On Hilbert C*-module-valued Random Variables

In this paper random variables that take their values from a Hilbert <i>C</i>*-module are defined and three definitions for the mean, covariance operator, and Gaussian distribution of these random variables are given and it is shown that these definitions are equivalent. Furthermore, the...

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Bibliographic Details
Main Author: K. Shafie
Format: Article
Language:English
Published: Atlantis Press 2015-11-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Online Access:https://www.atlantis-press.com/article/25845141.pdf