Associative Copulas: A Survey

Copulas—functions that join multivariate distribution functions to their one-dimensional margins—are special cases of binary 1-Lipschitz aggregation functions, commonly used in aggregation processes. Here we consider a significant class of copulas: Associative copulas. We explore briefly the subclass of Archimedean copulas, and some of the properties and applications of associative copulas, such as the simultaneous associativity, the Kendall distribution functions, topological aspects, etc. Finally, some open problems are posed.

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