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Minimax Nonparametric Estimation on Maxisets. / Ermakov, M.
в: Journal of Mathematical Sciences (United States), Том 244, № 5, 01.02.2020, стр. 779-788.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Minimax Nonparametric Estimation on Maxisets
AU - Ermakov, M.
N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/2/1
Y1 - 2020/2/1
N2 - We study nonparametric estimation of a signal in Gaussian white noise on maxisets. We point out minimax estimators in the class of all linear estimators and strong asymptotically minimax estimators in the class of all estimators. We show that balls in Sobolev spaces are maxisets for the Pinsker estimators.
AB - We study nonparametric estimation of a signal in Gaussian white noise on maxisets. We point out minimax estimators in the class of all linear estimators and strong asymptotically minimax estimators in the class of all estimators. We show that balls in Sobolev spaces are maxisets for the Pinsker estimators.
UR - http://www.scopus.com/inward/record.url?scp=85077710393&partnerID=8YFLogxK
U2 - 10.1007/s10958-020-04651-1
DO - 10.1007/s10958-020-04651-1
M3 - Article
AN - SCOPUS:85077710393
VL - 244
SP - 779
EP - 788
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 71600758