Abstract

         We study the cumulative distribution for the magnitude of earthquakes in the context of          nonextensive statistical mechanics. A new modification of the Gutenberg–Richter (GR) law          is introduced. We use seismic data sets which were recorded in two different regions, Iran          and California, to compute the cumulative distribution of the magnitudes. The empirical          data are fitted extremely well by our suggested expression for the modified GR law over          the whole range of magnitudes.