Volume 127, Number 6, September 2019
|Number of page(s)||6|
|Published online||04 November 2019|
Distribution of waiting time between two successive aftershocks from modified Omori's law
1 Graduate School of Mathematical Sciences, University of Tokyo - 153-0041, 3-8-1, Komaba, Meguro- ku, Tokyo, Japan
2 Tokio Marine and Nichido Risk Consulting Co., Ltd. - 100-0004, 1-5-1, Otemachi, Chiyoda-ku, Tokyo, Japan
Received: 9 March 2019
Accepted: 23 September 2019
The primary aim of this letter is the derivation of the distribution of the waiting time between two successive aftershocks from the modified Omori's law. We also propose two models. One model is the elapsed time-accumulation (ETA) model, and the Non-homogeneous Poisson Process (NPP) model. Using these two models, we confirm the conditions under which the distributions of the waiting time obtained follow the Zipf-Mandelbrot law.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 12.40.Ee – Statistical models / 91.30.Px – Earthquakes
© EPLA, 2019
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