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Laha-Lukacs properties of some free processes

   
@article{ECP1865,
	author = {Wiktor Ejsmont},
	title = {Laha-Lukacs properties of some free processes},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Free Meixner law; conditional expectation; free cumulants; Laha-Lukacs theorem; noncommutative quadratic regression; von Neumann algebras.},
	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.
},
	pages = {no. 13, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-1865},    
        url = {http://ecp.ejpecp.org/article/view/1865}}