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Additional resources for Earthquake Research and Analysis - Statistical Studies, Observations and Planning
12. Interoccurrence time statistics for different magnitude mc by analyzing catalogue produced by the two-dimensional spring-block model (29). to the stretched exponential distribution because α1 is less than unity, suggesting that an occurrence of earthquake is not a Poisson process but has a memory. , the Weibull - log-Weibull transition. Recently, Abaimov et al. showed that the recurrence time distribution is also well-ﬁtted by the Weibull distribution (4) rather than the Brownian passage time (BPT) distribution (23) and the log normal distribution.
From this it follows that the typical maximum rate of foreshock sequence is an order smaller than the maximum rate of aftershock process. This result is intimately related to the problem of predictability of large earthquakes; the prediction problem would have been solved already, if the rate of foreshocks would be equal to the rate of aftershocks. It seems important to note that upon closer examination the seismicity increase in the generalized vicinity of large earthquakes is not confined to the foreshock and aftershock cascades.
33] C. M. R. Fowler, The Solid Earth: An Introduction to Global Geophysics, Cambridge University Press, New York, 1990.  L. Ruff and H. Kanamori, "Seismicity and the subduction process", Physics of the Earth and Planetary Interiors, vol. 23, pp. 240-252, 1980.  T. Wong, R. H. C. Wong, K. T. Chau, and, C. A. Tang, "Microcrack statistics. Weibull distribution and micromechanical modeling of compressive failure in rock", Mechanics of Materials. vol. 38, pp. 664-681, 2006.  A. Ghosh, "A FORTRAN program for ﬁtting Weibull distribution and generating samples", Computational Geosciences, vol.