Durante, Fabrizio.; Sempi, Carlo On the characterization of a class of binary operations on bivariate distribution functions. (English) Zbl 1121.60010 Publ. Math. Debr. 69, No. 1-2, 47-63 (2006). Summary: We characterize the class of binary operations on bivariate distribution functions that are induced pointwise by a two-place real function (e.g. mixtures) and, in particular, we study these operations on the class of distribution functions whose one-dimensional margins are uniform (i.e. copula). Cited in 8 Documents MSC: 60E05 Probability distributions: general theory 60B10 Convergence of probability measures 62E10 Characterization and structure theory of statistical distributions Keywords:distribution functions; copula; P-increasing function; pointwise induced operation PDFBibTeX XMLCite \textit{Fabrizio. Durante} and \textit{C. Sempi}, Publ. Math. Debr. 69, No. 1--2, 47--63 (2006; Zbl 1121.60010)