Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/704
DC Field | Value | Language |
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dc.contributor.authorall | Lombardi, A. M.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma1, Roma, Italia | en |
dc.date.accessioned | 2006-02-14T10:08:33Z | en |
dc.date.available | 2006-02-14T10:08:33Z | en |
dc.date.issued | 2002 | en |
dc.identifier.uri | http://hdl.handle.net/2122/704 | en |
dc.description.abstract | Assuming that, in a catalog, all the earthquakes with magnitude larger than or equal to a cutoff magnitude M c follow the Gutenberg-Richter Law, the compatibility of this hypothesis with «Bath’s Law» is examined. Consi-dering the mainshock M 0 and the largest aftershock M 1 of a sequence respectively as the first and the second largest order statistic of a sample of independent and identically distributed exponential random variables, the distribution of M 0 , M 1 and of their difference D 1 is evaluated. In particular, it is analyzed as the distribution of D 1 changes when only the sequences with the magnitude of the mainshock above a second threshold M c*•M c are considered. It results that the distributions of M 0 , M 1 and D 1 depend on the difference M c*•M c and on the number of events in the sequence. Moreover, the expected value of D 1 increases with increasing of M c*•M c for every value of N. Then it is shown that «Bath’s Law» could be ascribed to selection of data caused by the two thresholds M c and M c* and that it has a qualitative agreement with the model proposed. Key words Assuming that, in a catalog, all the earthquakes with magnitude larger than or equal to a cutoff magnitude M c follow the Gutenberg-Richter Law, the compatibility of this hypothesis with «Bath’s Law» is examined. Consi-dering the mainshock M 0 and the largest aftershock M 1 of a sequence respectively as the first and the second largest order statistic of a sample of independent and identically distributed exponential random variables, the distribution of M 0 , M 1 and of their difference D 1 is evaluated. In particular, it is analyzed as the distribution of D 1 changes when only the sequences with the magnitude of the mainshock above a second threshold M c*•M c are considered. It results that the distributions of M 0 , M 1 and D 1 depend on the difference M c*•M c and on the number of events in the sequence. Moreover, the expected value of D 1 increases with increasing of M c*•M c for every value of N. Then it is shown that «Bath’s Law» could be ascribed to selection of data caused by the two thresholds M c and M c* and that it has a qualitative agreement with the model propose. | en |
dc.format.extent | 724784 bytes | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | English | en |
dc.publisher.name | INGV | en |
dc.relation.ispartof | Annals of Geophysics | en |
dc.relation.ispartofseries | 3-4/45 (2002) | en |
dc.subject | magnitude distribution | en |
dc.subject | cluster size | en |
dc.subject | b-value | en |
dc.subject | order statistics | en |
dc.title | Probabilistic interpretationof «Bath's Law» | en |
dc.type | article | en |
dc.description.status | Published | en |
dc.type.QualityControl | Peer-reviewed | en |
dc.subject.INGV | 04. Solid Earth::04.05. Geomagnetism::04.05.08. Instruments and techniques | en |
dc.subject.INGV | 05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous | en |
dc.description.journalType | JCR Journal | en |
dc.description.fulltext | open | en |
dc.contributor.author | Lombardi, A. M. | en |
dc.contributor.department | Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma1, Roma, Italia | en |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
crisitem.author.dept | Istituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione Roma1, Roma, Italia | - |
crisitem.author.orcid | 0000-0002-8326-7135 | - |
crisitem.author.parentorg | Istituto Nazionale di Geofisica e Vulcanologia | - |
crisitem.classification.parent | 04. Solid Earth | - |
crisitem.classification.parent | 05. General | - |
crisitem.department.parentorg | Istituto Nazionale di Geofisica e Vulcanologia | - |
Appears in Collections: | Annals of Geophysics |
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455_472 Lombardo.pdf | 707.8 kB | Adobe PDF | View/Open |
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