Second-order and local characteristics of network intensity functions
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Matthias Eckardt [1] ; Jorge Mateu [2]
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[1] Department of Computer Science, Humboldt Universität zu Berlin, Berlin, Germany
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[2] Department of Mathematics, University Jaume I, Castellón, Spain
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- Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 30, Nº. 2, 2021, págs. 318-340
- Idioma: inglés
- DOI: 10.1007/s11749-020-00720-4
- Texto completo no disponible (Saber más ...)
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Resumen
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.
