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February 1996 An empirical Bayes approach to directional data and efficient computation on the sphere
Dennis M. Healy Jr., Peter T. Kim
Ann. Statist. 24(1): 232-254 (February 1996). DOI: 10.1214/aos/1033066208

Abstract

This paper proposes a consistent nonparametric empirical Bayes estimator of the prior density for directional data. The methodology is to use Fourier analysis on $S^2$ to adapt Euclidean techniques to this non-Euclidean environment. General consistency results are obtained. In addition, a discussion of efficient numerical computation of Fourier transforms on $S^2$ is given, and their applications to the methods suggested in this paper are sketched.

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Dennis M. Healy Jr.. Peter T. Kim. "An empirical Bayes approach to directional data and efficient computation on the sphere." Ann. Statist. 24 (1) 232 - 254, February 1996. https://doi.org/10.1214/aos/1033066208

Information

Published: February 1996
First available in Project Euclid: 26 September 2002

zbMATH: 0856.62010
MathSciNet: MR1389889
Digital Object Identifier: 10.1214/aos/1033066208

Subjects:
Primary: 62G05
Secondary: 58G25

Rights: Copyright © 1996 Institute of Mathematical Statistics

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Vol.24 • No. 1 • February 1996
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