Open Access
September, 1990 The Unfathomable Influence of Kolmogorov
Nikolai N. Chentsov
Ann. Statist. 18(3): 987-998 (September, 1990). DOI: 10.1214/aos/1176347735

Abstract

A. N. Kolmogorov contributed much to mathematical statistics, both through his own statistical works and through the researches of his students and disciples in statistics. But the case will be made that he influenced statistics still more through his general mathematical concepts and approaches. This paper gives some examples of unexpected applications of Kolmogorov's ideas in topics of nonparametric statistics.

Citation

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Nikolai N. Chentsov. "The Unfathomable Influence of Kolmogorov." Ann. Statist. 18 (3) 987 - 998, September, 1990. https://doi.org/10.1214/aos/1176347735

Information

Published: September, 1990
First available in Project Euclid: 12 April 2007

zbMATH: 0705.62004
MathSciNet: MR1062694
Digital Object Identifier: 10.1214/aos/1176347735

Subjects:
Primary: 01A60
Secondary: 62G99

Keywords: Density estimation , Kolmogorov width , Kolmogorov-Smirnov test , statistical point estimation problem

Rights: Copyright © 1990 Institute of Mathematical Statistics

Vol.18 • No. 3 • September, 1990
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