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May 2009 A cluster identification framework illustrated by a filtering model for earthquake occurrences
Zhengxiao Wu
Bernoulli 15(2): 357-379 (May 2009). DOI: 10.3150/08-BEJ159

Abstract

A general dynamical cluster identification framework including both modeling and computation is developed. The earthquake declustering problem is studied to demonstrate how this framework applies.

A stochastic model is proposed for earthquake occurrences that considers the sequence of occurrences as composed of two parts: earthquake clusters and single earthquakes. We suggest that earthquake clusters contain a “mother quake” and her “offspring.” Applying the filtering techniques, we use the solution of filtering equations as criteria for declustering. A procedure for calculating maximum likelihood estimations (MLE’s) and the most likely cluster sequence is also presented.

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Zhengxiao Wu. "A cluster identification framework illustrated by a filtering model for earthquake occurrences." Bernoulli 15 (2) 357 - 379, May 2009. https://doi.org/10.3150/08-BEJ159

Information

Published: May 2009
First available in Project Euclid: 4 May 2009

zbMATH: 1204.62163
MathSciNet: MR2543866
Digital Object Identifier: 10.3150/08-BEJ159

Rights: Copyright © 2009 Bernoulli Society for Mathematical Statistics and Probability

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Vol.15 • No. 2 • May 2009
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