globalchange  > 过去全球变化的重建
DOI: 10.1371/journal.pone.0118537
论文题名:
Confidence Analysis of Standard Deviational Ellipse and Its Extension into Higher Dimensional Euclidean Space
作者: Bin Wang; Wenzhong Shi; Zelang Miao
刊名: PLOS ONE
ISSN: 1932-6203
出版年: 2015
发表日期: 2015-3-13
卷: 10, 期:3
语种: 英语
英文关键词: Covariance ; Ellipses ; Geographic distribution ; Algorithms ; H1N1 ; Ellipsoids ; Normal distribution ; Geographic information systems
英文摘要: Standard deviational ellipse (SDE) has long served as a versatile GIS tool for delineating the geographic distribution of concerned features. This paper firstly summarizes two existing models of calculating SDE, and then proposes a novel approach to constructing the same SDE based on spectral decomposition of the sample covariance, by which the SDE concept is naturally generalized into higher dimensional Euclidean space, named standard deviational hyper-ellipsoid (SDHE). Then, rigorous recursion formulas are derived for calculating the confidence levels of scaled SDHE with arbitrary magnification ratios in any dimensional space. Besides, an inexact-newton method based iterative algorithm is also proposed for solving the corresponding magnification ratio of a scaled SDHE when the confidence probability and space dimensionality are pre-specified. These results provide an efficient manner to supersede the traditional table lookup of tabulated chi-square distribution. Finally, synthetic data is employed to generate the 1-3 multiple SDEs and SDHEs. And exploratory analysis by means of SDEs and SDHEs are also conducted for measuring the spread concentrations of Hong Kong’s H1N1 in 2009.
URL: http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0118537&type=printable
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/21625
Appears in Collections:过去全球变化的重建
影响、适应和脆弱性
科学计划与规划
气候变化与战略
全球变化的国际研究计划
气候减缓与适应
气候变化事实与影响

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作者单位: Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

Recommended Citation:
Bin Wang,Wenzhong Shi,Zelang Miao. Confidence Analysis of Standard Deviational Ellipse and Its Extension into Higher Dimensional Euclidean Space[J]. PLOS ONE,2015-01-01,10(3)
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