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Second-order analysis of marked inhomogeneous spatio-temporal point processes: applications to earthquake data
Department of Biosciences and Nutrition, Karolinska Institutet, Stockholm, Sweden.ORCID-id: 0000-0001-8117-3461
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.ORCID-id: 0000-0002-6721-8608
Department of Statistics and Operations Research, University of Valencia, Valencia, Spain.
2019 (engelsk)Inngår i: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 46, nr 3, s. 661-685Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

To analyse interactions in marked spatio-temporal point processes (MSTPPs), we introduce marked second-order reduced moment measures and K-functions for inhomogeneous second-order intensity reweighted stationary MSTPPs. These summary statistics, which allow us to quantify dependence between different mark-based classifications of the points, are depending on the specific mark space and mark reference measure chosen. Unbiased and consistent minus-sampling estimators are derived for all statistics considered and a test for random labelling is indicated. In addition, we treat Voronoi intensity estimators for MSTPPs. These new statistics are finally employed to analyse an Andaman sea earthquake data set.

sted, utgiver, år, opplag, sider
2019. Vol. 46, nr 3, s. 661-685
Emneord [en]
adaptive intensity estimation, earthquakes, marked inhomogeneous spatiotemporal point process, marked (second-order) intensity-reweighted stationarity, marked spatiotemporal K-function, marked spatiotemporal second-order reduced moment measure
HSV kategori
Forskningsprogram
matematisk statistik
Identifikatorer
URN: urn:nbn:se:umu:diva-153405DOI: 10.1111/sjos.12367ISI: 000479058100001Scopus ID: 2-s2.0-85058939400OAI: oai:DiVA.org:umu-153405DiVA, id: diva2:1264175
Tilgjengelig fra: 2018-11-19 Laget: 2018-11-19 Sist oppdatert: 2023-03-24bibliografisk kontrollert

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