Geodesic
On Q-independence, limit theorems and q-Gaussian distribution
Studia Mathematica, Tome 129 (1998) no. 2, pp. 113-135

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We formulate the notion of Q-independence which generalizes the classical independence of random variables and free independence introduced by Voiculescu. Here Q stands for a family of polynomials indexed by tiny partitions of finite sets. The analogs of the central limit theorem and Poisson limit theorem are proved. Moreover, it is shown that in some special cases this kind of independence leads to the q-probability theory of Bożejko and Speicher.
DOI : 10.4064/sm-129-2-113-135

Marcin Marciniak 1

1 
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Marcin Marciniak. On Q-independence, limit theorems and q-Gaussian distribution. Studia Mathematica, Tome 129 (1998) no. 2, pp. 113-135. doi: 10.4064/sm-129-2-113-135

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