Statistical Methods and Modeling of Seismogenesis

The study of earthquakes is a multidisciplinary field, an amalgam of geodynamics, mathematics, engineering and more. The overriding commonality between them all is the presence of natural randomness.

Stochastic studies (probability, stochastic processes and statistics) can be of different types, for example, the black box approach (one state), the white box approach (multi-state), the simulation of different aspects, and so on. This book has the advantage of bringing together a group of international authors, known for their earthquake-specific approaches, to cover a wide array of these myriad aspects. A variety of topics are presented, including statistical nonparametric and parametric methods, a multi-state system approach, earthquake simulators, post-seismic activity models, time series Markov models with regression, scaling properties and multifractal approaches, selfcorrecting models, the linked stress release model, Markovian arrival models, Poisson-based detection techniques, change point detection techniques on seismicity models, and, finally, semi-Markov models for earthquake forecasting.

Nikolaos Limnios is Full Professor of Applied Mathematics at Université de Technologie de Compiègne, Sorbonne University, France. His research interests include stochastic processes and statistics, Markov and semi-Markov processes and random evolutions with varied applications.

Eleftheria Papadimitriou is Professor of Seismology at the Aristotle University of Thessaloniki, Greece. Her research interests are related to Earthquake Seismology and she engages in scientific exchange and collaboration with several international institutions.

George Tsaklidis is Professor of Probability and Statistics at the Aristotle University of Thessaloniki, Greece. His research interests include stochastic processes and computational statistics with applications in seismology, finance and continuum mechanics, and state-space modeling.