%0 Journal Article
%T Extremal behavior of pMAX processes
%A Helena Ferreira
%A Marta Ferreira
%J Statistics
%D 2012
%I arXiv
%X The well-known M4 processes of Smith and Weissman are very flexible models for asymptotically dependent multivariate data. Extended M4 of Heffernan \emph{et al.} allows to also account for asymptotic independence. In this paper we introduce a more general multivariate model comprising asymptotic dependence and independence, which has the extended M4 class as a particular case. We study properties of the proposed model. In particular, we compute the multivariate extremal index, tail dependence and extremal coefficients.
%U http://arxiv.org/abs/1210.7430v1