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.
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D. (2009). ADAPTIVE DENSITY ESTIMATION FOR DIRECTIONAL DATA USING NEEDLETS. ANNALS OF STATISTICS, 37, 3362-3395 [10.1214/09-AOS682].
ADAPTIVE DENSITY ESTIMATION FOR DIRECTIONAL DATA USING NEEDLETS
BALDI, PAOLO;MARINUCCI, DOMENICO;
2009-01-01
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.File in questo prodotto:
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