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Value Distribution of General Dirichlet series. VI

open access: yesNonlinear 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
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On Joint Distribution of General Dirichlet Series

open access: yesNonlinear Analysis, 2003
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
doaj   +3 more sources

Matrix variate Kummer‐Dirichlet distributions [PDF]

open access: yesJournal of Applied Mathematics, 2001
The multivariate Kummer‐Beta and multivariate Kummer‐Gamma families of distributions have been proposed and studied recently by Ng and Kotz. These distributions are extensions of Kummer‐Beta and Kummer‐Gamma distributions. In this article we propose and study matrix variate generalizations of multivariate Kummer‐Beta and multivariate Kummer‐Gamma ...
Arjun K. Gupta   +2 more
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Distribution of Dirichlet L‐functions

open access: yesMathematika, 2023
AbstractIn this article, we study the distribution of values of Dirichlet L‐functions, the distribution of values of the random models for Dirichlet L‐functions, and the discrepancy between these two kinds of distributions. For each question, we consider the cases of and  separately.
Dong, Zikang, Wang, Weijia, Zhang, Hao
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Null Models for Formal Contexts

open access: yesInformation, 2020
Null model generation for formal contexts is an important task in the realm of formal concept analysis. These random models are in particular useful for, but not limited to, comparing the performance of algorithms.
Maximilian Felde   +2 more
doaj   +1 more source

Accelerating Extreme Search of Multidimensional Functions Based on Natural Gradient Descent with Dirichlet Distributions

open access: yesMathematics, 2022
The high accuracy attainment, using less complex architectures of neural networks, remains one of the most important problems in machine learning. In many studies, increasing the quality of recognition and prediction is obtained by extending neural ...
Ruslan Abdulkadirov   +2 more
doaj   +1 more source

Decay Branch Ratio Sampling Method with Dirichlet Distribution

open access: yesEnergies, 2023
The decay branch ratio is evaluated nuclear data related to the decay heat calculation in reactor safety analysis. Decay branch ratio data are inherently subjected to the “sum-to-one” constraint, making it difficult to generate perturbed samples while ...
Yizhen Wang   +5 more
doaj   +1 more source

STATISTICAL MODEL OF AERODYNAMIC IMPACT ON THE LARGE-SPAN COVERAGE

open access: yesInternational Journal for Computational Civil and Structural Engineering, 2023
The aim of the study was to study the possibility of using the Dirichlet distribution as a statistical model of the process of dynamic interaction of large-span structures with aerodynamic load. As an object of research, a model of a hangar building was
Vladimir Erofeev   +5 more
doaj   +1 more source

Zero distribution of Dirichlet L-functions

open access: bronzeAnnales Academiae Scientiarum Fennicae Mathematica, 2016
For \(k\) a positive integer, and \(\chi\) a Dirichlet character modulo \(k,\) let \(L_\chi(s)\) denote the corresponding Dirichlet \(L\)-function. For \(a \in \mathbb{C}\) the zeros of \(L_\chi - a\) are called the \(a\)-points of \(L_\chi\), and the \textit{non-trivial} \(a\)-points are those that lie in the strip \(0 < \mathrm{Re}(s) < A\) for some \
Pei-Chu Hu, Aidi Wu
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