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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-8, author = {Marek Bo\.zejko and Hiroaki Yoshida}, title = {Generalized q-deformed Gaussian random variables}, journal = {Banach Center Publications}, volume = {72}, year = {2006}, pages = {127-140}, zbl = {1109.46053}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-8} }
Marek Bożejko; Hiroaki Yoshida. Generalized q-deformed Gaussian random variables. Banach Center Publications, Tome 72 (2006) pp. 127-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-8/