A quadratic regression problem for two-state algebras with application to the Central Limit Theorem
Operator Algebras
2009-07-31 v2 Probability
Abstract
We extend a free version of the Laha-Lukacs theorem to probability spaces with two-states. We then use this result to generalize a noncommutative CLT of Kargin to the two-state setting.
Cite
@article{arxiv.0802.0266,
title = {A quadratic regression problem for two-state algebras with application to the Central Limit Theorem},
author = {Marek Bozejko and Wlodzimierz Bryc},
journal= {arXiv preprint arXiv:0802.0266},
year = {2009}
}