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- W2907605294 abstract "In this paper, we define and discuss $mathcal{R}(p,q)$- deformations of basic univariate discrete distributions of the probability theory. We mainly focus on binomial, Euler, Polya and inverse Polya distributions. We discuss relevant $mathcal{R}(p,q)-$ deformed factorial moments of a random variable, and establish associated expressions of mean and variance. Futhermore, we derive a recursion relation for the probability distributions. Then, we apply the same approach to build main distributional properties characterizing the generalized $q-$ Quesne quantum algebra, used in physics. Other known results in the literature are also recovered as particular cases." @default.
- W2907605294 created "2019-01-11" @default.
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- W2907605294 date "2018-12-27" @default.
- W2907605294 modified "2023-09-27" @default.
- W2907605294 title "R(p,q)- analogs of discrete distributions: general formalism and application" @default.
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