On the dependence structure of wavelet coefficients for spherical random fields
文献类型：期刊论文
| 作者 | Lan, Xiaohong1,2; Marinucci, Domenico1 |
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 119期号:10页码:3749-3766 |
| 关键词 | Spherical random fields Wavelets Mexican needlets High frequency asymptotics Cosmic microwave background radiation |
| ISSN号 | 0304-4149 |
| DOI | 10.1016/j.spa.2009.07.005 |
| 英文摘要 | We consider the correlation structure of the random coefficients for a class of wavelet systems on the sphere (labelled Mexican needlets) which was recently introduced in the literature by [D. Geller, A. Mayeli, Nearly tight frames and space-frequency analysis on compact manifolds, Preprint, 2007. arxiv:0706.3642v2]. We provide necessary and sufficient conditions for these coefficients to be asymptotically uncorrelated in the real and in the frequency domain. Here, the asymptotic theory is developed in the high frequency sense. Statistical applications are also discussed, in particular with reference to the analysis of cosmological data. (C) 2009 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270637500029 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9031]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Marinucci, Domenico |
| 作者单位 | 1.Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy 2.Chinese Acad Sci, Inst Math, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lan, Xiaohong,Marinucci, Domenico. On the dependence structure of wavelet coefficients for spherical random fields[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2009,119(10):3749-3766. |
| APA | Lan, Xiaohong,&Marinucci, Domenico.(2009).On the dependence structure of wavelet coefficients for spherical random fields.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,119(10),3749-3766. |
| MLA | Lan, Xiaohong,et al."On the dependence structure of wavelet coefficients for spherical random fields".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 119.10(2009):3749-3766. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。