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Some edge correction methods for marked spatio-temporal point process models
Mathematical Sciences, Chalmers University of Technology and University of Gothenburg.ORCID-id: 0000-0002-6721-8608
Mathematical Sciences, Chalmers University of Technology and University of Gothenburg.ORCID-id: 0000-0003-4115-6530
2011 (Engelska)Ingår i: Computational Statistics & Data Analysis, ISSN 0167-9473, E-ISSN 1872-7352, Vol. 55, nr 7, s. 2209-2220Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Three edge correction methods for (marked) spatio-temporal point processes are proposed. They are all based on the idea of placing an approximated expected behaviour of the process at hand (simulated realisations) outside the study region which interacts with the data during the estimation. These methods are applied to the so-called growth-interaction model. The specific choices of growth function and interaction function made are purely motivated by the forestry applications considered. The parameters of the growth and interaction functions, i.e. the parameters related to the development of the marks, are estimated using the least-squares approach together with the proposed edge corrections. Finally, the edge corrected estimation methods are applied to a data set of Swedish Scots pine.

Ort, förlag, år, upplaga, sidor
Elsevier, 2011. Vol. 55, nr 7, s. 2209-2220
Nyckelord [en]
Edge correction, Forest data, Least squares estimation, Spatio-temporal marked point processes
Nationell ämneskategori
Sannolikhetsteori och statistik
Forskningsämne
statistik; matematisk statistik
Identifikatorer
URN: urn:nbn:se:umu:diva-144800DOI: 10.1016/j.csda.2011.01.022ISI: 000290081300001OAI: oai:DiVA.org:umu-144800DiVA, id: diva2:1182864
Tillgänglig från: 2018-02-14 Skapad: 2018-02-14 Senast uppdaterad: 2018-06-09Bibliografiskt granskad

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Förlagets fulltexthttps://www.sciencedirect.com/science/article/pii/S0167947311000417

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Cronie, OttmarSärkkä, Aila
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Computational Statistics & Data Analysis
Sannolikhetsteori och statistik

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