2008/01/01 by Xiaohong Lan, Domenico Marinucci
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph #math.ST #msc:60B15 #msc:60G60 #msc:62G20 #msc:62M15 #stat.TH
paper · pdf · doi:10.1214/08-ejs197
published as Electronic Journal of Statistics 2008, Vol. 2, 332-367 · Published in at http://dx.doi.org/10.1214/08-EJS197 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
openalex publication_date 2008/01/01 · arxiv created 2008/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is to join two different threads of the recent literature on random fields on the sphere, namely the statistical analysis of higher order angular power spectra on one hand, and the construction of second-generation wavelets on the sphere on the other. To this aim, we introduce the needlets bispectrum and we derive a number of convergence results. Here, the limit theory is developed in the high resolution sense. The leading motivation of these results is the need for statistical procedures for searching non-Gaussianity in Cosmic Microwave Background radiation.