Families of Sample Means Converge Slowly

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December, 1977 Families of Sample Means Converge Slowly

J. Michael Steele

Ann. Probab. 5(6): 1036-1038 (December, 1977). DOI: 10.1214/aop/1176995672

Abstract

The uniform empirical integral differences of Sethuraman's large deviation theorem are proved to converge arbitrarily slowly.

J. Michael Steele. "Families of Sample Means Converge Slowly." Ann. Probab. 5 (6) 1036 - 1038, December, 1977. https://doi.org/10.1214/aop/1176995672

Published: December, 1977

First available in Project Euclid: 19 April 2007

MathSciNet: MR461636

Digital Object Identifier: 10.1214/aop/1176995672

Subjects:

Primary: 60F15

Secondary: 60F10, 62E20

Keywords: empirical measures, slow convergence, Uniform convergence

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Vol.5 • No. 6 • December, 1977

Institute of Mathematical Statistics