Résumé
Predicting natural phenomena modeled by max-stable random fields with Fréchet margins is not simple because these models do not possess finite first and second order moments. In such situations, a Monte Carlo approach based on conditional simulations can be considered. In this paper we examine a recent algorithm set up by Wang and Stoev to conditionally simulate a max-stable random field with discrete spectrum. Besides presenting this algorithm, we provide it with a geometric interpretation and put emphasis on several implementation details to obviate its combinatorial complexity. Along the way, a number of other critical issues are mentioned that are not often addressed in the current practice of conditional simulations. An illustrative example is given.