Volume 19, Issue 2, June 2020, Pages 261 - 273
Properties of Shannon Entropy for Double Truncated Random Variables and its Applications
Authors
Rajesh Moharana, Suchandan Kayal*
Department of Mathematics, National Institute of Technology Rourkela, Rourkela-769 008, Odisha, India
*Corresponding author. Email: suchandan.kayal@gmail.com
Corresponding Author
Suchandan Kayal
Received 4 January 2017, Accepted 20 December 2018, Available Online 8 June 2020.
- DOI
- 10.2991/jsta.d.200512.003How to use a DOI?
- Keywords
- Shannon entropy; Generalized failure rate function; Generalized conditional mean; Stochastic ordering; Doubly truncated entropy ordering; Aging classes
- Abstract
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.
- Copyright
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Rajesh Moharana AU - Suchandan Kayal PY - 2020 DA - 2020/06/08 TI - Properties of Shannon Entropy for Double Truncated Random Variables and its Applications JO - Journal of Statistical Theory and Applications SP - 261 EP - 273 VL - 19 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200512.003 DO - 10.2991/jsta.d.200512.003 ID - Moharana2020 ER -