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Graphical modelling and partial characteristics for multitype and multivariate-marked spatio-temporal point processes

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 نشر من قبل Matthias Eckardt
 تاريخ النشر 2020
  مجال البحث الاحصاء الرياضي
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This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a unified framework for different types of spatio-temporal data including both, purely qualitatively (multivariate) cases and multivariate cases with additional quantitative marks. The proposed graphical model is defined through partial spectral density characteristics, it is highly computationally efficient and reflects the conditional similarity among sets of spatio-temporal sub-processes of either points or marked points with identical discrete marks. The paper considers three applications, two on crime data and a third one on forestry.



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