In the past decade, Sobol’s variance decomposition has been used as a tool to assess how the output of a model is affected by the uncertainty on its input parameters. We show some links between global sensitivity analysis and stochastic ordering theory. More specifically, we study the influence of inputs’ distributions on Sobol indices in relation with stochastic orders. This gives an argument in favor of using Sobol’s indices in uncertainty quantification, as one indicator among others.
Accepté le :
DOI : 10.1051/ps/2018001
Mots-clés : Sensitivity analysis, Sobol indices, stochastic orders
@article{PS_2019__23__387_0,
author = {Cousin, A. and Janon, A. and Maume-Deschamps, V. and Niang, I.},
title = {On the consistency of {Sobol} indices with respect to stochastic ordering of model parameters},
journal = {ESAIM: Probability and Statistics},
pages = {387--408},
publisher = {EDP-Sciences},
volume = {23},
year = {2019},
doi = {10.1051/ps/2018001},
zbl = {1421.62053},
mrnumber = {3975701},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ps/2018001/}
}
TY - JOUR AU - Cousin, A. AU - Janon, A. AU - Maume-Deschamps, V. AU - Niang, I. TI - On the consistency of Sobol indices with respect to stochastic ordering of model parameters JO - ESAIM: Probability and Statistics PY - 2019 SP - 387 EP - 408 VL - 23 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ps/2018001/ DO - 10.1051/ps/2018001 LA - en ID - PS_2019__23__387_0 ER -
%0 Journal Article %A Cousin, A. %A Janon, A. %A Maume-Deschamps, V. %A Niang, I. %T On the consistency of Sobol indices with respect to stochastic ordering of model parameters %J ESAIM: Probability and Statistics %D 2019 %P 387-408 %V 23 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ps/2018001/ %R 10.1051/ps/2018001 %G en %F PS_2019__23__387_0
Cousin, A.; Janon, A.; Maume-Deschamps, V.; Niang, I. On the consistency of Sobol indices with respect to stochastic ordering of model parameters. ESAIM: Probability and Statistics, Tome 23 (2019), pp. 387-408. doi : 10.1051/ps/2018001. http://www.numdam.org/articles/10.1051/ps/2018001/
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