TY - JOUR ID - epos1548 UR - https://episodesplatform.eu/eprints/1548/ IS - 2 A1 - Kijko, Andrzej Y1 - 1983/// N2 - In the first part of this paper (Kijko, 1982), the following cumulative distribution function for magnitudes of the largest earthquakes in a certain interval of time, was proposed: G(x)=exp[-?((A2-A(x))/(A2-A1))] for Mmin<=x<=Mmax and G(x)=1 for x>Mmax, where A(x)=exp (-?x), A1=exp(-?Mmin), and A2=exp(-?Mmax). Mmin is the treshold magnitude, Mmax is the maximum regional value, and the parameters ?, ? and Mmax have been determined. In this paper the formulas for the parameters ?, ? and Mmax are derived following the maximum likelihood and moments principles. As an example, the proposed distribution and formulas are applied to five seismic regions. PB - Polish Academy of Science JF - Acta Geophysica Polonica VL - 31 SN - 1895-6572 TI - A modified form of the first Gumbel distribution: model for the occurrence of large earthquakes. Part II - Estimation of parameters SP - 147 AV - none EP - 159 ER -