Statistical Analysis of Temporal Variations of Seismicity Level in Some Italian Regions |
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Authors: | Renata Rotondi |
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Institution: | (1) CNR, Istituto per le Applicazioni della Matematica e dell'Informatica, Via Ampére, 56-20131 Milan, Italy |
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Abstract: | Rotondi and Pagliano considered the problem of identifying periods with different seismicity levels as a multiple-changepoint problem: after having estimated the complete part of the historical catalog related to a seismic source zone, inference was made about the number and the location of k 1 changepoints of the occurrence rate in a sequence of n observations from a generalized Poisson process through a stepwise procedure. In this work, we extend such a method estimating the number of changepoints, their location, and other model parameters simultaneously. A fundamental role is played by new computational methods based on the simulation of Markov chains. In particular, we have applied a new version of the reversible jump Metropolis–Hastings algorithm to the data of some Italian seismic sources and we have identified periods with alternately higher and lower seismic activity levels. |
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Keywords: | structural changes Bayesian statistical inference levels of seismicity Poisson process iterative simulation methods multiple change-point problem seismic migration |
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