Spin needlets spectral estimation
文献类型：期刊论文
| 作者 | Geller, Daryl1; Lan, Xiaohong2,3 |
| 刊名 | ELECTRONIC JOURNAL OF STATISTICS
 |
| 出版日期 | 2009 |
| 卷号 | 3页码:1497-1530 |
| 关键词 | Spin random fields spin needlets CMB polarization angular power spectrum estimation fibre bundles |
| ISSN号 | 1935-7524 |
| DOI | 10.1214/09-EJS448 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000207855300027 |
| 出版者 | INST MATHEMATICAL STATISTICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9044]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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