On the methods to identify clustering properties in sequences of seismic time-occurrences

In recent years there has been deep development in the use of techniquesto analyse the statistical properties of point process time series. Furthermoremany efforts have been made to establish robust methods to identify timeclustering structures in the temporal distribution of seismic events. In thispaper we intend to give a systematic review of some common usedtechniques to characterise the temporal properties of an earthquakesequence; we also present new methods, commonly used in other scientificfields, to reveal time clustering structures in a seismic sequence and toclearly identify non-poissonian behaviours at different time scales. Anapplication of these methods has been performed on the seismicity ofIrpinia-Basilicata area (Southern Italy).