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Statistical Seismology aims to bridge the gap between physics-based and statistics-based models. This volume provides a combination of reviews, methodological studies, and applications, which point to promising efforts in this field. The volume will be useful to students and professional researchers alike, who are interested in using stochastic modeling for probing the nature of earthquake phenomena, as well as an essential ingredient for earthquake forecasting.Statistical Seismology aims to bridge the gap between physics-based and statistics-based models. This volume provides a combination of reviews, methodological studies, and applications, which point to promising efforts in this field. Topics covered include stochastic branching and fractals, model results based on dislocation theory and damage rheology, approximations and applicability of power laws and other distributions, assessment of probability forecasts, examples of forecasting models and their applications, analyses of the Matsushiro swarm data, foreshock occurrence and other seismicity patterns in Japan, seismicity rates in the eastern California shear zone, acoustic emissions from the Canadian Underground Research Laboratory, and ULF electric signals data from around Beijing. The volume will be useful to students and professional researchers alike, who are interested in using stochastic modelling for probing the nature of earthquake phenomena, as well as an essential ingredient for earthquake forecasting.