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
Published in:Journal of Statistical Theory and Applications (JSTA)
Main Authors: Rajesh Moharana, Suchandan Kayal
Format: Article
Language:English
Published: Springer 2020-06-01
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
Description
Summary: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.
ISSN:2214-1766

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