Spin needlets spectral estimation

doi:10.1214/09-EJS448

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	Spin needlets spectral estimation
	Geller, Daryl 1; Lan, Xiaohong 2,3
	2009
发表期刊	ELECTRONIC JOURNAL OF STATISTICS
ISSN	1935-7524
卷号	3 页码:1497-1530
摘要	We consider the statistical analysis of random sections of a spin fibre bundle over the sphere. These may be thought of as random fields that at each point p is an element of S-2 take as a value a curve (e.g. an ellipse) living in the tangent plane at that point TpS2, rather than a number as in ordinary situations. The analysis of such fields is strongly motivated by applications, for instance polarization experiments in Cosmology. To investigate such fields, spin needlets were recently introduced by [21] and [20]. We consider the use of spin needlets for spin angular power spectrum estimation, in the presence of noise and missing observations, and we provide Central Limit Theorem results, in the high frequency sense; we discuss also tests for bias and asymmetries with an asymptotic justification.
关键词	Spin random fields spin needlets CMB polarization angular power spectrum estimation fibre bundles
DOI	10.1214/09-EJS448
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000207855300027
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/9045
专题	中国科学院数学与系统科学研究院
通讯作者	Geller, Daryl
作者单位	1.SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA 2.Univ Roma Tor Vergata, Dept Math, Rome, Italy 3.Chinese Acad Sci, Inst Math, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Geller, Daryl,Lan, Xiaohong. Spin needlets spectral estimation[J]. ELECTRONIC JOURNAL OF STATISTICS,2009,3:1497-1530.
APA	Geller, Daryl,&Lan, Xiaohong.(2009).Spin needlets spectral estimation.ELECTRONIC JOURNAL OF STATISTICS,3,1497-1530.
MLA	Geller, Daryl,et al."Spin needlets spectral estimation".ELECTRONIC JOURNAL OF STATISTICS 3(2009):1497-1530.