Scaling in fracture systems has become an active field of research in the last 25 years
motivated by practical applications in hazardous waste disposal, hydrocarbon reservoir …

The estimation of the b-value of the Gutenberg-Richter Law and its uncertainty is crucial in
seismic hazard studies, as well as in verifying theoretical assertions, such as, for example …

We introduce a new method to determine the magnitude of completeness M c and its
uncertainty. Our method models the entire magnitude range (emr method) consisting of the …

Publisher Summary This chapter summarizes the new facts surrounding the spatial
variability of the b-value—the slope of the frequency-magnitude distribution (FMD) …

An accumulation of seismic moment data gathered over the previous decade justifies a new
attempt at a comprehensive statistical analysis of these data: herein, more rigourous …

Wildfires statistics for the conterminous United States (US) are examined in a spatially and
temporally explicit manner. We use a high-resolution data set consisting of 88,916 US …

The b value is a critical parameter that has been used to describe spatial and temporal size
distribution characteristics in data from both natural seismicity and laboratory rock acoustic …

Abstract The Gutenberg‐Richter (G‐R) relationship has been regarded as the fundamental
description of the size distribution from large‐scale‐earthquake to small‐scale‐laboratory …

Recent results in extreme value theory suggest a new technique for statistical estimation of
distribution tails (Embrechts et al., 1997), based on a limit theorem known as the Gnedenko …

Rupture events, as the propagation of cracks or the sliding along faults, associated with the
deformation of brittle materials are observed to obey power-law distributions. This is verified …