Minimal integral representations of stable processes

• Autorzy: Rosiński J.
• Języki publikacji: EN

Abstrakty

EN

Minimal integral representations are defined for general stochastic processes and completely characterized for stable processes (symmetric and asymmetric). In the stable case, minimal representations are described by rigid subsets of the Lp-spaces which are investigated here in detail. Exploiting this relationship, various tests for the minimality of representations of stable processes are obtained and used to verify this property for many representations of processes of interest.

Słowa kluczowe

EN

stable processes; stochastic integral representation; isometries on Lp-spaces

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2006
• Tom: Vol. 26, Fasc. 1
• Strony: 121--142
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Rosiński J.

• Department of Mathematics, University of Tennessee Knoxville, TN 39996

Bibliografia

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