An accumulation of seismic moment data gathered over the previous decade justifies a new attempt at a comprehensive statistical analysis of these data: herein, more rigourous statistical techniques are introduced, their properties investigated, and these methods are employed for analysis of large modern data sets. Several theoretical distributions of… (More)
Figure 1. Earthquake cumulative number versus log seismic moment for the global shallow earthquake distribution in the 1977/1/1–2000/12/31 Harvard catalogue. The curves show the numbers of events with moment larger than or equal to M. The total number of earthquakes Mi1017.7 N m (mi5.8) is 3942. (a) Moment range 1017–1022 N m; (b) moment range 1020–1022 N m. We also show the approximation of the empirical distribution (thick solid line) by five theoretical curves: the characteristic distribution (the complementary cumulative function truncated at the maximum moment), dotted line; the truncated Pareto distribution (the probability density function truncated at the maximum moment), dash-dotted line; the tapered G-R law (the exponential taper is applied to the complementary cumulative function), solid line; the gamma distribution (the exponential taper is applied to the probability density), dashed line; the original G-R law (without the upper bound), dotted line.