Second-order and local characteristics of network intensity functions

Matthias Eckardt () and Jorge Mateu
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Matthias Eckardt: Humboldt Universität zu Berlin
Jorge Mateu: University Jaume I

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2021, vol. 30, issue 2, No 2, 318-340

Abstract: Abstract The last decade has witnessed an increase of interest in the spatial analysis of structured point patterns over networks whose analysis is challenging because of geometrical complexities and unique methodological problems. In this context, it is essential to incorporate the network specificity into the analysis as the locations of events are restricted to areas covered by line segments. Relying on concepts originating from graph theory, we extend the notions of first-order network intensity functions to second-order and local network intensity functions. We consider two types of local indicators of network association functions which can be understood as adaptations of the primary ideas of local analysis on the plane. We develop the nodewise and cross-hierarchical type of local functions. A real data set on urban disturbances is also presented.

Keywords: Graphs; Local indicators of spatial network association; Network intensity functions; Second-order analysis; Partially directed networks; 62H11; 91D25; 62Rxx (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11749-020-00720-4

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