Open Access
December 2009 Adaptive density estimation for directional data using needlets
P. Baldi, G. Kerkyacharian, D. Marinucci, D. Picard
Ann. Statist. 37(6A): 3362-3395 (December 2009). DOI: 10.1214/09-AOS682


This paper is concerned with density estimation of directional data on the sphere. We introduce a procedure based on thresholding on a new type of spherical wavelets called needlets. We establish a minimax result and prove its optimality. We are motivated by astrophysical applications, in particular in connection with the analysis of ultra high-energy cosmic rays.


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P. Baldi. G. Kerkyacharian. D. Marinucci. D. Picard. "Adaptive density estimation for directional data using needlets." Ann. Statist. 37 (6A) 3362 - 3395, December 2009.


Published: December 2009
First available in Project Euclid: 17 August 2009

zbMATH: 1369.62061
MathSciNet: MR2549563
Digital Object Identifier: 10.1214/09-AOS682

Primary: 62G07
Secondary: 62G20 , 65T60

Keywords: Density estimation , Needlets , spherical and directional data , thresholding

Rights: Copyright © 2009 Institute of Mathematical Statistics

Vol.37 • No. 6A • December 2009
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