$\mathcal{R}(p,q)$-multivariate discrete probability distributions

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