bm-Central Limit Theorems associated with non-symmetric positive cones

• Autorzy: Oussi Lahcen , Wysoczański Janusz

Identyfikatory

DOI

10.19195/0208-4147.39.1.12

• Języki publikacji: EN

Abstrakty

EN

Analogues of the classical Central Limit Theorem are proved in the non-commutative setting of random variables which are bm-independent and indexed by elements of positive non-symmetric cones, such as the circular cone, sectors in Euclidean spaces and the Vinberg cone. The geometry of the cones is shown to play a crucial role and the related volume characteristics of the cones is shown.

Słowa kluczowe

EN

noncommutative probability; central limit theorem; bm-independence; non-symmetric positive cones; Vinberg cone; circular cone

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2019
• Tom: Vol. 39, Fasc. 1
• Strony: 183--197
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Oussi Lahcen

• Faculty of Sciences and Techniques, Hassan 1 University, Casablanca road, km 3.5 BP 577, Settat, Morocco

autor

Wysoczański Janusz

• Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

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