Rp,q-multivariate discrete probability distributions

Abstract

We construct the multivariate probability distributions (Pólya, inverse Pólya, hypergeometric and negative hypergeometric) from the generalized quantum deformed algebras. Moreover, we derive the corresponding bivariate probability distributions and determine their properties ($\mathcal{R}\left(p,q\right)$-factorial moments and covariance). Besides, we deduce particular cases of probability distributions from the quantum algebras known in the literature.