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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Detalhes bibliográficos

Principais autores:	Volodymyr Braiman, Anatoliy Malyarenko, Yuliya Mishura, Yevheniia Anastasiia Rudyk
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Vilnius University Press 2024-07-01
coleção:	Nonlinear Analysis
Assuntos:	Shannon entropy Rényi entropy Poisson distribution Karamata’s inequality
Acesso em linha:	https://journals.vu.lt./nonlinear-analysis/article/view/35845
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