“…In the last century, six catastrophic rainfallinduced events were registered in Madeira, namely in 1920Madeira, namely in , 1929Madeira, namely in , 1956Madeira, namely in , 1979Madeira, namely in , 1993Madeira, namely in and 1997, totaling more than 60 deaths and several dozens of injured people and houses destroyed (see, e.g., Baioni, 2011;Fragoso et al, 2012;Quintal, 1999). More recently, already in the 21st century, two significant events of this type were registered in Madeira Island, the first in March 2001, with five deaths and material damages of several tens of million euros (Rodrigues and Ayala-Caicedo, 2003), and the second one in February 2010, which caused 45 casualties, six missed people, more than a hundred injured and about 1.4 billion euros of material losses (Baioni, 2011;Fragoso et al, 2012), which indicate an increase in the frequency of such events and in the damage caused by them. This emphasize the need for appropriate statistical models of extreme hydrological events, particularly in the current context of global and regional climate and environmental changes, since the modelling of extreme rainfall has an important role in the design of water-related structures, in rural and agricultural engineering, and in many other areas, such as civil defense, where the hydrological monitoring and the knowledge concerning weather and climate extremes are fundamental.…”