| Domaine : |
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| Titre : |
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Spectral estimation on the sphere with needlets: high frequency asymptotics |
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| Auteur(s) : |
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G. Faÿ ( ,  )1, 2, 3, F. Guilloux (, )1, 4, 5, 6 |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - Adamis |
| Résumé : |
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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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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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07/2008 |
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| Journal : |
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| Statistical Inference for Stochastic Processes |
| Publisher |
Springer Verlag (Germany) |
| ISSN |
1387-0874 (eISSN : 1572-9311) |
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| Audience : |
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internationale |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Date de publication : |
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18/01/2011 |
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| Volume : |
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14 |
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| Numéro : |
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1 |
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| Page, identifiant, ... : |
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1-25 |
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| Mots Clés : |
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Spherical random fields – Angular power spectrum estimation – High resolution asymptotics – Spherical wavelets – Needlets – Cosmic Microwave Background |
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| Classification : |
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AMS2000: 62M15; 62M40; 62P35; 62G20 |
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