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New sensitivity analysis subordinated to a contrast

Jean-Claude Fort, Thierry Klein and Nabil Rachdi

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 15, 4349-4364

Abstract: In a model of the form Y = h(X1, …, Xd) where the goal is to estimate a parameter of the probability distribution of Y, we define new sensitivity indices which quantify the importance of each variable Xi with respect to this parameter of interest. The aim of this paper is to define goal oriented sensitivity indices and we will show that Sobol indices are sensitivity indices associated to a particular characteristic of the distribution Y. We name the framework we present as Goal Oriented Sensitivity Analysis (GOSA).

Date: 2016
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DOI: 10.1080/03610926.2014.901369

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