Properties of Shannon Entropy for Double Truncated Random Variables and its Applications
Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various...
| Published in: | Journal of Statistical Theory and Applications (JSTA) |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Springer
2020-06-01
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| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125941168/view |
| _version_ | 1851948464273883136 |
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| author | Rajesh Moharana Suchandan Kayal |
| author_facet | Rajesh Moharana Suchandan Kayal |
| author_sort | Rajesh Moharana |
| collection | DOAJ |
| container_title | Journal of Statistical Theory and Applications (JSTA) |
| description | Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various aging properties based on this measure. Characterizations of some useful life distributions are obtained. It is showed that under certain condition, the proposed measure determines the distribution function uniquely. Some results on discrete distributions are presented. Finally, applications are given. |
| format | Article |
| id | doaj-art-2c20e94de02c4bfb9cb790aa5be46669 |
| institution | Directory of Open Access Journals |
| issn | 2214-1766 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | Springer |
| record_format | Article |
| spelling | doaj-art-2c20e94de02c4bfb9cb790aa5be466692025-08-19T21:47:37ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662020-06-0119210.2991/jsta.d.200512.003Properties of Shannon Entropy for Double Truncated Random Variables and its ApplicationsRajesh MoharanaSuchandan KayalDoubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various aging properties based on this measure. Characterizations of some useful life distributions are obtained. It is showed that under certain condition, the proposed measure determines the distribution function uniquely. Some results on discrete distributions are presented. Finally, applications are given.https://www.atlantis-press.com/article/125941168/viewShannon entropyGeneralized failure rate functionGeneralized conditional meanStochastic orderingDoubly truncated entropy orderingAging classes |
| spellingShingle | Rajesh Moharana Suchandan Kayal Properties of Shannon Entropy for Double Truncated Random Variables and its Applications Shannon entropy Generalized failure rate function Generalized conditional mean Stochastic ordering Doubly truncated entropy ordering Aging classes |
| title | Properties of Shannon Entropy for Double Truncated Random Variables and its Applications |
| title_full | Properties of Shannon Entropy for Double Truncated Random Variables and its Applications |
| title_fullStr | Properties of Shannon Entropy for Double Truncated Random Variables and its Applications |
| title_full_unstemmed | Properties of Shannon Entropy for Double Truncated Random Variables and its Applications |
| title_short | Properties of Shannon Entropy for Double Truncated Random Variables and its Applications |
| title_sort | properties of shannon entropy for double truncated random variables and its applications |
| topic | Shannon entropy Generalized failure rate function Generalized conditional mean Stochastic ordering Doubly truncated entropy ordering Aging classes |
| url | https://www.atlantis-press.com/article/125941168/view |
| work_keys_str_mv | AT rajeshmoharana propertiesofshannonentropyfordoubletruncatedrandomvariablesanditsapplications AT suchandankayal propertiesofshannonentropyfordoubletruncatedrandomvariablesanditsapplications |