Hawkes point processes based inference applied to seismic data analysis

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.