论文标题
多元和多元标记时空点过程的图形建模和部分特征
Graphical modelling and partial characteristics for multitype and multivariate-marked spatio-temporal point processes
论文作者
论文摘要
本文通过引入不同的部分点特征并扩展空间依赖图模型形式，对标记时空点过程数据进行了多元分析。我们的方法为不同类型的时空数据提供了一个统一的框架，包括纯粹是定性（多元）情况和具有额外定量标记的多元案例。提出的图形模型是通过部分光谱密度特性来定义的，它在高度计算上是有效的，并且反映了两种点或具有相同离散标记的点点的时空子处理之间的条件相似性。该论文考虑了三个申请，两项申请在犯罪数据上，第三个申请在林业上。
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.
