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2012 Laha-Lukacs properties of some free processes
Wiktor Ejsmont
Author Affiliations +
Electron. Commun. Probab. 17: 1-8 (2012). DOI: 10.1214/ECP.v17-1865

Abstract

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.

Citation

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Wiktor Ejsmont. "Laha-Lukacs properties of some free processes." Electron. Commun. Probab. 17 1 - 8, 2012. https://doi.org/10.1214/ECP.v17-1865

Information

Accepted: 9 March 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1256.46037
MathSciNet: MR2900354
Digital Object Identifier: 10.1214/ECP.v17-1865

Subjects:
Primary: 46L54
Secondary: 46L53

Keywords: conditional expectation , free cumulants , Free Meixner law , Laha-Lukacs theorem , noncommutative quadratic regression , von Neumann algebras

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