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Bivariate cumulative residual entropy of equilibrium distribution of order n

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  • G. Rajesh
  • N. Unnikrishnan Nair
  • V.S. Sajily

Abstract

Nair, Sunoj, and Rajesh (2023) have introduced the cumulative residual entropy (CRE) of order n and studied its importance in reliability theory. This article addresses that extending this measure to higher dimensions and studies its properties. We use this measure to characterize some well-known bivariate lifetime models and study their relations with reliability measures, such as product moment residual life and vector-valued failure rates. Several properties are obtained, including monotonicity and bounds based on well-known Frechet-Hoeffding bounds. Moreover, we also find an implication between bivariate CRE and positively (negatively) quadrant-dependent PQD (NQD) distributions.

Suggested Citation

  • G. Rajesh & N. Unnikrishnan Nair & V.S. Sajily, 2025. "Bivariate cumulative residual entropy of equilibrium distribution of order n," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(23), pages 7457-7470, December.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:23:p:7457-7470
    DOI: 10.1080/03610926.2025.2476732
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