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2008 The needlets bispectrum
Xiaohong Lan, Domenico Marinucci
Electron. J. Statist. 2: 332-367 (2008). DOI: 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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Xiaohong Lan. Domenico Marinucci. "The needlets bispectrum." Electron. J. Statist. 2 332 - 367, 2008.


Published: 2008
First available in Project Euclid: 20 May 2008

zbMATH: 1320.62106
MathSciNet: MR2411439
Digital Object Identifier: 10.1214/08-EJS197

Primary: 62G20
Secondary: 60B15 , 60G60 , 62M15

Keywords: bispectrum , Cosmic Microwave Background radiation , High Resolution Asymptotics , Needlets , Spherical random fields

Rights: Copyright © 2008 The Institute of Mathematical Statistics and the Bernoulli Society


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