Sunoj, S M; Linu, M N(Taylor & Francis, May 2, 2010)
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Abstract:
Recently, cumulative residual entropy (CRE) has been found to be a new measure of information that
parallels Shannon’s entropy (see Rao et al. [Cumulative residual entropy: A new measure of information,
IEEE Trans. Inform. Theory. 50(6) (2004), pp. 1220–1228] and Asadi and Zohrevand [On the dynamic
cumulative residual entropy, J. Stat. Plann. Inference 137 (2007), pp. 1931–1941]). Motivated by this finding,
in this paper, we introduce a generalized measure of it, namely cumulative residual Renyi’s entropy,
and study its properties.We also examine it in relation to some applied problems such as weighted and equilibrium
models. Finally, we extend this measure into the bivariate set-up and prove certain characterizing
relationships to identify different bivariate lifetime models