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Article Dans Une Revue Journal of Multivariate Analysis Année : 2010

Functional nonparametric estimation of conditional extreme quantiles

Résumé

We address the estimation of quantiles from heavy-tailed distributions when functional covariate information is available and in the case where the order of the quantile converges to one as the sample size increases. Such "extreme" quantiles can be located in the range of the data or near and even beyond the boundary of the sample, depending on the convergence rate of their order to one. Nonparametric estimators of these functional extreme quantiles are introduced, their asymptotic distributions are established and their finite sample behavior is investigated.
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Dates et versions

hal-00289996 , version 1 (24-06-2008)
hal-00289996 , version 2 (30-04-2009)
hal-00289996 , version 3 (11-06-2009)
hal-00289996 , version 4 (25-04-2013)

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Laurent Gardes, Stéphane Girard, Alexandre Lekina. Functional nonparametric estimation of conditional extreme quantiles. Journal of Multivariate Analysis, 2010, 101 (2), pp.419-433. ⟨10.1016/j.jmva.2009.06.007⟩. ⟨hal-00289996v4⟩
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