eprintid: 1548
rev_number: 16
eprint_status: archive
userid: 2
dir: disk0/00/00/15/48
datestamp: 2015-02-23 08:20:46
lastmod: 2017-02-08 12:21:36
status_changed: 2015-04-27 12:11:06
type: article
metadata_visibility: show
creators_name: Kijko, Andrzej
corp_creators: Institute of Geophysics, Polish Academy of Sciences, 00-973 Warsaw, P. O. Box 155, Pasteura 3
title: A modified form of the first Gumbel distribution: model for the occurrence of large earthquakes. Part II - Estimation of parameters
ispublished: pub
subjects: MP2_2
subjects: MP3_1
divisions: EPOS-P
full_text_status: none
abstract: 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.
date: 1983
date_type: published
publication: Acta Geophysica Polonica
volume: 31
number: 2
publisher: Polish Academy of Science
pagerange: 147-159
refereed: TRUE
issn: 1895-6572
access_IS-EPOS: limited
owner: Publisher
citation:   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.