On the maximum and minimum of multivariate Pareto random variables

Abstract. Aksomaitis and Burauskaite-Harju [Information Technology and Control, 38, 2009, 301-302] studied the distribution of max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the multivariate normal distribution. Here, we study the moments of min(X1, X2,..., Xp) and max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the most commonly known multivariate Pareto distribution. Multivariate Pareto distributions are most relevant for modeling extreme values.