The needlets bispectrum

被引：37

作者：

Lan, Xiaohong ^{[1
,2
]}

Marinucci, Domenico ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dept Math, Rome, Italy

[2] Chinese Acad Sci, Inst Math, Beijing 100864, Peoples R China

来源：

ELECTRONIC JOURNAL OF STATISTICS | 2008年 / 2卷

关键词：

Bispectrum; Needlets; Spherical Random Fields; Cosmic Microwave Background Radiation; High Resolution Asymptotics;

D O I：

10.1214/08-EJS197

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：332 / 367

页数：36

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