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August, 1974 On the Weak Convergence of Empirical Processes in Sup-norm Metrics
Neville E. O'Reilly
Ann. Probab. 2(4): 642-651 (August, 1974). DOI: 10.1214/aop/1176996610

Abstract

Necessary and sufficient conditions for the weak convergence in stronger than the usual metrics of empirical, inverse empirical and partial sum processes are obtained. The results are related to work of Chibisov and of Pyke and Shorack.

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Neville E. O'Reilly. "On the Weak Convergence of Empirical Processes in Sup-norm Metrics." Ann. Probab. 2 (4) 642 - 651, August, 1974. https://doi.org/10.1214/aop/1176996610

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Published: August, 1974
First available in Project Euclid: 19 April 2007

zbMATH: 0301.60007
MathSciNet: MR383486
Digital Object Identifier: 10.1214/aop/1176996610

Keywords: E20 , empirical process , F15 , G50 , G99 , sup-norm metric , weak convergence

Rights: Copyright © 1974 Institute of Mathematical Statistics

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Vol.2 • No. 4 • August, 1974
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