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.
Publié le : 2009-12-15
Classification:
Density estimation,
spherical and directional data,
thresholding,
needlets,
62G07,
62G20,
65T60
@article{1250515390,
author = {Baldi, P. and Kerkyacharian, G. and Marinucci, D. and Picard, D.},
title = {Adaptive density estimation for directional data using needlets},
journal = {Ann. Statist.},
volume = {37},
number = {1},
year = {2009},
pages = { 3362-3395},
language = {en},
url = {http://dml.mathdoc.fr/item/1250515390}
}
Baldi, P.; Kerkyacharian, G.; Marinucci, D.; Picard, D. Adaptive density estimation for directional data using needlets. Ann. Statist., Tome 37 (2009) no. 1, pp. 3362-3395. http://gdmltest.u-ga.fr/item/1250515390/