Results 11 to 20 of about 166,082,168 (134)

Weak convergence of pseudo-probability measures and interval-valued pseudo-probability measures [PDF]

, 2021
Weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo- probability measures is investigated.The equivalent conditions of g-weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo-probability measures are proven.
Duraković, Nataša
core   +8 more sources

Weak Convergence of Probability Measures Revisited [PDF]

, 1987
The hypo-convergence of upper semicontinuous functions provides a natural framework for the study of the convergence of probability measures. This approach also yields some further characterizations of weak convergence and tightness.
Salinetti, G., Wets, R.J.-B.
core   +3 more sources

Weak Convergence of Probability Measures on Hyperspaces with the Upper Fell-Topology [PDF]

Bulletin of the Iranian Mathematical Society
AbstractLet E be a locally compact second countable Hausdorff space and $$\mathcal {F}$$ F the pertaining family of all closed sets. We endow $$\mathcal {F}$$ F respectively with the Fell-topology, the upper Fell topology or the upper Vietoris-topology and investigate weak ...
Ferger, Dietmar
core   +4 more sources

Multivariate normal approximation in geometric probability [PDF]

, 2008
Consider a measure μλ = Σx ξx δx where the sum is over points x of a Poisson point process of intensity λ on a bounded region in d-space, and ξx is a functional determined by the Poisson points near to x, i.e.
Penrose, Mathew D., Wade, Andrew R.
core   +4 more sources

A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

Nonlinear Analysis, 2008
In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained.
V. Balinskaitė, V. Laurinčikas
doaj   +1 more source

Gibbs Distribution and the Repairman Problem

Mathematics, 2023
In this paper, we obtain weak convergence results for a family of Gibbs measures depending on the parameter θ>0 in the following form dPθ(x)=Zθexp−Hθ(x)/θdQ(x), where we show that the limit distribution is concentrated in the set of the global minima of ...
Hassan Chetouani, Nikolaos Limnios
doaj   +1 more source

Value-distribution of twisted L-functions of normalized cusp forms

Lietuvos Matematikos Rinkinys, 2010
A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Alesia Kolupayeva
doaj   +1 more source

On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function

Mathematics, 2023
In the paper, it is obtained that there are infinite discrete shifts Ξ(s+ikh), h>0, k∈N0 of the Mellin transform Ξ(s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach
Virginija Garbaliauskienė, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
doaj   +1 more source

Optimal Weak Order and Approximation of the Invariant Measure with a Fully-Discrete Euler Scheme for Semilinear Stochastic Parabolic Equations with Additive Noise

Mathematics, 2023
In this paper, we consider the ergodic semilinear stochastic partial differential equation driven by additive noise and the long-time behavior of its full discretization realized by a spectral Galerkin method in spatial direction and an Euler scheme in ...
Qiu Lin, Ruisheng Qi
doaj   +1 more source

Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function

Axioms
In the paper, we prove a limit theorem in the sense of the weak convergence of probability measures for the modified Mellin transform Z(s), s=σ+it, with fixed 1 ...
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
doaj   +1 more source