Results 11 to 20 of about 63,676 (305)

Uniform Convergence of Probability Measures: Topological Criteria [PDF]

open access: yesJournal of Multivariate Analysis, 1994
The paper deals with the extensions of Polya's theorem. Uniform convergence of probability measures is analyzed by topologizing the space of events. A generic version of the results of the paper reads: narrow convergence to a \(\tau\)-continuous probability measure implies uniform convergence on every \(\tau\)-compact subclass of sets, where \(\tau ...
LUCCHETTI ROBERTO   +2 more
openaire   +4 more sources

Weak convergence of probability measures in spaces of smooth functions [PDF]

open access: yesStochastic Processes and their Applications, 1986
The paper deals with conditions of weak convergence of measures on the space \(C^k\) of \(k\)-times differentiable functions defined on \(\mathbb R^n\) (or on a ball of \(\mathbb R^n)\) with values in \(\mathbb R^N\) \((N\) and \(n\) are positive integers). The author has found necessary and sufficient conditions for tightness of a sequence of measures
Richard J. Wilson, Wilson, RJ
openaire   +4 more sources

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

open access: yes, 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   +6 more sources

Weak Convergence of Probability Measures Revisited [PDF]

open access: yes, 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.
openaire   +2 more sources

Multivariate normal approximation in geometric probability [PDF]

open access: yes, 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, MD   +5 more
core   +2 more sources

A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function

open access: yesNonlinear Analysis, 2007
In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.
A. Laurinčikas
doaj   +1 more source

Concentration inequalities for upper probabilities

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain a Bernstein-type concentration inequality and McDiarmid’s inequality under upper probabilities for exponential independent random variables.
Yuzhen Tan
doaj   +1 more source

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

open access: yesNonlinear 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

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

open access: yesLietuvos 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 Convergence Properties of a Stochastic Trust-Region Method with Inexact Restoration

open access: yesAxioms, 2022
We study the convergence properties of SIRTR, a stochastic inexact restoration trust-region method suited for the minimization of a finite sum of continuously differentiable functions.
Stefania Bellavia    +2 more
doaj   +1 more source

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