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- Title
Interevent Time Distribution in Seismicity: A Theoretical Approach.
- Authors
Molchan, G.
- Abstract
This paper presents an analysis of the distribution of the time t between two consecutive events in a stationary point process. The study is motivated by the discovery of unified scaling laws for t for the case of seismic events. We demonstrate that these laws cannot exist simultaneously in a seismogenic area. Under very natural assumptions we show that if, after rescaling to ensureEt =1, the interevent time has a universal distributionF, thenFmust be exponential. In other words, Corral’s unified scaling law cannot exist in the whole range of time. In the framework of a general cluster model we discuss the parameterization of an empirical unified law and the physical meaning of the parameters involved.
- Subjects
SEISMIC event location; SEISMOLOGY; EARTHQUAKE zones; RICHTER scale; PARAMETER estimation; EARTHQUAKES
- Publication
Pure & Applied Geophysics, 2005, Vol 162, Issue 6/7, p1135
- ISSN
0033-4553
- Publication type
Article
- DOI
10.1007/s00024-004-2664-5