1979
DOI: 10.1111/j.1365-246x.1979.tb06766.x
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Seismic risk in southern Europe through to India examined using Gumbel's third distribution of extreme values

Abstract: A technique is described for the analysis of seismicity using Gumbel's third asymptotic distribution of extreme values. Seismicity of southern Europe through to India, nominally for the period 1900-74, is subdivided in a cellular manner, without recourse to tectonic discrimination between regions, and a covariance analysis on the three parameters of Gumbel's distribution is performed for each cell of seismicity. The results indicate that the upper bound to the magnitude of earthquake occurrence is often uncert… Show more

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Cited by 83 publications
(64 citation statements)
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References 50 publications
(37 reference statements)
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“…The most suitable statistical approach for the available sample is the theory of extreme values which was introduced by Gumbel (1958) and has extensively been applied to seismic hazard problems (Makropoulos, 1978;Burton, 1979;Makropoulos and Burton, 1985a, b;Tsapanos and Burton, 1991;Burton et al, 2003;Ozturk et al, 2008). The advantage of the applied methodology in the case of the present study is that only an earthquake catalogue is used.…”
Section: Seismic Hazard Assessmentmentioning
confidence: 99%
“…The most suitable statistical approach for the available sample is the theory of extreme values which was introduced by Gumbel (1958) and has extensively been applied to seismic hazard problems (Makropoulos, 1978;Burton, 1979;Makropoulos and Burton, 1985a, b;Tsapanos and Burton, 1991;Burton et al, 2003;Ozturk et al, 2008). The advantage of the applied methodology in the case of the present study is that only an earthquake catalogue is used.…”
Section: Seismic Hazard Assessmentmentioning
confidence: 99%
“…Annual extremes are seen only in few occasions, and generally we have extreme intervals of duration of N-years (Burton, 1977) and these intervals referred as "extreme years". On the other hand (Burton, 1979) suggested that in the case of N-year extremes if the missing entries (years) must be less than or equal to 25% the parameters of Gumbel I or III distribution may be estimated without noticeable loss of accuracy. Then we estimated the extreme years and the percentage (%) of the missing years (≤25%) in order to obtained reliable results, as we aforementioned.…”
Section: Resultsmentioning
confidence: 99%
“…Equation (9) is the most proper one for the 1-type and 3-type asymptotic distribution of extremes (Burton, 1979). The commonest description of earthquake occurrence is provided by the Gutenberg-Richter law.…”
Section: Brief Descriptions Of the Methods Appliedmentioning
confidence: 99%
“…(1), and σ ω , σ µ and σ λ the square root of the diagonal elements of the covariance matrix (Burton, 1979;Burton and Makropoulos, 1985;Makropoulos and Burton, 1985a). …”
Section: Methodsmentioning
confidence: 99%
“…First we update the MB earthquake catalogue for Greece 1900-1978(Makropoulos and Burton 1981Makropoulos et al, 1989) to include 1979-1999(Burton et al, 2003c. The basic references for this updated work are ISC, NEIC and CMT Harvard catalogues.…”
Section: Shield Regional Working Area Of Revithoussa and Datamentioning
confidence: 99%