Optimal spherical deconvolution

DOI10.1006/jmva.2000.1968zbMath0998.62030OpenAlexW2053879002MaRDI QIDQ1599065

Ja-Yong Koo, Peter T. Kim

Publication date: 28 November 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.2000.1968

zbMATH Keywords

smoothminimaxSobolev spacesconsistencyvon Mises-Fisher distributionspherical harmonicsrotational harmonicsRosenthal distributionsuper-smooth

Mathematics Subject Classification ID

Density estimation (62G07) Calculus on manifolds; nonlinear operators (58C99) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (23)

Sharp minimaxity and spherical deconvolution for super-smooth error distributions ⋮ Deconvolution with unknown error distribution ⋮ Weyl eigenvalue asymptotics and sharp adaptation on vector bundles ⋮ Adaptive global thresholding on the sphere ⋮ Reconstructing a function on the sphere from its means along vertical slices ⋮ Recent advances in directional statistics ⋮ Application of second generation wavelets to blind spherical deconvolution ⋮ Mixed needlets ⋮ Adaptive circular deconvolution by model selection under unknown error distribution ⋮ Blockwise SVD with error in the operator and application to blind deconvolution ⋮ Needlet-Whittle estimates on the unit sphere ⋮ Adaptive nonparametric regression on spin fiber bundles ⋮ Gaussian semiparametric estimates on the unit sphere ⋮ Goodness-of-fit test for noisy directional data ⋮ Sharp adaptation for spherical inverse problems with applications to medical imaging ⋮ Localized spherical deconvolution ⋮ Lasso estimation for spherical autoregressive processes ⋮ Density estimation on an unknown submanifold ⋮ Supersmooth testing on the sphere over analytic classes ⋮ Needlets Estimation in Cosmology and Astrophysics ⋮ Nonparametric regression on Lie groups with measurement errors ⋮ Block thresholding on the sphere ⋮ Multivariate Bayesian function estimation

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