Stochastic dominance and statistical preference for random variables coupled by an Archimedean copula or by the Fr e ´ chet-Hoeffding upper bound

Stochastic dominance and statistical preference are stochastic orders with different interpretations: the former is based on the comparison of the marginal distributions while the latter is based on the joint distribution. Sklar's Theorem allows expressing the joint distribution in terms of the marginals by means of a copula. This paper investigates the relationship between these two stochastic orders for comonotone random variables and random variables coupled by an Archimedean copula.