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Problemy Peredachi Informatsii, 1986, Volume 22, Issue 2, Pages 69–84
(Mi ppi937)
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This article is cited in 1 scientific paper (total in 1 paper)
Methods for Signal Processing and Automata Theory
Robust Reconstruction of Functions by the Local-Approximation Method
A. B. Tsybakov
Abstract:
The author considers a local approximation method for reconstruction of functions on the basis of observation of their values in noise. Consistency conditions for the estimates of the local approximation are given, and their rate of convergence is established. The asymptotic distribution of the estimates is determined, and it is shown that they possess the property of being robust.
Received: 19.12.1983
Citation:
A. B. Tsybakov, “Robust Reconstruction of Functions by the Local-Approximation Method”, Probl. Peredachi Inf., 22:2 (1986), 69–84; Problems Inform. Transmission, 22:2 (1986), 133–146
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https://www.mathnet.ru/eng/ppi937 https://www.mathnet.ru/eng/ppi/v22/i2/p69
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