Results 11 to 20 of about 56,903 (265)

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

Nonlinear 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

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

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

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
doaj   +1 more source

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

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
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

On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function

Mathematics, 2022
The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė, Darius Šiaučiūnas   +1 more
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