论文标题

$ \ MATHCAL {R}(P,Q)$ - 多元离散概率分布

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

论文作者

Melong, Fridolin

论文摘要

我们从广义量子代数中构建了多元概率分布(Pólya,逆Pólya,超几何和负超测定法)。此外,我们得出了双变量概率分布并确定其属性($ \ MATHCAL {r}(p,q)$ - fortorial momments and“协方差)”。此外,我们从文献中已知的量子代数中得出了特定的概率分布情况。

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.

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