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Mathematics
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New Advance of Mathematical Economics
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New Advance of Mathematical Economics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E5: Financial Mathematics".

Deadline for manuscript submissions: closed (20 July 2024) | Viewed by 4224

Special Issue Editors

Prof. Dr. Miltiadis Chalikias

E-Mail Website
Guest Editor
Department of Accounting and Finance, Univercity of West Attica, Aegaleo, Greece
Interests: mathematical statistics (design of experiments); applied statistics
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Dimitrios Kallivokas

E-Mail Website
Guest Editor
Department of Business Administrration, Univercity of West Attica, Aegaleo, Athens, Greece
Interests: statistics education; applied statistics

Special Issue Information

Dear Colleagues,

Mathematical modeling is a valuable tool in Business and Economics. This Special Issue aims to discuss new theoretical insights to the following sections: Mathematical modeling of forecasting and Statistical Analysis, Econometric Models, Financial Mathematics, and Optimization of economic functions. It is our pleasure to invite you to contribute to this Issue by submitting research articles that will be subject to peer-review aiming to contribute to the development of research.

Prof. Dr. Miltiadis Chalikias
Prof. Dr. Dimitrios Kallivokas
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical models for forecasting
  • statistical analysis for forecasting
  • econometric models
  • financial mathematics
  • optimization of economic functions

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

25 pages, 7603 KiB  
Article
Optimizing Portfolio in the Evolutional Portfolio Optimization System (EPOS)
by Nikolaos Loukeris, Yiannis Boutalis, Iordanis Eleftheriadis and Gregorios Gikas
Mathematics 2024, 12(17), 2729; https://doi.org/10.3390/math12172729 - 31 Aug 2024
Cited by 2 | Viewed by 1221
Abstract
A novel method of portfolio selection is provided with further higher moments, filtering with fundamentals in intelligent computing resources. The Evolutional Portfolio Optimization System (EPOS) evaluates unobtrusive relations from a vast amount of accounting and financial data, excluding hoax and noise, to select [...] Read more.
A novel method of portfolio selection is provided with further higher moments, filtering with fundamentals in intelligent computing resources. The Evolutional Portfolio Optimization System (EPOS) evaluates unobtrusive relations from a vast amount of accounting and financial data, excluding hoax and noise, to select the optimal portfolio. The fundamental question of Free Will, limited in investment selection, is answered through a new philosophical approach. Full article
(This article belongs to the Special Issue New Advance of Mathematical Economics)
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24 pages, 1452 KiB  
Article
An Innovative Method for Deterministic Multifactor Analysis Based on Chain Substitution Averaging
by Veselin Mitev and Nikolay Hinov
Mathematics 2024, 12(14), 2215; https://doi.org/10.3390/math12142215 - 15 Jul 2024
Viewed by 979
Abstract
The aims of this paper are to present the methodology, derived mathematical expressions for determining the individual factor influences and the adaptation for the conditions of dynamic deterministic factor analysis and the results of the application of the developed new method for deterministic [...] Read more.
The aims of this paper are to present the methodology, derived mathematical expressions for determining the individual factor influences and the adaptation for the conditions of dynamic deterministic factor analysis and the results of the application of the developed new method for deterministic factor analysis, called the averaged chain substitution method. After formulating the concept of the considered approach, all mathematical expressions used to create models containing up to four factor variables are presented and summarized. The scientific novelty of the study is in the obtained new equations for determining the individual factor influences by the method of averaged chain substitution and the method of analogy for five-factor additive or difference-multiplicative and for five-factor additive or difference-multifactor models with an additive or different part in the numerator of the factor model. The presented mathematical expressions accurately and unambiguously quantify the impact of individual factor influences for all types of factor models and thus significantly expand the applicability of the averaged chain substitution method in the theory and practice of financial-economic analysis. The proposed formalization and algorithmization of the evaluation process makes the method easy to apply by all economic and financial analysts for the purposes of deterministic factor analysis. The methodology was applied to perform a dynamic deterministic factor analysis of the total liquidity of Monbat AD and ELHIM-ISKRA AD for the period 2017–2021, based on the consolidated annual financial statements of the companies, available on the website of the Bulgarian Stock Exchange. Full article
(This article belongs to the Special Issue New Advance of Mathematical Economics)
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25 pages, 340 KiB  
Article
Neural Network Approximation for Time Splitting Random Functions
by George A. Anastassiou and Dimitra Kouloumpou
Mathematics 2023, 11(9), 2183; https://doi.org/10.3390/math11092183 - 5 May 2023
Cited by 2 | Viewed by 1330
Abstract
In this article we present the multivariate approximation of time splitting random functions defined on a box or RN,N∈N, by neural network operators of quasi-interpolation type. We achieve these approximations by obtaining quantitative-type Jackson inequalities engaging the [...] Read more.
In this article we present the multivariate approximation of time splitting random functions defined on a box or RN,N∈N, by neural network operators of quasi-interpolation type. We achieve these approximations by obtaining quantitative-type Jackson inequalities engaging the multivariate modulus of continuity of a related random function or its partial high-order derivatives. We use density functions to define our operators. These derive from the logistic and hyperbolic tangent sigmoid activation functions. Our convergences are both point-wise and uniform. The engaged feed-forward neural networks possess one hidden layer. We finish the article with a great variety of applications. Full article
(This article belongs to the Special Issue New Advance of Mathematical Economics)
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