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Activity Number: 85
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #305488
Title: Multivariate Integer-Valued Autoregressive Models Applied to Earthquake Counts
Author(s): Mathieu Boudreault*+ and Arthur Charpentier
Companies: Université du Québec à Montréal and Université du Québec à Montréal
Address: C.P. 8888, Montréal, QC, H3C 3P8, Canada
Keywords: counts ; autoregression ; multivariate ; earthquakes
Abstract:

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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