Statistical seismology deals with the statistical modeling of earthquake records, with attempt to reveal the magnitude-location-time relationship. Although the model itself will not tell exactly when an earthquake will occur and how large it will be, it will definitely help the seismic hazard assessment.  A good reference is Daley and Vere-Jones (2003, 2007).  Vere-Jones from New Zealand is one of the pioneers of statistical seismology.