Central limit theorems for local empirical processes near boundaries of sets

DOI10.3150/10-BEJ283zbMath1248.60030arXiv1104.4220MaRDI QIDQ453287

John H. J. Einmahl, Estate V. Khmaladze

Publication date: 19 September 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4220

zbMATH Keywords

weak convergenceconvex bodylocal empirical processGaussian behaviorset boundarydifferentiation of sets

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17) Abstract differentiation theory, differentiation of set functions (28A15)

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Cube root weak convergence of empirical estimators of a density level set, Fold-up derivatives of set-valued functions and the change-set problem: a survey, Differentiation of sets -- the general case, A conversation with Estate V. Khmaladze, Unnamed Item

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