Hawkes point processes based inference applied to seismic data analysis
Hawkes point processes based inference applied to seismic data analysis
复制标题
基于霍克斯点过程的推理应用于地震数据分析
DOI：
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Nancy
中科院分区：
文献类型：
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作者：
Loubna Ben Allal;Antoine Lejay;R. Stoica;Mines Nancy;Nancy
地震的发生可以看作是一个点过程。然而，这些地震的到来并不是独立的。大地震可能会引发余震。我们说这个过程是自我兴奋的。霍克斯过程是一种广泛使用的自激过程来模拟这种现象。在本文中，我们将这些具有指数衰减函数的模型应用于地震数据，并证明了它们的相关性。
The occurrences of earthquakes can be regarded as a point process. The arrivals of these earthquakes are, however not independent. Large earthquakes can trigger aftershocks. We say that the process is self-exciting. Hawkes processes are widely used self-exciting processes to model such phenomena. In this article, we apply these models with an exponential decay function to seismic data and show their relevance.