The needlets bispectrum

Details The needlets bispectrum The needlets bispectrum

2008-02-27

arxiv.org/abs/0802.4020v2

Electronic Journal of Statistics 2008, Vol. 2, 332-367

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/08-EJS197 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by t

Scientific paper

10.1214/08-EJS197

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.

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