3 papers
math.ST2026
Global Sensitivity Analysis: a new generation of mighty estimators based on rank statistics
Fabrice Gamboa, Pierre Gremaud, Thierry Klein +1
We propose a new statistical estimation framework for a large family of global sensitivity analysis methods. Our approach is based on rank statistics and uses an empirical correlat…
stat.ME2026
Global Sensitivity Analysis: a novel generation of mighty estimators based on rank statistics
Fabrice Gamboa, Pierre Gremaud, Thierry Klein +1
We propose a new statistical estimation framework for a large family of global sensitivity analysis indices. Our approach is based on rank statistics and uses an empirical correlat…
math.ST2025
Sensitivity analysis from a single input/output sample
Sébastien Da Veiga, Fabrice Gamboa, Thierry Klein +2
The main objective of this paper is to estimate optimally Sobol' indices at any order when a unique input/output i.i.d.\ sample is available. Our approach stands on three main ingr…