Annals of the Institute of Statistical Mathematics

, Volume 31, Issue 1, pp 145-155

First online:

Maximum likelihood estimation of Hawkes' self-exciting point processes

  • T. Ozaki

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A maximum likelihood estimation procedure of Hawkes' self-exciting point process model is proposed with explicit presentations of the log-likelihood of the model and its gradient and Hessian. A simulation method of the process is also presented. Some numerical results are given.