Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions

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A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures (2014, unknown): “The author rules out the Rosenblatt transformation [23] or others commonly used for mapping dependent to independent variables, as they may induce overly large nonlinearity to a stochastic response, potentially degrading the convergence properties of probabilistic solutions [20].”
A polynomial chaos expansion in dependent random variables (2018, methodology): “The Rosenblatt transformation [18], commonly used for mapping dependent to independent variables, may induce very strong nonlinearity to a stochastic response, potentially degrading or even prohibiting convergence of probabilistic solutions [16].”
Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics (2020, background): “10 [25, 49] Elastic modulus of deck ( d E ) Lognormal 3.”