Spectral estimation on the sphere with needlets: high frequency asymptotics

G. Faÿ 1 F. Guilloux 1, *
* Auteur correspondant
1 APC-Gravitation - APC - Gravitation
APC - UMR 7164 - AstroParticule et Cosmologie, Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
Abstract : 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.
Type de document :
Article dans une revue
Statistical Inference for Stochastic Processes, Springer Verlag, 2011, 14 (1), pp.1-25. <10.1007/s11203-010-9050-y>


https://hal.archives-ouvertes.fr/hal-00296576
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Soumis le : lundi 3 novembre 2008 - 23:02:08
Dernière modification le : mercredi 12 octobre 2016 - 01:28:02

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G. Faÿ, F. Guilloux. Spectral estimation on the sphere with needlets: high frequency asymptotics. Statistical Inference for Stochastic Processes, Springer Verlag, 2011, 14 (1), pp.1-25. <10.1007/s11203-010-9050-y>. <hal-00296576v2>

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