A Parameter Estimation Method for Multivariate Aggregated Hawkes Processes
@inproceedings{Shlomovich2021APE, title={A Parameter Estimation Method for Multivariate Aggregated Hawkes Processes}, author={Leigh Shlomovich and Edward A. K. Cohen and Niall M. Adams}, year={2021} }
It is often assumed that events cannot occur simultaneously when modelling data with point processes. This raises a problem as real-world data often contains synchronous observations due to aggregation or rounding, resulting from limitations on recording capabilities and the expense of storing high volumes of precise data. In order to gain a better understanding of the relationships between processes, we consider modelling the aggregated event data using multivariate Hawkes processes, which…
2 Citations
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A Bayesian estimation procedure for the parameters of a Hawkes process based on aggregated data is developed for temporal, spatio-temporal, and mutually exciting Hawkes processes where data are available over discrete time periods and regions.
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This work introduces a novel multivariate temporal point process, the Partial Mean Behavior Poisson (PMBP) process, which can be leveraged to fit the multivariate Hawkes process to partially…