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A review on anisotropy analysis of spatial point patterns
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- Rajala, Tuomas (author)
- University College London (UCL)
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- Redenbach, Claudia (author)
- Technische Universität Kaiserslautern
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- Särkkä, Aila, 1962 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- (creator_code:org_t)
- Elsevier BV, 2018
- 2018
- English.
- In: Spatial Statistics. - : Elsevier BV. - 2211-6753. ; 28, s. 141-168
- Research review (peer-reviewed)
Abstract
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- 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 ℝ2 andℝ3. 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, we discuss methods for testing for isotropy as well as for estimating preferred directions in a point pattern.
Subject headings
- SAMHÄLLSVETENSKAP -- Social och ekonomisk geografi -- Ekonomisk geografi (hsv//swe)
- SOCIAL SCIENCES -- Social and Economic Geography -- Economic Geography (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Wavelets
- Spectral analysis
- Second-order characteristics
- Fry plot
- Spatial summary statistics
- Fry plot
- Second-order characteristics
- Spatial summary statistics
- Spectral analysis
- Wavelets
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- University of Gothenburg
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