非对称正锥的中心极限定理

Pub Date : 2019-06-10 DOI:10.19195/0208-4147.39.1.12

Lahcen Oussi, J. Wysoczánski

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引用次数: 2

摘要

在随机变量的非交换集合中证明了经典中心极限定理的相似性，这些随机变量是bm独立的，并由正非对称锥的元素索引，如圆锥、欧几里得空间中的扇区和Vinberg锥。锥体的几何形状起着至关重要的作用，并显示了锥体的相关体积特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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