A review on anisotropy analysis of spatial point patterns

A review on anisotropy analysis of spatial point patterns
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DOI:
10.1016/j.spasta.2018.04.005
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发表时间:
2018-12-01
期刊:
影响因子:
2.3
通讯作者:
Sormani, M.
Sormani, M.
中科院分区:
数学3区
文献类型:
--
作者:
Rajala, T.;Redenbach, C.;Sormani, M.

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如果空间点模式的空间结构依赖于方向,则称空间点模式为各向异性。文献中介绍了几种各向异性分析方法。在本文中,我们给出了一个概述的非参数方法的各向异性分析的(固定)点模式在R-2和R-3。我们讨论的方法的基础上最近的邻居和二阶汇总统计,以及频谱和小波分析。所有的技术都说明了集群和一个常规的例子。最后,我们讨论的方法测试各向同性以及估计首选方向的点模式。(C)2018 Elsevier B. V.版权所有。
A spatial point pattern is called anisotropic if its spatial structure depends on direction. Several methods for anisotropy analysis have been introduced in the literature. In this paper, we give an overview of nonparametric methods for anisotropy analysis of (stationary) point patterns in R-2 and R-3. We discuss methods based on nearest neighbour and second order summary statistics as well as spectral and wavelet analysis. All techniques are illustrated on both a clustered and a regular example. Finally, wediscuss methods for testing for isotropy as well as for estimating preferred directions in a point pattern. (C) 2018 Elsevier B.V. All rights reserved.