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| HAL : hal-00296576, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (12-07-2008) | v2 (04-11-2008) |
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| Spectral estimation on the sphere with needlets: high frequency asymptotics |
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| Gilles Fay1, 2Frédéric Guilloux1, 3, 4 |
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| (07/2008) |
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| The angular power spectrum of a stationary random field on the sphere is estimated from the needlet coefficients of a single realization, observed with increasingly fine resolution. The estimator we consider is similar to the one recently used in practice by (Faÿ et al. 2008) to estimate the power spectrum of the Cosmic Microwave Background. The consistency of the estimator, in the asymptotics of high frequencies, is proved for a model with a stationary Gaussian field corrupted by heteroscedastic noise and missing data. |
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| 1 : | APC - AstroParticule et Cosmologie |
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| 2 : | LPP - Laboratoire Paul Painlevé |
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| 3 : | LPMA - Laboratoire de Probabilités et Modèles Aléatoires |
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| 4 : | MODAL'X - Modélisation aléatoire de Paris X |
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| Domaine | : | Statistiques/Méthodologie Statistiques/Applications |
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| Spherical random fields – Angular power spectrum estimation – High resolution asymptotics – Spherical wavelets – Needlets – Cosmic Microwave Background |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00296576, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00296576 | |
| oai:hal.archives-ouvertes.fr:hal-00296576 | |
| Contributeur : Frédéric Guilloux | |
| Soumis le : Samedi 12 Juillet 2008, 11:01:45 | |
| Dernière modification le : Lundi 3 Novembre 2008, 18:25:49 | |
