Results 11 to 20 of about 3,271,458 (133)

Approximation of the Stieltjes Integral and Applications in Numerical Integration [PDF]

, 2003
Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand.
Cerone, Pietro, Dragomir, Sever S
core   +6 more sources

Approximating the Stieltjes Integral via the Darst-Pollard Inequality [PDF]

, 2007
An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation ...
S. S. Dragomir, A. Sofo, Dragomir, Sever S, S.S. Dragomir, Sofo, Anthony   +4 more
core   +7 more sources

Enriched Pitman-Yor processes. [PDF]

Scand Stat Theory Appl
Abstract Bayesian non‐parametrics has evolved into a broad area encompassing flexible methods for Bayesian inference, combinatorial structures, tools for complex data reduction, and more. Discrete prior laws play an important role in these developments, and various choices are available nowadays.
Rigon T, Petrone S, Scarpa B.
europepmc   +2 more sources

Approximating the Stieltjes Integral for (φ, ф)-Lipschitzian Integrators and Applications [PDF]

, 2007
Approximations for the Stieltjes integral with (φ, ф)−Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalised trapezoid and Ostrowski inequalities are also ...
Dragomir, Sever S
core   +5 more sources

Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]

, 2006
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Hölder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Hölder continuous ...
Cheung, Wing Sum, Dragomir, Sever S
core   +4 more sources

Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]

, 2005
Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core   +6 more sources

Freezing limits for Calogero–Moser–Sutherland particle models

Studies in Applied Mathematics, Volume 151, Issue 4, Page 1230-1281, November 2023., 2023
Abstract One‐dimensional interacting particle models of Calogero–Moser–Sutherland type with N particles can be regarded as diffusion processes on suitable subsets of RN$\mathbb {R}^N$ like Weyl chambers and alcoves with second‐order differential operators as generators of the transition semigroups, where these operators are singular on the boundaries ...
Michael Voit
wiley   +1 more source

Logistic or not Logistic?

Statistica Neerlandica, Volume 77, Issue 4, Page 429-443, November 2023., 2023
We propose a new class of goodness‐of‐fit tests for the logistic distribution based on a characterization related to the density approach in the context of Stein's method. This characterization‐based test is a first of its kind for the logistic distribution. The asymptotic null distribution of the test statistic is derived and it is shown that the test
James S. Allison, Bruno Ebner, Marius Smuts   +2 more
wiley   +1 more source

Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process

Journal of the London Mathematical Society, Volume 108, Issue 1, Page 273-308, July 2023., 2023
Abstract We study the finite‐temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as well as a discrete version of the integro‐differential Painlevé II equation of Amir–Corwin–Quastel, and we compute initial conditions for the Poissonization parameter
Mattia Cafasso, Giulio Ruzza
wiley   +1 more source

Central Limit Theorem for Linear Eigenvalue Statistics of Non‐Hermitian Random Matrices

Communications on Pure and Applied Mathematics, Volume 76, Issue 5, Page 946-1034, May 2023., 2023
Abstract We consider large non‐Hermitian random matrices X with complex, independent, identically distributed centred entries and show that the linear statistics of their eigenvalues are asymptotically Gaussian for test functions having derivatives. Previously this result was known only for a few special cases; either the test functions were required ...
Giorgio Cipolloni, László Erdős, Dominik Schröder   +2 more
wiley   +1 more source