Properties of Shannon Entropy for Double Truncated Random Variables and its Applications

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...

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Bibliographic Details
Main Authors: Rajesh Moharana, Suchandan Kayal
Format: Article
Language:English
Published: Atlantis Press 2020-06-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Shannon entropy
Generalized failure rate function
Generalized conditional mean
Stochastic ordering
Doubly truncated entropy ordering
Aging classes
Online Access:https://www.atlantis-press.com/article/125941168/view
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spelling doaj-2c20e94de02c4bfb9cb790aa5be466692020-11-25T03:20:58ZengAtlantis PressJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Rajesh Moharana
Suchandan Kayal
spellingShingle Rajesh Moharana
Suchandan Kayal
Properties of Shannon Entropy for Double Truncated Random Variables and its Applications
Journal of Statistical Theory and Applications (JSTA)
Shannon entropy
Generalized failure rate function
Generalized conditional mean
Stochastic ordering
Doubly truncated entropy ordering
Aging classes
author_facet Rajesh Moharana
Suchandan Kayal
author_sort Rajesh Moharana
title 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_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_sort properties of shannon entropy for double truncated random variables and its applications
publisher Atlantis Press
series Journal of Statistical Theory and Applications (JSTA)
issn 2214-1766
publishDate 2020-06-01
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.
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
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