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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.
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https://hal.archives-ouvertes.fr/hal-01340774
Contributor : Stephane Girard <>
Submitted on : Friday, July 1, 2016 - 5:16:21 PM
Last modification on : Friday, April 10, 2020 - 5:11:51 PM

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  • HAL Id : hal-01340774, version 1

Citation

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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