Consistency of a needlet spectral estimator on the sphere
Statistics Theory
2008-07-15 v1 Statistics Theory
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 (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.
Cite
@article{arxiv.0807.2162,
title = {Consistency of a needlet spectral estimator on the sphere},
author = {Gilles Faÿ and Frédéric Guilloux},
journal= {arXiv preprint arXiv:0807.2162},
year = {2008}
}
Comments
Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)