Report
Entropies of the Poisson distribution as functions of intensity: 'normal' and 'anomalous' behavior
| العنوان: | Entropies of the Poisson distribution as functions of intensity: 'normal' and 'anomalous' behavior |
|---|---|
| المؤلفون: | Finkelshtein, Dmitri, Malyarenko, Anatoliy, Mishura, Yuliya, Ralchenko, Kostiantyn |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, Computer Science - Information Theory, 94A17 |
| الوصف: | The paper extends the analysis of the entropies of the Poisson distribution with parameter $\lambda$. It demonstrates that the Tsallis and Sharma-Mittal entropies exhibit monotonic behavior with respect to $\lambda$, whereas two generalized forms of the R\'enyi entropy may exhibit "anomalous" (non-monotonic) behavior. Additionally, we examine the asymptotic behavior of the entropies as $\lambda \to \infty$ and provide both lower and upper bounds for them. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.16913 |
| رقم الانضمام: | edsarx.2411.16913 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |