Estimating seismic-source rate parameters associated with incomplete catalogues and superimposed Poisson-renewal generating processes

Jorge L. Alamilla, Rossana Vai, Luis Esteva

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2014, Springer Science+Business Media Dordrecht. A probabilistic model is presented to quantify parameters that define the exceedance rates of earthquake magnitudes. Incompleteness of seismic catalogues and superposition of Poisson-renewal earthquake generation processes are both taken into account within a Bayesian framework. The formulation can be transformed into the parameter estimation of single Poisson or renewal process. The incomplete exceedance rate parameters are estimated from incomplete data, so that the estimated values are equal to those of the complete rate. Two cases are studied: the first one corresponds to a seismic source in the Gulf of Mexico and the other to a seismic source in the southern Pacific coast of Mexico.
Original languageAmerican English
Pages (from-to)55-68
Number of pages48
JournalJournal of Seismology
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes

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seismic source
catalogs
Earthquakes
estimating
earthquakes
Parameter estimation
Coastal zones
poisson process
Gulf of Mexico
Mexico
earthquake magnitude
coasts
formulations
earthquake
Industry
coast
rate
parameter
Statistical Models

Cite this

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Estimating seismic-source rate parameters associated with incomplete catalogues and superimposed Poisson-renewal generating processes. / Alamilla, Jorge L.; Vai, Rossana; Esteva, Luis.

In: Journal of Seismology, 01.01.2015, p. 55-68.

Research output: Contribution to journalArticleResearchpeer-review

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AB - © 2014, Springer Science+Business Media Dordrecht. A probabilistic model is presented to quantify parameters that define the exceedance rates of earthquake magnitudes. Incompleteness of seismic catalogues and superposition of Poisson-renewal earthquake generation processes are both taken into account within a Bayesian framework. The formulation can be transformed into the parameter estimation of single Poisson or renewal process. The incomplete exceedance rate parameters are estimated from incomplete data, so that the estimated values are equal to those of the complete rate. Two cases are studied: the first one corresponds to a seismic source in the Gulf of Mexico and the other to a seismic source in the southern Pacific coast of Mexico.

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