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

  1. Lahcen Oussi
  2. Janusz Wysoczański

Abstract

Analogues of the classical Central Limit Theorem are proved in the noncommutative setting of random variables which are bmindependent 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.

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Probability and Mathematical Statistics

39, z. 1, 2019

Pages from 183 to 197

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