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Stationary min-stable stochastic processes

Probability Theory and Related Fields, 1984
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 \(L_ 1-isometries\).
de Haan, L. F. M., Pickands, James III
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