An empirical Bayes approach to directional data and efficient computation on the sphere

DOI10.1214/aos/1033066208zbMath0856.62010OpenAlexW1986136110MaRDI QIDQ1922405

Peter T. Kim, Dennis M. jun. Healy

Publication date: 24 February 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1033066208

zbMATH Keywords

Fourier analysisfast Fourier transformspherical harmonicsLegendre transformdirectional dataconsistency resultsprior densitynon-Euclideannonparametric empirical Bayes estimator

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric estimation (62G05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Numerical methods for discrete and fast Fourier transforms (65T50) Empirical decision procedures; empirical Bayes procedures (62C12)

Related Items (15)

Application of fast spherical Fourier transform to density estimation ⋮ Directional mixture models and optimal estimation of the mixing density ⋮ Modified Pólya-Gamma data augmentation for Bayesian analysis of directional data ⋮ Hoffmann-Jørgensen inequalities for random walks on the cone of positive definite matrices ⋮ Adaptive estimation in the nonparametric random coefficients binary choice model by needlet thresholding ⋮ Asymptotic Behavior of the Kernel Density Estimator from a Geometric Viewpoint ⋮ Intrinsic Regression Models for Medial Representation of Subcortical Structures ⋮ FFTs on the rotation group ⋮ Kernel density estimation on Riemannian manifolds ⋮ Density estimators of Gaussian type on closed Riemannian manifolds ⋮ Deconvolution density estimation on \(\text{SO}(N)\) ⋮ Nonparametric recursive regression estimation on Riemannian manifolds ⋮ Adaptive density estimation for directional data using needlets ⋮ Optimal spherical deconvolution ⋮ Multivariate Bayesian function estimation

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