Subsampling Needlet Coefficients on the Sphere

Abstract : In a recent paper, we analyzed the properties of a new kind of spherical wavelets (so-called needlets) for statistical inference procedures on spherical random fields; the results were mainly motivated by applications to cosmological data. In the present work, we exploit the asymptotic uncorrelation of random needlet coefficients at fixed angular distances to construct subsampling statistics evaluated on Voronoi cells on the sphere. We illustrate how such statistics can be used for isotropy tests and for bootstrap estimation of nuisance parameters, even when a single realization of the spherical random field is observed. The asymptotic theory is developed in details, in the high resolution sense.
Document type :
Preprints, Working Papers, ...
25 pages; submitted for publication. 2007
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Contributor : Baldi Paolo <>
Submitted on : Friday, December 7, 2007 - 1:32:04 PM
Last modification on : Thursday, March 16, 2017 - 1:07:39 AM


  • HAL Id : hal-00194752, version 1
  • ARXIV : 0706.4169



Paolo Baldi, Gerard Kerkyacharian, Domenico Marinucci, Dominique Picard. Subsampling Needlet Coefficients on the Sphere. 25 pages; submitted for publication. 2007. <hal-00194752>



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