Explicit Expressions for Most Common Entropies
Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/3/534 |
| _version_ | 1797611914467999744 |
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| author | Saralees Nadarajah Malick Kebe |
| author_facet | Saralees Nadarajah Malick Kebe |
| author_sort | Saralees Nadarajah |
| collection | DOAJ |
| description | Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most of the derived expressions are new. The explicit expressions involve known special functions. |
| first_indexed | 2024-03-11T06:35:24Z |
| format | Article |
| id | doaj.art-eefa5b8a81cf467494990423ef2ed5ba |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T06:35:24Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-eefa5b8a81cf467494990423ef2ed5ba2023-11-17T10:57:33ZengMDPI AGEntropy1099-43002023-03-0125353410.3390/e25030534Explicit Expressions for Most Common EntropiesSaralees Nadarajah0Malick Kebe1Department of Mathematics, Howard University, Washington, DC 20059, USADepartment of Mathematics, Howard University, Washington, DC 20059, USAEntropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most of the derived expressions are new. The explicit expressions involve known special functions.https://www.mdpi.com/1099-4300/25/3/534beta functiongamma functionGauss hypergeometric function |
| spellingShingle | Saralees Nadarajah Malick Kebe Explicit Expressions for Most Common Entropies Entropy beta function gamma function Gauss hypergeometric function |
| title | Explicit Expressions for Most Common Entropies |
| title_full | Explicit Expressions for Most Common Entropies |
| title_fullStr | Explicit Expressions for Most Common Entropies |
| title_full_unstemmed | Explicit Expressions for Most Common Entropies |
| title_short | Explicit Expressions for Most Common Entropies |
| title_sort | explicit expressions for most common entropies |
| topic | beta function gamma function Gauss hypergeometric function |
| url | https://www.mdpi.com/1099-4300/25/3/534 |
| work_keys_str_mv | AT saraleesnadarajah explicitexpressionsformostcommonentropies AT malickkebe explicitexpressionsformostcommonentropies |