Upper functions for positive random functionals. II. Application to the empirical processes theory. I

DOI10.3103/S1066530713020014zbMath1278.60039MaRDI QIDQ359863

O. V. Lepskij

Publication date: 23 August 2013

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

empirical processesmetric entropyupper function

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Inequalities; stochastic orderings (60E15)

Related Items (7)

Upper functions for \(\mathbb{L}_{p}\)-norms of Gaussian random fields ⋮ Upper functions for positive random functionals. II: Application to the empirical processes theory, Part 2 ⋮ Pointwise adaptive estimation of a multivariate density under independence hypothesis ⋮ Estimator selection: a new method with applications to kernel density estimation ⋮ A new approach to estimator selection ⋮ Adaptive invariant density estimation for ergodic diffusions over anisotropic classes ⋮ Concentration of scalar ergodic diffusions and some statistical implications

Cites Work

• Upper functions for positive random functionals. I: General setting and Gaussian random functions
• Additive regression and other nonparametric models

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