Results 21 to 30 of about 3,271,458 (133)

The Infinitely Divisible Characteristic Function of Compound Poisson Distribution as the Sum of Variational Cauchy Distribution

Journal of Physics: Conference Series, 2019
The new particular compound Poisson distribution is introduced as the sum of independent and identically random variables of variational Cauchy distribution with the number of random variables has Poisson distribution.
D. Devianto, Sarah, H. Yozza, F. Yanuar, Maiyastri   +4 more
semanticscholar   +1 more source

New Inequalities of Grüss Type for the Stieltjes Integral and Applications [PDF]

, 2002
Sharp bounds of two Čebyšev functionals for the Stieltjes integrals and applications for quadrature rules are ...
Dragomir, Sever S
core   +5 more sources

Distances between zeroes and critical points for random polynomials with i.i.d. zeroes [PDF]

Electronic Journal of Probability, 2018
Consider a random polynomial $Q_n$ of degree $n+1$ whose zeroes are i.i.d. random variables $\xi_0,\xi_1,\ldots,\xi_n$ in the complex plane. We study the pairing between the zeroes of $Q_n$ and its critical points, i.e. the zeroes of its derivative $Q_n'$
Z. Kabluchko, Hauke Seidel
semanticscholar   +1 more source

The Beesack-Darst-Pollard Inequalities and Approximation of the Riemann-Stieltjes Integral [PDF]

, 2007
Utilising the Beesack version of the Darst-Pollard inequality, some error bounds for approximating the Riemann-Stieltjes integral are given.
Dragomir, Sever S, Barnett, Neil S
core   +3 more sources

Spectral Curves, Variational Problems and the Hermitian Matrix Model with External Source [PDF]

Communications in Mathematical Physics, 2019
We consider the hermitian random matrix model with external source and general polynomial potential, when the source has two distinct eigenvalues but is otherwise arbitrary.
A. Martínez-Finkelshtein, Guilherme L. F. Silva   +1 more
semanticscholar   +1 more source

Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]

, 2002
23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo, De La Calle Ysern, B. [0000-0003-2842-2611], Guadalupe Hernández, J.J., Guadalupe, José Javier, B. De La Calle Ysern, Lopez Lagomasino, G. [0000-0002-9137-9188], G. López Lagomasino, J. J. Guadalupe Hernández, M. Bello Hernández, Bello, Manuel, Calle Ysern, Bernardo de la, Bello Hernández, M. [0000-0002-1833-4688]   +11 more
core   +1 more source

Two short pieces around the Wigner problem [PDF]

Journal of Physics A: Mathematical and Theoretical, 2018
We revisit the classic Wigner semi-circle from two different angles. One consists in studying the Stieltjes transform directly on the real axis, which does not converge to a fixed value but follows a Cauchy distribution that depends on the local ...
J. Bouchaud, M. Potters
semanticscholar   +1 more source

Functionals of dirichlet processes, the cifarelli-regazzini identity and beta-gamma processes [PDF]

, 2005
Suppose that P θ (g) is a linear functional of a Dirichlet process with shape OH, where 0 > 0 is the total mass and H is a fixed probability measure.
Lancelot F. James
semanticscholar   +1 more source

On the relation between Darboux transformations and polynomial mappings [PDF]

Journal of Approximation Theory, 2012
Let d μ be a probability measure on [ 0 , + ∞ ) such that its moments are finite. Then the Cauchy–Stieltjes transform S of d μ is a Stieltjes function, which admits an expansion into a Stieltjes continued fraction.
Maxim S. Derevyagin
semanticscholar   +1 more source

Some Limiting Laws in Non-Commutative Probability

Axioms
In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions.
Ayed. R. A. Alanzi, Raouf Fakhfakh, Fatimah Alshahrani   +2 more
doaj   +1 more source