On Density Estimation in the View of Kolmogorov's Ideas in Approximation Theory

Rafael Hasminskii; Ildar Ibragimov

doi:10.1214/aos/1176347736

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Home > Journals > Ann. Statist. > Volume 18 > Issue 3 > Article

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

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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.

Hasminskii and Ibragimov: On Density Estimation in the View of Kolmogorov's Ideas in Approximation Theory

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

Published: September, 1990

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Ann. Statist.

Vol.18 • No. 3 • September, 1990

Institute of Mathematical Statistics

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Rafael Hasminskii, Ildar Ibragimov "On Density Estimation in the View of Kolmogorov's Ideas in Approximation Theory," The Annals of Statistics, Ann. Statist. 18(3), 999-1010, (September, 1990)

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