Bivariate cumulative residual entropy of equilibrium distribution of order n

G. Rajesh, N. Unnikrishnan Nair and V.S. Sajily

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 23, 7457-7470

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.

Date: 2025
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DOI: 10.1080/03610926.2025.2476732

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