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A third order point...
A third order point process characteristic for multi-type point processes
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- Comas, Carles (author)
- Universidad Jaume I
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- Mateu, Jorge (author)
- Chalmers tekniska högskola,Chalmers University of Technology,Universidad Jaume I
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- Särkkä, Aila, 1962 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics
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(creator_code:org_t)
- Wiley, 2010
- 2010
- English.
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In: Statistica Neerlandica. - : Wiley. - 0039-0402 .- 1467-9574. ; 64:1, s. 19-44
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Abstract
Subject headings
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- The description and analysis of spatial point patterns have mainly been based on first- and second-order characteristics. However, and especially when analyzing complex and multivariate point patterns, the use of higher-order characteristics would be more informative. In this paper, we introduce a third-order characteristic for multi-type point processes, which is based on the number of r-close triples of points, where the three points are of three different types (species). This characteristic is useful, when the second-order characteristics indicate that the three point patterns are pairwise uncorrelated but there is some relationship between triples of points. Furthermore, we conjecture that the new statistic can be used to test independence between the three point processes.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- Multivariate point processes
- Third order characteristic
- Correlation measures
- Ripley's K function
- Correlation measures; Multivariate point processes; Ripley's K function; Third order characteristic
Publication and Content Type
- art (subject category)
- ref (subject category)
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