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Statistical methods for investigating quiescence and other temporal seismicity patterns

Pure and Applied Geophysics PAGEOPH
By:  and 
https://doi.org/10.1007/BF00879003

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Abstract

We propose a statistical model and a technique for objective recognition of one of the most commonly cited seismicity patterns:microearthquake quiescence. We use a Poisson process model for seismicity and define a process with quiescence as one with a particular type of piece-wise constant intensity function. From this model, we derive a statistic for testing stationarity against a 'quiescence' alternative. The large-sample null distribution of this statistic is approximated from simulated distributions of appropriate functionals applied to Brownian bridge processes. We point out the restrictiveness of the particular model we propose and of the quiescence idea in general. The fact that there are many point processes which have neither constant nor quiescent rate functions underscores the need to test for and describe nonuniformity thoroughly. We advocate the use of the quiescence test in conjunction with various other tests for nonuniformity and with graphical methods such as density estimation. ideally these methods may promote accurate description of temporal seismicity distributions and useful characterizations of interesting patterns. ?? 1988 Birkha??user Verlag.
Publication type Article
Publication Subtype Journal Article
Title Statistical methods for investigating quiescence and other temporal seismicity patterns
Series title Pure and Applied Geophysics PAGEOPH
DOI 10.1007/BF00879003
Volume 126
Issue 2-4
Year Published 1988
Language English
Publisher location Birkha??user-Verlag
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Pure and Applied Geophysics PAGEOPH
First page 357
Last page 372
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