59 research outputs found
R(p,q)- analogs of discrete distributions: general formalism and application
In this paper, we define and discuss - deformations of
basic univariate discrete distributions of the probability theory. We mainly
focus on binomial, Euler, P\'olya and inverse P\'olya distributions. We discuss
relevant 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 Quesne quantum algebra, used in physics. Other known results
in the literature are also recovered as particular cases
Multinomial Probability Distribution and Quantum Deformed Algebras
An examination is conducted on the multinomial coefficients derived from generalized quantum deformed algebras, and on their recurrence relations. The R(p, q)-deformed multinomial probability distribution and the negative R(p, q)-deformed multinomial probability distribution are constructed, and the recurrence relations are determined.
From our general result, we deduce particular cases that correspond to quantum algebras considered in the literature
Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
In this paper, we construct the Heisenberg-Virasoro algebra in the framework
of the -deformed quantum algebras. Moreover, the
-Heisenberg-Witt -algebras is also investigated.
Furthermore, we generalize the notion of the elliptic hermitian matrix models.
We use the constraints to evaluate the -differential
operators of the Virasoro algebra and generalize it to higher order
differential operators. Particular cases corresponding to quantum algebras
existing in literature are deduced
Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic Distributions
In this paper, we characterize the multivariate uniform probability
distribution of the first and second kinds in the framework of the
-deformed quantum algebras. Their bivariate distributions and
related properties, namely (-mean,
-variance and -covariance) are computed and
discussed. Particular cases corresponding to quantum algebras existing in
literature are deduced
Erratum to: Transoral laser microsurgery for the treatment of oropharyngeal cancer: the Dalhousie University experience
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