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September, 1990 On Density Estimation in the View of Kolmogorov's Ideas in Approximation Theory
Rafael Hasminskii, Ildar Ibragimov
Ann. Statist. 18(3): 999-1010 (September, 1990). DOI: 10.1214/aos/1176347736

Abstract

The paper deals with upper and lower bounds for the quality of (probability) density estimation. Connections are established between these problems and the theory of approximation of functions. Particularly, it is demonstrated how some of Kolmogorov's concepts work.

Citation

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Rafael Hasminskii. Ildar Ibragimov. "On Density Estimation in the View of Kolmogorov's Ideas in Approximation Theory." Ann. Statist. 18 (3) 999 - 1010, September, 1990. https://doi.org/10.1214/aos/1176347736

Information

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

zbMATH: 0705.62039
MathSciNet: MR1062695
Digital Object Identifier: 10.1214/aos/1176347736

Subjects:
Primary: 62G05

Rights: Copyright © 1990 Institute of Mathematical Statistics

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Vol.18 • No. 3 • September, 1990
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