Stationary min-stable stochastic processes
We consider the class of stationary stochastic processes whose margins are jointly min-stable. We show how the scalar elements can be generated by a single realization of a standard homogeneous Poisson process on the upper half-strip \([0,1]\times R_+\) and a group of \(L_ 1-isometries\). We include a Dobrushin-like result for the realizations in continuous time.
scientific article; zbMATH DE number 3923773