Generalizations of Entropy and Information Measures

Thomas L. Toulias () and Christos P. Kitsos ()
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Thomas L. Toulias: Technological Educational Institute of Athens
Christos P. Kitsos: Technological Educational Institute of Athens

A chapter in Computation, Cryptography, and Network Security, 2015, pp 493-524 from Springer

Abstract: Abstract This paper presents and discusses two generalized forms of the Shannon entropy, as well as a generalized information measure. These measures are applied on a exponential-power generalization of the usual Normal distribution, emerged from a generalized form of the Fisher’s entropy type information measure, essential to Cryptology. Information divergences between these random variables are also discussed. Moreover, a complexity measure, related to the generalized Shannon entropy, is also presented, extending the known SDL complexity measure.

Keywords: Fisher’s entropy type information measure; Shannon entropy; Rényi entropy; Generalized normal distribution; SDL complexity (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-18275-9_22

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DOI: 10.1007/978-3-319-18275-9_22

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