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October, 1986 Empirical Processes Indexed by Lipschitz Functions
Evarist Gine, Joel Zinn
Ann. Probab. 14(4): 1329-1338 (October, 1986). DOI: 10.1214/aop/1176992373


Necessary and sufficient conditions on $P$ for the unit balls of $BL(\mathbf{R})$ and $\operatorname{Lip}(\mathbf{R})$ to be functional $P$-Donsker classes are obtained.


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Evarist Gine. Joel Zinn. "Empirical Processes Indexed by Lipschitz Functions." Ann. Probab. 14 (4) 1329 - 1338, October, 1986.


Published: October, 1986
First available in Project Euclid: 19 April 2007

zbMATH: 0611.60029
MathSciNet: MR866353
Digital Object Identifier: 10.1214/aop/1176992373

Primary: 60F17

Keywords: Empirical processes , functional Donsker classes , Lipschitz and bounded Lipschitz functions

Rights: Copyright © 1986 Institute of Mathematical Statistics

Vol.14 • No. 4 • October, 1986
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