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A two-dimensional ‘immigration–branching' model with application to earthquake occurrence times and energies

Published online by Cambridge University Press:  14 July 2016

C. D. Lai
C. D. Lai*
Affiliation:
University of Auckland
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Abstract

A two-dimensional Poisson cluster point process is formulated by the use of a probability generating functional. Moment measures of both the cluster centre and member processes are discussed. An example is provided, and the magnitude frequency law is proved in this case.

Keywords

PROBABILITY GENERATING FUNCTIONALPOISSON CLUSTERENERGIESEARTHQUAKE OCCURRENCESMAGNITUDE–FREQUENCY LAWMOMENT MEASURES
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 464 - 474
Copyright
Copyright © Applied Probability Trust 1977 

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References

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