New Bayesian frequency-magnitude distribution model for earthquakes applied in Chile

We outline a model developed from a Bayesian approach, which can be connected, from the perspective of Mathai's pathway model, with the superstatistics representation presented by Beck and Cohen in 2002, which has been widely applied in non-equilibrium and complex systems. We evaluated goodness-of-fit to the observed frequency-magnitude distribution before and after major earthquakes occurred in Chile, from 2010 year to date. This new model, allows us to obtain an alternative Gutenberg-Richter b parameter, through a wider range of magnitudes.