English

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

Mathematical Physics 2023-05-30 v1 math.MP

Abstract

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

Keywords

Cite

@article{arxiv.2305.18194,
  title  = {Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic Distributions},
  author = {Fridolin Melong and Mahouton Norbert Hounkonnou},
  journal= {arXiv preprint arXiv:2305.18194},
  year   = {2023}
}
R2 v1 2026-06-28T10:49:24.441Z