Association criteria for m-infinitely-divisible and u-infinitely-divisible random sets

• Autorzy: Karłowska-Pik J. , Schreiber T.
• Języki publikacji: EN

Abstrakty

EN

We study random convex compact sets infinitely divisible with respect to the Minkowski addition and establish a sufficient condition for their association as well as a necessary and sufficient condition for the so-called infinite association. Further, we show also that every union infinitely-divisible random closed set and every convex compact set infinitely divisible for convex hulls of unions are associated.

Słowa kluczowe

EN

association; infinite association; M-infinitedivisibility; U-infinite-divisibility; infinite divisibility for convex hulls of unions; random closed set; random convex compact set

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2008
• Tom: Vol. 28, Fasc. 2
• Strony: 169--178
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Karłowska-Pik J.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland

autor

Schreiber T.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland

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