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May, 1981 On Trigonometric Series Estimates of Densities
Peter Hall
Ann. Statist. 9(3): 683-685 (May, 1981). DOI: 10.1214/aos/1176345474

Abstract

It is pointed out that several results due to Walter and Blum do not hold strictly as they are stated. We find expansions for the mean square errors and mean integrated square errors of trigonometric series estimates of densities, and use them to compare the efficiencies of the estimates.

Citation

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Peter Hall. "On Trigonometric Series Estimates of Densities." Ann. Statist. 9 (3) 683 - 685, May, 1981. https://doi.org/10.1214/aos/1176345474

Information

Published: May, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0484.62057
MathSciNet: MR615446
Digital Object Identifier: 10.1214/aos/1176345474

Subjects:
Primary: 62G05

Keywords: density estimate , Dirichlet kernel , Fejer kernel , Fourier series , Mean square error

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 3 • May, 1981
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