Fractional Rényi entropy

• Type: Article in International Scientific Journal
• Date: 2019

Authors

J. A. Tenreiro Machado (Author) Other; António M. Lopes (Author) FEUP

Journal

Title: European Physical Journal Plus

Vol. 134 No. 5

Pages: 1-10

ISSN: 2190-5444

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 9 Citations

Other information

Authenticus ID: P-00Q-M78

DOI: 10.1140/epjp/i2019-12554-9

Abstract (EN): .This paper proposes two novel expressions for the Renyi entropy inspired in the concepts of fractional calculus. The new formulations are applied to the Bernoulli distribution, the Dow Jones Industrial Average time series and data from researcher citation profiles. The results are compared with those provided by other fractional entropies. The tuning by means of the fractional order allows a superior sensitivity of the entropy to the characteristics exhibited by each distinct type of data. Indeed, the additional freedom provided by the two parameters of the new Renyi formulations is useful when characterizing assertively real world data representative of complex systems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10