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Journals / Mathematical Sciences and Applications E-Notes / 2016 / Cilt: 4 - Sayı: 1

Renyi entropy in continuous case is not the limit of discrete case

M. Sanei TABASS
G. R. Mohtashami BORZADARAN
M. AMİNİ
Pages
113–117
Publication Date
2016-04-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, some notes are derived in view of the variate versions of entropy criteria.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Shannon entropy is the creation of Shannon (1948) based on the experiences in Bell System Company during and after the Second World War.
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Key Findings & Data:Then, Renyi (1961) generalized it for one parameter families of entropies.
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Conclusion & Impact:Also, some notes are derived in view of the variate versions of entropy criteria.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Vector valued Dirichlet series (VVDS) · relative Ritt order · relative Ritt lower order

Abstract

Shannon entropy is the creation of Shannon (1948) based on the experiences in Bell System Company during and after the Second World War. Then, Renyi (1961) generalized it for one parameter families of entropies. This entropy for discrete random variables is non-negative but it can be negative in continuous case. In this paper, we show that Renyi entropy for continuous random variables is not equal to the limit of it for discrete random variables. Also, some notes are derived in view of the variate versions of entropy criteria.

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Cite This Article

TABASS, M. S., BORZADARAN, G. R. M., AMİNİ, M. (2016). Renyi entropy in continuous case is not the limit of discrete case. Mathematical Sciences and Applications E-Notes, Cilt: 4 - Sayı: 1, 113–117. https://ajindex.com/articles/690764

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