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

  • N. Unnikrishnan Nair und B. Vineshkumar ORCID logo EMAIL logo
Veröffentlicht/Copyright: 21. März 2021
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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.

MSC 2010: 94A17; 62N05; 91B30

Acknowledgements

We thank the anonymous referee for the valuable comments, which helped us to improve the contents of the paper.

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Received: 2020-12-23
Revised: 2021-02-27
Accepted: 2021-02-28
Published Online: 2021-03-21
Published in Print: 2021-06-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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