Spectral properties of the Neumann-Laplace operatorin quasiconformal regular domains; Contemporary Mathematics; Vol. 734 : Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Spectral properties of the Neumann-Laplace operatorin quasiconformal regular domains; Contemporary Mathematics; Vol. 734 : Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Bibliographic Details
Parent link:Contemporary Mathematics
Vol. 734 : Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial.— 2019.— [P. 129-144]
Main Author: Gol'dshtein V. A. Vladimir
Corporate Author: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Other Authors: Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Alexander Dadaroolovich
Summary:Title screen
In this paper, we develop the James-Stein improved method for the estimation problem of a nonparametric periodic function observed with Lévy noises in continuous time. An adaptive model selection procedure based on the weighted improved least squares estimates is constructed. The improvement effect for nonparametric models is studied. It turns out that in non-asymptotic setting the accuracy improvement for nonparametric models is more important than for parametric ones. Moreover, sharp oracle inequalities for the robust risks have been shown and the adaptive efficiency property for the proposed procedures has been established. The numerical simulations are given.
Language:English
Published: 2019
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://www.ams.org/books/conm/734/14768/conm734-14768.pdf
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664240

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