Modeling Trades-Through in a Limit Order Book
The paper, written by Ioane Muni Toke and Fabrizio Pomponio, titled, Modeling Trades-Through in a Limit Order Book Using Hawkes Processes, uses Hawkes process to examine microstructure behavior.
This paper uses Multivariate Hawkes process to model trades-through. The best thing about this paper is that the authors have made the dataset available for the readers so that they can work through the numbers
and get a feel of model inference. The dataset is available at dataverse.