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.
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D. (2009). Adaptive Density Estimation for Directional Data Using Needlets. ANNALS OF STATISTICS, 37, 3362-3395.
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 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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