On the dynamic cumulative residual entropy

By Majid Asadi, Younes Zohrevand. 2007

241 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/705773bcca212b5f29bb0128e5c0492847391a3d

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Citations in the corpus

Characterizations Based on Cumulative Residual Entropy of First-Order Statistics (2010, background): “Asadi and Zohrevand (2007) proposed a dynamic form of CRE and obtained some of its properties.”
Some new results on the cumulative residual entropy (2010, methodology): “Firstweneed a lemma taken fromAsadi and Zohrevand (2007). The proof is immediate from (3.”
Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy (2015, background): “For a residual lifetime 𝑋 𝑡 = [𝑋 − 𝑡 | 𝑋 > 𝑡] , Asadi and Zohrevand [13] defined the dynamic measure of CRE as and called it as dynamic cumulative residual entropy (DCRE).”
On weighted cumulative residual entropy (2017, background): “Asadi and Zohrevand (2007) considered a dynamic version of the CRE. Some characterization results, stochastic ordering, and aging classes of this dynamic version were obtained by Asadi and Zohrevand (2007) and Navarro et al. (2010). Similar to Shannon entropy, CRE is position-free, i.”
On negative cumulative extropy with applications (2020, background): “For more information and further results on CRE, the readers are referred to Rao (2005), Asadi and Zohrevand (2007), Navarro, del Aguila, and Asadi (2010) and references therein.”
ON CUMULATIVE RESIDUAL EXTROPY (2020, background): “Asadi and Zohrevand [3] expressed that ξ(X) = E(mF (X)).”
On weighted extropies (2020, background): “0 f(x) log f(x)dx, (1) where log is the natural logarithm; see Shannon (1948).”