Asymptotic Minimax Risk for the White Noise Model on the Sphere

DOI10.1111/1467-9469.00160zbMath0939.62092OpenAlexW2155418577MaRDI QIDQ4956047

Jussi Klemelä

Publication date: 24 May 2000

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9469.00160

zbMATH Keywords

Sobolev spacesregressionHoelder classesminimax risk boundsrandom fields on spheres

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (7)

Weyl eigenvalue asymptotics and sharp adaptation on vector bundles ⋮ Recent advances in directional statistics ⋮ Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds ⋮ Sharp adaptation for spherical inverse problems with applications to medical imaging ⋮ Adaptive density estimation for directional data using needlets ⋮ Lower bounds for the asymptotic minimax risk with spherical data ⋮ Multivariate Bayesian function estimation

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