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Article Dans Une Revue ESAIM: Probability and Statistics Année : 2019

On the consistency of Sobol indices with respect to stochastic ordering of model parameters.

Résumé

In the past decade, Sobol's variance decomposition have been used as a tool - among others - in risk management. We show some links between global sensitivity analysis and stochastic ordering theories. This gives an argument in favor of using Sobol's indices in uncertainty quantification, as one indicator among others.
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Dates et versions

hal-01026373 , version 1 (21-07-2014)
hal-01026373 , version 2 (21-07-2014)

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Areski Cousin, Alexandre Janon, Véronique Maume-Deschamps, Ibrahima Niang. On the consistency of Sobol indices with respect to stochastic ordering of model parameters.. ESAIM: Probability and Statistics, 2019, 23 (387-408), ⟨10.1051/ps/2018001⟩. ⟨hal-01026373v2⟩
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