Advances in Functional Analysis: Theoretical Results and Applications to Statistical Inference and Entropy

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 93

Special Issue Editors


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Guest Editor
Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania
Interests: functional analysis; statistics; probabilities; information theory; approximation theory; operational research

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Guest Editor
1. "Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania
2. "Costin C. Kiriţescu" National Institute of Economic Research, Calea 13 Septembrie 13, 050711 Bucharest, Romania 3. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania
Interests: statistics; decision theory; operational research; variational inequalities; equilibrium theory; generalized convexity; information theory; biostatistics; actuarial statistics; functional analysis; approximation theory
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Special Issue Information

Dear Colleagues,

Functional analysis has its roots in the study of function spaces and in the formulation of properties of transformations of functions that define, for example, continuous or unitary operators between function spaces. The core of this branch is the study of vector spaces endowed with some kind of limit-related structure (topology, norm, inner product) and the linear functions defined in these spaces that suitably respect such structures. Functional analysis is helpful to study and solve both linear and nonlinear problems posed in a normed space that is no longer finite-dimensional, a situation that arises naturally in many concrete problems.

This fundamental area of mathematics is also used in many other domains. Among these areas, there has been a great deal of interest in applications to statistical inference and information measures, such as entropy and divergence.  This general topic of information measures (especially entropy and divergence measures) can be considered a broad scientific field that aims to develop methods and techniques for the inference and modelling of various phenomena in many domains.

In order to establish the degree of similarity and the degree of closeness between functions, distributions or populations, we can use the concept of distance. Thus, the distance is related to inferential statistics and modelling, with applications in reliability theory, survival analysis, actuarial science, multivariate analysis, regression analysis, portfolio optimization, etc. In this way, the significant importance of entropy and divergence measures makes this a topic of interest for researchers, scientists, engineers, computer experts, medical experts, data analysts and so on.

This Special Issue is focused on theoretical problems of functional analysis, but also on applications to the aforementioned fields. More specifically, it intends to cover recent developments in functional analysis and presents new theoretical issues that have not previously been presented in the literature, as well as solutions to important practical problems and case studies illustrating the application methodology. Original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • Approximation theory;
  • Equilibrium theory;
  • Numerical functional analysis;
  • Function spaces;
  • Banach spaces;
  • Variational inequalities;
  • Multivariate analysis;
  • Fixed-point theorems;
  • Applied and theoretical statistics;
  • Statistical inference;
  • Information theory;
  • Entropy;
  • Divergence measures;
  • Reliability theory;
  • Survival analysis;
  • Actuarial science.

We look forward to receiving your contributions.

Dr. Răzvan-Cornel Sfetcu
Prof. Dr. Vasile Preda
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. Axioms is an international peer-reviewed open access monthly 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 2400 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

  • functional analysis
  • statistical inference
  • information theory
  • entropy
  • divergence measure
  • survival analysis
  • actuarial science

Published Papers

This special issue is now open for submission.
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