Consistency of a needlet spectral estimator on the sphere
Faÿ, Gilles ; Guilloux, Frédéric
arXiv, 0807.2162 / Harvested from arXiv
Text on arXiv
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 (Fa\"{y} 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.
Publié le : 2008-07-14
Classification:  Mathematics - Statistics Theory 
@article{0807.2162,
     author = {Fa\"y, Gilles and Guilloux, Fr\'ed\'eric},
     title = {Consistency of a needlet spectral estimator on the sphere},
     journal = {arXiv},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0807.2162}
}

Faÿ, Gilles; Guilloux, Frédéric. Consistency of a needlet spectral estimator on the sphere. arXiv, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/0807.2162/