relation: https://episodesplatform.eu/eprints/1548/
title: A modified form of the first Gumbel distribution: model for the occurrence of large earthquakes. Part II - Estimation of parameters
creator: Kijko, Andrzej
subject: Source size distribution
subject: Source effect
description: 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[-λ((A2-A(x))/(A2-A1))] for Mmin<=x<=Mmax and G(x)=1 for x>Mmax, where A(x)=exp (-βx), A1=exp(-βMmin), and A2=exp(-βMmax). Mmin is the treshold magnitude, Mmax is the maximum regional value, and the parameters β, λ and Mmax have been determined. In this paper the formulas for the parameters β, λ 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.
publisher: Polish Academy of Science
date: 1983
type: Article
type: PeerReviewed
identifier:   Kijko, Andrzej  (1983) A modified form of the first Gumbel distribution: model for the occurrence of large earthquakes. Part II - Estimation of parameters.  Acta Geophysica Polonica, 31 (2).  pp. 147-159.