On estimation of \(L_r\)-norms in Gaussian white noise models

DOI10.1007/s00440-020-00982-xzbMath1445.62072arXiv1710.03863OpenAlexW2762559060MaRDI QIDQ783806

Rajarshi Mukherjee, Jiantao Jiao, Yanjun Han

Publication date: 4 August 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03863

zbMATH Keywords

polynomial approximationBesov spacesminimax ratesnon-smooth functional estimationrational function approximation

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Functional data analysis (62R10) White noise theory (60H40) Approximation by polynomials (41A10) Besov spaces and (Q_p)-spaces (30H25)

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