On the Association of Sum- and Max- Stable Processes

Details On the Association of Sum- and Max- Stable Processes On the Association of Sum- and Max- Stable Processes

2009-10-12

arxiv.org/abs/0910.2069v1

Mathematics

Probability

Scientific paper

We address the notion of association of sum- and max- stable processes from the perspective of linear and max-linear isometries. We establish the appealing results that these two classes of isometries can be identified on a proper space (the extended positive ratio space). This yields a natural way to associate to any max-stable process a sum-stable process. By using this association, we establish connections between structural and classification results for sum- and max- stable processes.

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