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  • American Physical Society  (663,489)
  • American Association for the Advancement of Science  (369,592)
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  • 1
    Journal cover
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    American Physical Society
    Online: 1993 –
    Publisher: American Physical Society
    Print ISSN: 0003-0503
    Topics: Physics
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  • 2
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    American Association for the Advancement of Science
    Online: 2020 –
    Publisher: American Association for the Advancement of Science
    Electronic ISSN: 2765-8031
    Topics: Biology , Medicine
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  • 3
    Journal cover
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    American Physical Society
    Online: 1995 –
    Publisher: American Physical Society
    Topics: Physics
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  • 4
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    American Association for the Advancement of Science
    Online: 2019 –
    Publisher: American Association for the Advancement of Science
    Electronic ISSN: 2643-6515
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
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  • 5
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    American Physical Society
    Online: 1(1).1964 – 4(1).1968
    Publisher: American Physical Society
    Topics: Physics
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  • 6
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    American Physical Society
    Online: 1.1998 –
    Formerly as: Physical Review Focus  (1998–2011)
    Publisher: American Physical Society
    Electronic ISSN: 1943-2879
    Topics: Physics
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  • 7
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    American Physical Society
    Online: 1(1).2019 –
    Publisher: American Physical Society
    Electronic ISSN: 2643-1564
    Topics: Physics
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  • 8
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    American Physical Society
    Online: 1.2017 –
    Publisher: American Physical Society
    Electronic ISSN: 2475-9953
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 9
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    American Physical Society
    Online: 4(5).1995 –
    Publisher: American Physical Society
    Print ISSN: 1058-8132
    Topics: Physics
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  • 10
    Publication Date: 2020-10-16
    Description: We propose a version of the pure temporal epidemic type aftershock sequences (ETAS) model: the ETAS model with correlated magnitudes. As for the standard case, we assume the Gutenberg-Richter law to be the probability density for the magnitudes of the background events. Instead, the magnitude of the triggered shocks is assumed to be probabilistically dependent on that of the relative mother events. This probabilistic dependence is motivated by some recent works in the literature and by the results of a statistical analysis made on some seismic catalogs [Spassiani and Sebastiani, J. Geophys. Res. 121, 903 (2016)10.1002/2015JB012398]. On the basis of the experimental evidences obtained in the latter paper for the real catalogs, we theoretically derive the probability density function for the magnitudes of the triggered shocks proposed in Spassiani and Sebastiani and there used for the analysis of two simulated catalogs. To this aim, we impose a fundamental condition: averaging over all the magnitudes of the mother events, we must obtain again the Gutenberg-Richter law. This ensures the validity of this law at any event's generation when ignoring past seismicity. The ETAS model with correlated magnitudes is then theoretically analyzed here. In particular, we use the tool of the probability generating function and the Palm theory, in order to derive an approximation of the probability of zero events in a small time interval and to interpret the results in terms of the interevent time between consecutive shocks, the latter being a very useful random variable in the assessment of seismic hazard.
    Description: Published
    Description: 042134
    Description: 6T. Studi di pericolosità sismica e da maremoto
    Description: JCR Journal
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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