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The needlets bispectrum
Lan, Xiaohong1,2; Marinucci, Domenico1
2008
发表期刊ELECTRONIC JOURNAL OF STATISTICS
ISSN1935-7524
卷号2页码:332-367
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.
关键词Bispectrum Needlets Spherical Random Fields Cosmic Microwave Background Radiation High Resolution Asymptotics
DOI10.1214/08-EJS197
语种英语
资助项目Equal Opportunity Committee of the University of Rome Tor Vergata
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000207854400014
出版者INST MATHEMATICAL STATISTICS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/5914
专题中国科学院数学与系统科学研究院
通讯作者Lan, Xiaohong
作者单位1.Univ Roma Tor Vergata, Dept Math, Rome, Italy
2.Chinese Acad Sci, Inst Math, Beijing 100864, Peoples R China
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GB/T 7714
Lan, Xiaohong,Marinucci, Domenico. The needlets bispectrum[J]. ELECTRONIC JOURNAL OF STATISTICS,2008,2:332-367.
APA Lan, Xiaohong,&Marinucci, Domenico.(2008).The needlets bispectrum.ELECTRONIC JOURNAL OF STATISTICS,2,332-367.
MLA Lan, Xiaohong,et al."The needlets bispectrum".ELECTRONIC JOURNAL OF STATISTICS 2(2008):332-367.
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