par Lefèvre, Claude ;Utev, Sergey
Référence Journal of Applied Probability, 33, 2, page (285-310)
Publication Publié, 1996-06
Article révisé par les pairs
Résumé : The paper is first concerned with a comparison of the partial sums associated with two sequences of n exchangeable Bernoulli random variables. It then considers a situation where such partial sums are obtained through an iterative procedure of branching type stopped at the first-passage time in a linearly decreasing upper barrier. These comparison results are illustrated with applications to certain urn models, sampling schemes and epidemic processes. A key tool is a non-standard hierarchical class of stochastic orderings between discrete random variables valued in {0, 1,..., n}.