Metastatistics of Extreme Values and its Application in Hydrology

Abstract: We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is the proper statistical framework to address the problem of data with statistical inhomogeneities. By use of artificial sequences, we show that the metastatistics produce the correct predictions while the traditional approach based on the generalized extreme value distribution does not. An application of the metastatistics methodology to the case of extreme event to rainfall daily precipitation is also presented.