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Periodica Mathematica Hungarica
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Preprint . 2016
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Periodica Mathematica Hungarica
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2016
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Periodica Mathematica Hungarica
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Complete monotonicity of some entropies

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 12 Nov 2016Embargo end date: 01 Jan 2016 English Publisher:Springer Science and Business Media LLCJournal:Periodica Mathematica Hungarica, volume 75, pages 159-166 (issn: 0031-5303, eissn: 1588-2829, Copyright policy )
Authors: Ioan Raşa;

doi: 10.1007/s10998-016-0177-5 , 10.48550/arxiv.1606.05520

arXiv: http://arxiv.org/abs/1606.05520

Complete monotonicity of some entropies

Abstract

It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and negative binomial distributions) and investigate the Shannon, R��nyi, and Tsallis entropies of them with respect to the complete monotonicity.

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Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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