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arXiv · 2305.18194

Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic Distributions

Fridolin Melong·Mahouton Norbert Hounkonnou
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Abstract

In this paper, we characterize the multivariate uniform probability distribution of the first and second kinds in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Their bivariate distributions and related properties, namely ($\mathcal{R}(p,q)$-mean, $\mathcal{R}(p,q)$-variance and $\mathcal{R}(p,q)$-covariance) are computed and discussed. Particular cases corresponding to quantum algebras existing in literature are deduced.

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Fridolin Melong, Mahouton Norbert Hounkonnou. 2023-05-29. Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic Distributions. https://arxiv.org/abs/2305.18194

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