Bound and asymptotic expansions for the distribution of the maximum of random fields

J. M. Azaïs

Université Paul Sabatier, Toulouse


The distribution of the maximum of random fields  is a relevant topics in spatial statistics, asymptotic statistics and waves modelling. We will present several method to give bounds, or expansion for large levels, to this distribution, namely:


Links between the different methods are outlined  and  performances and complexity are compared.