Work

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

Year: 2022

Type: preprint

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($\mathcal{R}(p,q)$-factorial moments and covariance). Besides, we deduce particular cases of probability distributions from the quantum algebras known in the literature.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.09147

Author: Melong, Fridolin

Institution: University of Zurich

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: G1822835981, Super-Virasoro algebras, matrix models and R(p, q)-deformed quantum algebras

OpenAlex ID: W4283324053

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