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• W3038103827 abstract "The generalized cumulative residual entropy is a recently defined dispersion measure. In this paper, we obtain some further results for such a measure, in relation to the generalized cumulative residual entropy and the variance of random lifetimes. We show that it has an intimate connection with the non-homogeneous Poisson process. We also get new expressions, bounds and stochastic comparisons involving such measures. Moreover, the dynamic version of the mentioned notions is studied through the residual lifetimes and suitable aging notions. In this framework we achieve some findings of interest in reliability theory, such as a characterization for the exponential distribution, various results on k-out-of-n systems, and a connection to the excess wealth order. We also obtain similar results for the generalized cumulative entropy, which is a dual measure to the generalized cumulative residual entropy." @default.
• W3038103827 created "2020-07-02" @default.
• W3038103827 creator A5053483603 @default.
• W3038103827 creator A5085172883 @default.
• W3038103827 date "2020-06-26" @default.
• W3038103827 modified "2023-10-17" @default.
• W3038103827 title "Generalized Entropies, Variance and Applications" @default.
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• W3038103827 doi "https://doi.org/10.3390/e22060709" @default.
• W3038103827 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7517246" @default.
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• W3038103827 hasPublicationYear "2020" @default.
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