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Earthquakes clustering based on maximum likelihood estimation of point process conditional intensity function

In this paper we propose a clustering technique to separate and find out the two main component of seismicity: the background seismicity and the triggered one. The method here proposed assigns each earthquakes to the cluster of earthquakes or to the set of isolated event according to the intensity function. This function is estimated by maximum likelihood methods following the theory of point process and iteratively changing the assignment of the events. This technique develops nonparametric estimation methods and computational procedure for the maximization of the point process likelihood function.