Results 11 to 20 of about 65,615 (264)

Value Distribution of General Dirichlet series. VI

Nonlinear Analysis, 2005
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series is obtained.
A. Laurinčikas
doaj   +1 more source

Concentration inequalities for upper probabilities

Journal 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

Uniform Convergence of Probability Measures: Topological Criteria

Journal 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, SALINETTI, Gabriella, WETS ROGER J. B.   +2 more
openaire   +3 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

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 convergence of conditional probability measures [PDF]

Kodai Mathematical Journal, 1985
In an information-theoretical framework, the author discusses some relationships between the convergence of probability measures conditioned on sample mean events and certain minimum I-divergences (resp. Kullback- Leibler information numbers) under constraints.
openaire   +3 more sources

µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces

Mathematics
This paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
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On the Convergence Properties of a Stochastic Trust-Region Method with Inexact Restoration

Axioms, 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 , Benedetta Morini , Simone Rebegoldi   +2 more
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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

A Discrete Limit Theorem for a Collection of Epstein Zeta-Functions

Jaunųjų Mokslininkų Darbai
In this paper, the discrete limit theorem of Bohr-Jessen type with an explicitly given limit measure for a collection of Epstein zeta-functions is given. An extra condition is required to specify the form of the limit measure.
Martynas Šiupienis, Renata Macaitienė
doaj   +1 more source