Noncommutative characterization of free Meixner processes ∗
نویسنده
چکیده
In this article we give a purely noncommutative criterion for the characterization of free Meixner random variables. We prove that some families of free Meixner distributions can be described in terms of the conditional expectation, which has no classical analogue. We also show a generalization of Speicher’s formula (relating moments and free cumulants) and establish a new relation in free probability.
منابع مشابه
Laha - Lukacs properties of some free processes ∗
We study the Laha-Lukacs property of the free Meixner laws (processes). We prove that some families of free Meixner distribution have the linear regression function. We also show that this families have the property of quadratic conditional variances.
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تاریخ انتشار 2013