Abstract
Let X-n:n and X-1:n be the largest and smallest order statistics of random variables X-1, ..., X-n. In this paper, we derive various stochastic relationships among X-n:n and Y-n:n (resp. X-1:n and Y-1:n) of two sets of dependent and homogenous random variables connected with Archimedean copulas. Many illustrations using parametric copula families are also presented.