Gaussian characterization of uniform Donsker classes of functions

DOI10.1214/aop/1176990450zbMath0734.60007OpenAlexW1981601376MaRDI QIDQ810991

Joel Zinn, Evarist Giné M.

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1214/aop/1176990450

zbMATH Keywords

Donsker classGaussian characterizationuniform Donsker classesuniform exponential bounds for empirical processes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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