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arXiv · 0807.5059

Adaptive density estimation for directional data using needlets

P. Baldi·G. Kerkyacharian·D. Marinucci·D. Picard
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Abstract

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 {\it 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. 2008-07-31. Adaptive density estimation for directional data using needlets. https://arxiv.org/abs/0807.5059

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