Adaptive density estimation for directional data using needlets
Statistics Theory
2010-04-30 v1 Astrophysics
Statistics Theory
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.
Cite
@article{arxiv.0807.5059,
title = {Adaptive density estimation for directional data using needlets},
author = {P. Baldi and G. Kerkyacharian and D. Marinucci and D. Picard},
journal= {arXiv preprint arXiv:0807.5059},
year = {2010}
}
Comments
30 pages, 9 figures