Work

Entropies of the Poisson Distribution as Functions of Intensity: “Normal” and “Anomalous” Behavior

Year: 2025

Type: article

Abstract: The paper extends the analysis of the entropies of the Poisson distribution with parameter $$\lambda $$ λ . It demonstrates that the Tsallis and Sharma–Mittal entropies exhibit monotonic behavior with respect to $$\lambda $$ λ , whereas two generalized forms of the Rényi entropy may exhibit “anomalous” (non-monotonic) behavior. Additionally, we examine the asymptotic behavior of the entropies as $$\lambda \rightarrow \infty $$ λ → ∞ and provide both lower and upper bounds for them.

Source: Methodology And Computing In Applied Probability

DOI: 10.1007/s11009-025-10171-9

Authors: Dmitri Finkelshtein, Anatoliy Malyarenko, Yuliya Mishura, Kostiantyn Ralchenko

Institutions: Swansea University, Mälardalen University, Taras Shevchenko National University of Kyiv, University of Vaasa

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290