Classical versions of q-Gaussian processes: conditional moments and Bell's inequality

Abstract

We show that classical processes corresponding to operators what satisfy a q-commutative relation have linear regressions and quadratic conditional variances. From this we deduce that Bell's inequality for their covariances can be extended from q=-1 to the entire range -1<q<1.Comment: LaTeX, 12 pages. Minor corrections (marked at the begining of the file) after print versio