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Abstract Details
Activity Number:
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85
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Type:
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Contributed
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Date/Time:
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Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Statistics and the Environment
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Abstract - #305488 |
Title:
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Multivariate Integer-Valued Autoregressive Models Applied to Earthquake Counts
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Author(s):
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Mathieu Boudreault*+ and Arthur Charpentier
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Companies:
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Université du Québec à Montréal and Université du Québec à Montréal
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Address:
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C.P. 8888, Montréal, QC, H3C 3P8, Canada
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Keywords:
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counts ;
autoregression ;
multivariate ;
earthquakes
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Abstract:
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In various situations in the insurance industry, in finance, in epidemiology, etc., one needs to represent the joint evolution of the number of occurrences of an event. In this paper, we present a multivariate integer-valued autoregressive (MINAR) model, derive its properties and apply the model to earthquake occurrences across various pairs of tectonic plates. The model is an extension of Pedelis & Karlis (2011) where cross autocorrelation (spatial contagion in a seismic context) is considered. We fit various bivariate count models and find that for many contiguous tectonic plates, spatial contagion is significant in at least one direction. Furthermore, ignoring cross autocorrelation can underestimate the potential for high numbers of occurrences over the short-term. Our overall findings seem to further confirm Parsons & Velasco (2011).
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