### Abstract

Point processes are well studied objects in probability theory and a powerful tool in statisticsfor modelling and analyzing the distribution of real phenomena, such as the seismicone. Point processes can be specified mathematically in several ways, for instance, byconsidering the joint distributions of the counts of points in arbitrary sets or defining acomplete intensity function. The conditional intensity function is a function of the pointhistory and it is itself a stochastic process depending on the past up to time t.In this paper some techniques to estimate the intensity function of space-time pointprocesses are developed, by following semi-parametric approaches and diagnostic methodsto assess their goodness of fit.In particular, because of its particularly adaptive properties to anomalous behavior indata, in this paper a nonparametric estimation approach is used to interpret dependencefeatures of seismic activity of a given area of observation; to justify the estimation approacha diagnostic method for space-time point processes is also revised.

Lingua originale | English |
---|---|

Numero di pagine | 2 |

Stato di pubblicazione | Published - 2009 |