### Abstract

We study the seismicity (global seismic activity) that occurred in Greece between 1976 and 2009 based on the dataset reported in Makropoulos et al. (2012), using concepts of non-extensive Statistical Physics. By considering the entire and declustered datasets, for which the aftershocks have been removed, we initially investigate the frequency-magnitude distribution and find that both datasets are well approximated by a physical model derived in the framework of non-extensive Statistical Physics. We then carry out a study of the distribution of interevent times of seismic events for different magnitude thresholds and discover that the data are well approximated by a statistical distribution of the q-exponential type that allows us to compute analytically the risk function of earthquake production. Our analysis thus reveals further evidence that the underlying dynamical process of earthquake birth reflects a kind of nonlinear memory due to long-term persistence of seismic events. (C) 2014 Elsevier B.V. All rights reserved.

Original language | English |
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Pages (from-to) | 71-77 |

Number of pages | 7 |

Journal | Physica. A, Statistical Mechanics and its Applications |

Volume | 409 |

Early online date | 9 May 2014 |

DOIs | |

Publication status | Published - 1 Sep 2014 |

### Keywords

- seismicity
- non-extensive statistical mechanics
- q-exponential statistics
- frequency magnitude distribution
- interevent times distribution
- hazard function estimation
- West Corinth Rift
- successive earthquakes
- non-extensivity
- physics
- sequence

### Cite this

*Physica. A, Statistical Mechanics and its Applications*,

*409*, 71-77. https://doi.org/10.1016/j.physa.2014.04.042