Genest, Christian; Quesada Molina, José Juan; Rodríguez Lallena, José Antonio On the impossibility of constructing distributions with fixed multivariate marginals using copulas. (De l’impossibilité de construire des lois à marges multidimensionnelles données à partir de copules.) (French) Zbl 0832.60020 C. R. Acad. Sci., Paris, Sér. I 320, No. 6, 723-726 (1995). Summary: Copulas, also known as dependence functions and uniform representations, provide a standard way of constructing multivariate distributions with fixed marginals. It is shown here, in two different ways, that the same tool is inadequate to build distributions with multivariate marginals. Cited in 9 Documents MSC: 60E05 Probability distributions: general theory 60A10 Probabilistic measure theory Keywords:copulas; dependence functions; multivariate marginals PDFBibTeX XMLCite \textit{C. Genest} et al., C. R. Acad. Sci., Paris, Sér. I 320, No. 6, 723--726 (1995; Zbl 0832.60020)