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R(p,q)-multivariate discrete probability distributions

2022/06/18 by Fridolin Melong, Melong, Fridolin
Computer Science · Mathematics · #(2020)17B37 #05A30 #60E05 #81R50 #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #Bayesian Modeling and Causal Inference #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2206.09147

openalex publication_date 2022/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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