Generalized $q$-deformed Gaussian random variables
Volume 73 / 2006
Banach Center Publications 73 (2006), 127-140
MSC: Primary 46L53; Secondary 81S05.
DOI: 10.4064/bc73-0-8
Abstract
We produce generalized $q$-Gaussian random variables which have two parameters of deformation. One of them is, of course, $q$ as for the usual $q$-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.
