The Modes of the Poisson Distribution of Order 3 and 4

In this article, new properties of the Poisson distribution of order k with parameter [Formula: see text] are found. Based on them, the modes of the Poisson distributions of order [Formula: see text] and 4 are derived for [Formula: see text] in [Formula: see text]. They are 0, 3, 5, and 0, 4, 7, 8,...

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Detalles Bibliográficos
Autores principales: Kwon, Yeil, Philippou, Andreas N.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10138277/
https://www.ncbi.nlm.nih.gov/pubmed/37190487
http://dx.doi.org/10.3390/e25040699
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author Kwon, Yeil
Philippou, Andreas N.
author_facet Kwon, Yeil
Philippou, Andreas N.
author_sort Kwon, Yeil
collection PubMed
description In this article, new properties of the Poisson distribution of order k with parameter [Formula: see text] are found. Based on them, the modes of the Poisson distributions of order [Formula: see text] and 4 are derived for [Formula: see text] in [Formula: see text]. They are 0, 3, 5, and 0, 4, 7, 8, respectively, for [Formula: see text] in specified subintervals of (0, 1). In addition, using Mathematica, computational results for the modes of the Poisson distributions of order [Formula: see text] , and 4 are presented for [Formula: see text] in specified subintervals of [Formula: see text].
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spelling pubmed-101382772023-04-28 The Modes of the Poisson Distribution of Order 3 and 4 Kwon, Yeil Philippou, Andreas N. Entropy (Basel) Article In this article, new properties of the Poisson distribution of order k with parameter [Formula: see text] are found. Based on them, the modes of the Poisson distributions of order [Formula: see text] and 4 are derived for [Formula: see text] in [Formula: see text]. They are 0, 3, 5, and 0, 4, 7, 8, respectively, for [Formula: see text] in specified subintervals of (0, 1). In addition, using Mathematica, computational results for the modes of the Poisson distributions of order [Formula: see text] , and 4 are presented for [Formula: see text] in specified subintervals of [Formula: see text]. MDPI 2023-04-21 /pmc/articles/PMC10138277/ /pubmed/37190487 http://dx.doi.org/10.3390/e25040699 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kwon, Yeil
Philippou, Andreas N.
The Modes of the Poisson Distribution of Order 3 and 4
title The Modes of the Poisson Distribution of Order 3 and 4
title_full The Modes of the Poisson Distribution of Order 3 and 4
title_fullStr The Modes of the Poisson Distribution of Order 3 and 4
title_full_unstemmed The Modes of the Poisson Distribution of Order 3 and 4
title_short The Modes of the Poisson Distribution of Order 3 and 4
title_sort modes of the poisson distribution of order 3 and 4
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10138277/
https://www.ncbi.nlm.nih.gov/pubmed/37190487
http://dx.doi.org/10.3390/e25040699
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