Next Article in Journal
From Circular to Bessel Functions: A Transition through the Umbral Method
Previous Article in Journal
Stokes’ First Problem for Viscoelastic Fluids with a Fractional Maxwell Model
Article Menu

Export Article

Open AccessArticle
Fractal Fract 2017, 1(1), 8; doi:10.3390/fractalfract1010008

Fractional Divergence of Probability Densities

P.O. Box 123AA, Adelaide, SA 5000, Australia
Received: 12 September 2017 / Revised: 18 October 2017 / Accepted: 19 October 2017 / Published: 25 October 2017
View Full-Text   |   Download PDF [19497 KB, uploaded 25 October 2017]   |  

Abstract

The divergence or relative entropy between probability densities is examined. Solutions that minimise the divergence between two distributions are usually “trivial” or unique. By using a fractional-order formulation for the divergence with respect to the parameters, the distance between probability densities can be minimised so that multiple non-trivial solutions can be obtained. As a result, the fractional divergence approach reduces the divergence to zero even when this is not possible via the conventional method. This allows replacement of a more complicated probability density with one that has a simpler mathematical form for more general cases. View Full-Text
Keywords: divergence; fractional divergence; probability densities divergence; fractional divergence; probability densities
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Alexopoulos, A. Fractional Divergence of Probability Densities. Fractal Fract 2017, 1, 8.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fractal Fract EISSN 2504-3110 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top