$\mathcal{R}(p,q)$-multivariate discrete probability distributions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- 10.48550/arXiv.2206.09147
- arXiv:
- arXiv:2206.09147
- Bibcode:
- 2022arXiv220609147M
- Keywords:
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- Mathematics - Quantum Algebra;
- (2020)17B37;
- 81R50;
- 60E05;
- 05A30