Publication Type

Journal Article

Publication Date

1-2009

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

Keywords

earthquakes, filtering, Kushner–Stratonovich equations, marked point process, Zakai equations

Discipline

Geographic Information Sciences | Nature and Society Relations | Physical and Environmental Geography

Research Areas

Economic Theory

Publication

Bernoulli

Volume

15

Issue

2

ISSN

1350-7265

Identifier

10.3150/08-BEJ159

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Additional URL

http://doi.org./10.3150/08-BEJ159