Spectral properties of the Neumann-Laplace operatorin quasiconformal regular domains

Spectral properties of the Neumann-Laplace operatorin quasiconformal regular domains

Bibliografiska uppgifter
Parent link:Contemporary Mathematics
Vol. 734 : Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial.— 2019.— [P. 129-144]
Huvudupphovsman: Gol'dshtein V. A. Vladimir
Institutionell upphovsman: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Övriga upphovsmän: Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Alexander Dadaroolovich
Sammanfattning: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.
Språk:engelska
Publicerad: 2019
Ämnen:
электронный ресурс
труды учёных ТПУ
Länkar:http://www.ams.org/books/conm/734/14768/conm734-14768.pdf
Materialtyp: Elektronisk Bokavsnitt
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664240

Liknande verk

Liknande verk