Goodness-of-fit tests for parametric families of Archimedean copulas

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A stochastic representation and sampling algorithm for nested Archimedean copulas (2012, methodology): “For an application of Archimedean copulas to the modelling of stock returns, see [5].”
Copula goodness-of-fit testing: an overview and power comparison (2009, methodology): “The Rosenblatt transformation, proposed by Rosenblatt (1952) , transforms a set of dependent variables into a set of independent U [0,1] variables, given the multivariate distribution.”
Hierarchies of Archimedean copulas (2010, methodology): “families of Archimedean copulas are given by Savu and Trede (2008). The algorithm for computing the density (6) has been implemented in R (www.”
Inference in multivariate Archimedean copula models (2011, methodology): “4 would be doomed to fail and goodness-of-fit tests based on Kn,d could not be consistent for Archimedean copula models (Genest et al. 2006; Savu and Trede 2008 ).”
An Overview of the Goodness-of-Fit Test Problem for Copulas (2012, methodology): “All the previously proposed test statistics can be applied when C is an assumed particular Archimedean family, as in [90], [83].”
Operational Risk Quantification Using Extreme Value Theory and Copulas: From Theory to Practice (2009, unknown): “To fit the parameters using maximum of likelihood, we use the close form expressions provided in Savu and Trede (2008).”