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On some Properties of Tsallis Hypoentropies and Hypodivergences

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Furuichi, Shigeru ; Mitroi-Symeonidis, Flavia-Corina ; Symeonidis, Eleutherius:
On some Properties of Tsallis Hypoentropies and Hypodivergences.
In: Entropy : an international and interdisciplinary journal of entropy and information studies. 16 (Oktober 2014) 10. - S. 5377-5399.
ISSN 1099-4300

Volltext

Link zum Volltext (externe URL): http://www.mdpi.com/1099-4300/16/10/5377/htm

Kurzfassung/Abstract

Both the Kullback-Leibler and the Tsallis divergence have a strong
limitation: if the value zero appears in probability distributions,
it must appear in the same positions for the sake of significance.
In order to avoid this limitation in the framework of Shannon
statistics, Ferreri introduced in 1980 hypoentropy: "such conditions
rarely occur in practice". The aim of the paper is to extend
Ferreri's hypoentropy to the Tsallis statistics. We introduce the
Tsallis hypoentropy and the Tsallis hypodivergence and describe
their mathematical behavior. Fundamental properties, like nonnegativity,
monotonicity, the chain rule and subadditivity, are established.

Weitere Angaben

Publikationsform:Artikel
Schlagwörter:mathematical inequality; Tsallis entropy; Tsallis hypoentropy;
Tsallis hypodivergence
Institutionen der Universität:Mathematisch-Geographische Fakultät > Mathematik > Professur für Mathematik - Analysis (bis 2011)
Peer-Review-Journal:Ja
Titel an der KU entstanden:Nein
Eingestellt am:21. Okt 2015 15:28
Letzte Änderung:21. Okt 2015 15:28
URL zu dieser Anzeige:http://edoc.ku-eichstaett.de/16377/