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ArticleA generalization of the Nataf transformation to distributions with elliptical copula

Régis Lebrun2008

Article2008

A generalization of the Nataf transformation to distributions with elliptical copula

Régis Lebrun · Anne Dutfoy

163 citations·0/0 files stored·Probabilistic Engineering Mechanics

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Probabilistic and Robust Engineering Design Reliability and Maintenance Optimization Geotechnical Engineering and Analysis

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References

1999An Introduction to Copulas 1974Exact and Invariant Second-Moment Code Format 1986Structural Reliability under Incomplete Probability Information 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability 1986Random fields and stochastic finite elements

Cited by

2009Do Rosenblatt and Nataf isoprobabilistic transformations really differ?2015OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation 2018A general framework for data-driven uncertainty quantification under complex input dependencies using vine copulas 2017OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation 2014A survey of rare event simulation methods for static input–output models 2013Bivariate distribution models using copulas for reliability analysis 2016Reliability analysis of high-dimensional models using low-rank tensor approximations 2020Surrogate modeling based on resampled polynomial chaos expansions

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1991Methods for Structural Reliability Computationschapter · 4 shared references 1994Direct computation of the design point of a stochastic structure using a finite element codearticle · 4 shared references 1998Monte Carlo techniques in computational stochastic mechanicsarticle · 3 shared references 1991Efficient Algorithm for Second‐Order Reliability Analysisarticle · 3 shared references 2008An innovating analysis of the Nataf transformation from the copula viewpointarticle · 3 shared references 2009Do Rosenblatt and Nataf isoprobabilistic transformations really differ?article · 3 shared references

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Year2008

Typearticle

Published2008-05-17

VenueProbabilistic Engineering Mechanics

ISSN-L0266-8920

Languageen

Citations163

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.probengmech.2008.05.001

openalex_workW2005044680

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