About tests of the "simplifying" assumption for conditional copulas

Alexis Derumigny*, Jean David Fermanian

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)
47 Downloads (Pure)


We discuss the so-called "simplifying assumption" of conditional copulas in a general framework. We introduce several tests of the latter assumption for non- and semiparametric copula models. Some related test procedures based on conditioning subsets instead of point-wise events are proposed. The limiting distributions of such test statistics under the null are approximated by several bootstrap schemes, most of them being new. We prove the validity of a particular semiparametric bootstrap scheme. Some simulations illustrate the relevance of our results.

Original languageEnglish
Pages (from-to)154-197
Number of pages44
JournalDependence Modeling
Issue number1
Publication statusPublished - 6 Sept 2017
Externally publishedYes


  • Bootstrap
  • Conditional copula
  • Simplifying assumption


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