Relation Between Cumulative Residual Entropy and Excess Wealth Transform with Applications to Reliability and Risk

Abstract Dynamic cumulative residual entropy is a new addition to the class of information measures. In the present paper, we study its relationship with excess wealth transform and derive some identities connecting the two using the quantile-based approach. Some theoretical results that have applications to infer ageing properties and risk measures are presented. These are used as tools to analyse real life data.

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Year of publication:	2021
Authors:	Unnikrishnan Nair, N. ; Vineshkumar, B.
Published in:	Stochastics and Quality Control. - De Gruyter, ISSN 2367-2404, ZDB-ID 2905267-1. - Vol. 36.2021, 1, p. 43-57
Publisher:	De Gruyter
Subject:	Cumulative Residual Entropy \| Excess Wealth Transform \| Characterizations \| Ageing Properties \| Expected Shortfall

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Type of publication:	Article
Type of publication (narrower categories):	research-article
Language:	English
Other identifiers:	10.1515/eqc-2020-0036 [DOI]
Source:	Other ZBW resources

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