Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter

We consider two types of entropy, namely, Shannon and Rényi entropies of the Poisson distribution, and establish their properties as the functions of intensity parameter. More precisely, we prove that both entropies increase with intensity. While for Shannon entropy the proof is comparatively simpl...

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Bibliographic Details
Main Authors: Volodymyr Braiman, Anatoliy Malyarenko, Yuliya Mishura, Yevheniia Anastasiia Rudyk
Format: Article
Language:English
Published: Vilnius University Press 2024-07-01
Series:Nonlinear Analysis
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Online Access:https://journals.vu.lt./nonlinear-analysis/article/view/35845
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