate of convergence in the central limit theorem for empirical processes