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Statistics Seminar by Junhyeon Kwon (University of North Texas)
Friday, November 10, 2023 11am to 12pm
Sciences Building (SCI), 2.230
Stream Available
Event Details
Flexible spatio-temporal Hawkes process models for earthquake occurrences
Hawkes process is one of the most commonly used models for investigating the self-exciting nature of earthquake occurrences. However, seismicity patterns have complicated characteristics due to heterogeneous geology and stresses, for which existing methods with Hawkes process cannot fully capture. This study introduces novel nonparametric Hawkes process models that are flexible in three distinct ways. First, we incorporate the spatial inhomogeneity of the self-excitation earthquake productivity. Second, we consider the anisotropy in aftershock occurrences. Third, we reflect the space–time interactions between aftershocks with a non-separable spatio-temporal triggering structure. For model estimation, we extend the model-independent stochastic declustering (MISD) algorithm and suggest substituting its histogram-based estimators with kernel methods. We demonstrate the utility of the proposed methods by applying them to the seismicity data in regions with active seismic activities.
Location
Sciences Building (SCI), 2.230
800 W. Campbell Road, Richardson, Texas 75080-3021
Department
- Natural Sciences & Mathematics
Contact Information
- Yunan Wu
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