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Statistics of extremes and estimation of extreme rainfall: II. Empirical investigation of long rainfall records / Statistiques de valeurs extrêmes et estimation de précipitations extrêmes: II. Recherche empirique sur de longues séries de précipitations
Abstract: Abstract

Abstract In the first part of this study, theoretical analyses showed that the Gumbel distribution is quite unlikely to apply to hydrological extremes and that the extreme value distribution of type II (EV2) is a more consistent choice. Based on these theoretical analyses, an extensive empirical investigation is performed using a collection of 169 of the longest available rainfall records worldwide, each having 100–154 years of data. This verifies the theoretical results. In addition, it shows that the shape parameter of the EV2 distribution is constant for all examined geographical zones (Europe and North America), with value κ = 0.15. This simplifies the fitting and the general mathematical handling of the distribution, which become as simple as those of the Gumbel distribution.
Keywords:design rainfall  extreme rainfall  generalized extreme value distribution  Gumbel distribution  hydrological design  hydrological extremes  probable maximum precipitation  risk  pluie de projet  précipitation extrême  distribution généralisée de valeurs extrêmes  distribution de Gumbel  dimensionnement hydrologique  valeurs extrêmes en hydrologie  précipitation maximum probable  risque
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