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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Detalles Bibliográficos

Autores principales:	Volodymyr Braiman, Anatoliy Malyarenko, Yuliya Mishura, Yevheniia Anastasiia Rudyk
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	Vilnius University Press 2024-07-01
Colección:	Nonlinear Analysis
Materias:	Shannon entropy Rényi entropy Poisson distribution Karamata’s inequality
Acceso en línea:	https://journals.vu.lt./nonlinear-analysis/article/view/35845
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