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Multivariate Quadratic Hawkes Processes -- Part II: Non-Parametric Empirical Calibration
Cecilia Aubrun, Michael Benzaquen, Jean-Philippe Bouchaud
This is the second part of our work on Multivariate Quadratic Hawkes (MQHawkes) Processes, devoted to the calibration of the model defined and studied analytically in Aubrun, C., B…
Multivariate Quadratic Hawkes Processes -- Part I: Theoretical Analysis
Cécilia Aubrun, Michael Benzaquen, Jean-Philippe Bouchaud
Quadratic Hawkes (QHawkes) processes have proved effective at reproducing the statistics of price changes, capturing many of the stylised facts of financial markets. Motivated by t…
On Hawkes Processes with Infinite Mean Intensity
Cecilia Aubrun, Michael Benzaquen, Jean-Philippe Bouchaud
The stability condition for Hawkes processes and their non-linear extensions usually relies on the condition that the mean intensity is a finite constant. It follows that the total…