Reliable error estimation for Sobol' indices
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Publication:1704013
DOI10.1007/s11222-017-9759-1zbMath1385.49029OpenAlexW2516680087MaRDI QIDQ1704013
Laurent Gilquin, Lluís Antoni Jiménez Rugama
Publication date: 8 March 2018
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01358067/file/Manuscript.pdf
Monte Carlo methods (65C05) Popov-type stability of feedback systems (93D10) Numerical methods for integral transforms (65R10) Sequential estimation (62L12) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (5)
Adaptive Quasi-Monte Carlo Methods for Cubature ⋮ Risk of estimators for Sobol' sensitivity indices based on metamodels ⋮ Computing Shapley Effects for Sensitivity Analysis ⋮ Nonparametric estimation of probabilistic sensitivity measures ⋮ Screening: from tornado diagrams to effective dimensions
Uses Software
Cites Work
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- Iterative construction of replicated designs based on Sobol' sequences
- Making best use of model evaluations to compute sensitivity indices
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- Multi-fidelity optimization via surrogate modelling
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- Better estimation of small sobol' sensitivity indices
- Implementation and tests of low-discrepancy sequences
- Asymptotic normality and efficiency of two Sobol index estimators
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- Comparison of some efficient methods to evaluate the main effect of computer model factors
- Algorithm 823
- On the distribution of points in a cube and the approximate evaluation of integrals
- A Class of Statistics with Asymptotically Normal Distribution
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