New Perspectives in Flexible Probability Distributions and Its Applications

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

Deadline for manuscript submissions: closed (30 January 2024) | Viewed by 1289

Special Issue Editor


E-Mail Website
Guest Editor
Department of Mathematics, University of Luxembourg, 4365 Esch-sur-Alzette, Luxembourg
Interests: flexible modelling; directional statistics; machine learning; sport analytics and sports medicine

Special Issue Information

Dear Colleagues,

Probability distributions are the building blocks of statistical modeling and inference. It is therefore of the utmost importance to know which distribution to use in what circumstances, as wrong choices will inevitably result in a biased analysis. A plethora of new distributions are constantly being proposed, and it is important to be able to compare them and guide practitioners as to which distribution to use when. In this Special Issue, we therefore invite authors to contribute papers that either compare existing distributions or propose new ones. The comparison as well as the newly proposed distributions should be considered within the context of the desiderata of flexible probability distributions: versatility, interpretability, tractability, random number generation, straightforward parameter estimation, and model reduction. These properties should be used to ensure that new models have advantages over existing ones. We hope to see many interesting contributions that explore either real lines, positive real half-lines (including censoring), integers, circles, spheres, toruses, cylinders, or other manifolds.

Dr. Christophe Ley
Guest Editor

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

  • distribution theory
  • flexible modelling
  • modality
  • moments
  • parameter estimation
  • random number generation

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

20 pages, 316 KiB  
Article
On the Interpolating Family of Distributions
by Saralees Nadarajah and Idika E. Okorie
Axioms 2024, 13(1), 70; https://doi.org/10.3390/axioms13010070 - 20 Jan 2024
Viewed by 878
Abstract
A recent paper introduced the interpolating family (IF) of distributions, and they also derived various mathematical properties of the family. Some of the most important properties discussed were the integer order moments of the IF distributions. The moments were expressed as an integral [...] Read more.
A recent paper introduced the interpolating family (IF) of distributions, and they also derived various mathematical properties of the family. Some of the most important properties discussed were the integer order moments of the IF distributions. The moments were expressed as an integral (which were not evaluated) or as finite sums of the beta function. In this paper, more general expressions for moments of any integer order or any real order are derived. Apart from being more general, our expressions converge for a wider range of parameter values. The expressions for entropies are also derived, the maximum likelihood estimation is considered and the finite sample performance of maximum likelihood estimates is investigated. Full article
Show Figures

Figure 1

Back to TopTop