论文标题

较大的和中等的偏差,用于离散的标记霍克斯流程

Large and moderate deviations for a discrete-time marked Hawkes process

论文作者

Wang, Haixu

论文摘要

霍克斯过程是一个简单的积分过程,在金融,社交网络,犯罪学,地震学和许多其他领域中具有广泛的应用。霍克斯过程定义为连续时间设置。但是,数据也记录在离散时间方案中。在本文中,我们研究了(Xu等,2020)首次提出的一个离散时间标记的霍克斯流程,该过程吸引了应用程序。特别是,我们研究模型的大偏差和中等偏差。

The Hawkes process is a simple point process with wide applications in finance, social networks, criminology, seismology, and many other fields. The Hawkes process is defined for continuous-time setting. However, data is also recorded in a discrete-time scheme. In this paper, we study a discrete-time marked Hawkes process first proposed in (Xu et al., 2020), which is appealing for applications. In particular, we study large and moderate deviations for the model.

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