par Bruss, F Thomas ;Grübel, Rudolf
Référence The Annals of applied probability, 13, 4, page (1252-1263)
Publication Publié, 2003-11
Article révisé par les pairs
Résumé : Let Mn be the maximum of a sample X1,...,X n from a discrete distribution and let Wn be the number of i's, 1 ≤ i ≤ n, such that Xi=Mn. We discuss the asymptotic behavior of the distribution of Wn as n → ∞. The probability that the maximum is unique is of interest in diverse problems, for example, in connection with an algorithm for selecting a winner, and has been studied by several authors using mainly analytic tools. We present here an approach based on the Sukhatme-Rényi representation of exponential order statistics, which gives, as we think, a new insight into the problem.