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.
2009
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.aos/1250515390
Baldi, P., Kerkyacharian, G., Marinucci, D., Picard, D. (2009). Adaptive Density Estimation for Directional Data Using Needlets. ANNALS OF STATISTICS, 37, 3362-3395.
Baldi, P; Kerkyacharian, G; Marinucci, D; Picard, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/26327
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