Estimation of risk measures for extreme pluviometrical measurements

Abstract : Many risk measures can be found in the literature such as the Value-at-Risk and the Conditional Tail Expectation. In statistical terms, the Value-at-Risk is aquantile of the distribution of the variable of interest. In hydrology, the Value-at-Risk of the rainfall distribution is the return level. The Conditional Tail Expectation is the mean of the rainfalls larger than the Value-at-Risk. Here, we focus on the properties of these risk measures in case of extreme rainfall modeled by heavy-tailed distributions. In order to take into account the geographical factors, we also assume that these risk measures depend on a covariate. We present the theoretical properties of our estimators and we illustrate their behaviour on a real data set of daily rainfalls in the Cévennes-Vivarais region.
Type de document :
Communication dans un congrès
Workshop "Extreme value modeling and water ressources", 2016, Aussois, France
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https://hal.archives-ouvertes.fr/hal-01340774
Contributeur : Stephane Girard <>
Soumis le : vendredi 1 juillet 2016 - 17:16:21
Dernière modification le : mardi 10 octobre 2017 - 11:22:05

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  • HAL Id : hal-01340774, version 1

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Jonathan El Methni, Laurent Gardes, Stéphane Girard. Estimation of risk measures for extreme pluviometrical measurements. Workshop "Extreme value modeling and water ressources", 2016, Aussois, France. 〈hal-01340774〉

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