Abstract
We define discrete copulas on a grid of the unit square and show that with each discrete copula there is associated, in a natural way, a bistochastic matrix. This is used in order to introduce the product of discrete copulas. Discrete copulas of order <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$n$</tex> are the smallest convex set containing the irreducible discrete copulas of order <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$n$</tex> introduced by Mayor .
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