Adaptive density estimation for directional data using needlets

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.
Type de document :
Pré-publication, Document de travail
30 pages, 9 figures. 2008
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00319968
Contributeur : Baldi Paolo <>
Soumis le : mardi 9 septembre 2008 - 17:59:29
Dernière modification le : lundi 29 mai 2017 - 14:25:36

Identifiants

  • HAL Id : hal-00319968, version 1
  • ARXIV : 0807.5059

Collections

PMA | INSMI | UPMC | USPC

Citation

P. Baldi, G. Kerkyacharian, D. Marinucci, D. Picard. Adaptive density estimation for directional data using needlets. 30 pages, 9 figures. 2008. 〈hal-00319968〉

Partager

Métriques

Consultations de la notice

141