On cumulative residual (past) inaccuracy for truncated random variables
Sign Up to like & getrecommendations! Published in 2021 at "Metrika"
DOI: 10.1007/s00184-015-0557-5
Abstract: To overcome the drawbacks of Shannon’s entropy, the concept of cumulative residual and past entropy has been proposed in the information theoretic literature. Furthermore, the Shannon entropy has been generalized in a number of different… read more here.
Keywords: truncated random; past inaccuracy; residual past; cumulative residual ... See more keywords
Analysis of time series in the cumulative residual entropy plane based on oscillation roughness exponent
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05646-y
Abstract: In this work, we propose the cumulative residual entropy (CRE) plane and CRE curve based on the weighted-multiscale cumulative residual Rényi/Tsallis permutation entropy and oscillation roughness exponent to analyze complex dynamic systems. The oscillation roughness… read more here.
Keywords: entropy; cumulative residual; roughness exponent; oscillation roughness ... See more keywords
Some properties of the cumulative residual entropy of coherent and mixed systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2017.6
Abstract: Abstract Recently, Rao et al. (2004) introduced an alternative measure of uncertainty known as the cumulative residual entropy (CRE). It is based on the survival (reliability) function F̅ instead of the probability density function f… read more here.
Keywords: coherent mixed; residual entropy; cumulative residual; entropy ... See more keywords
A CUMULATIVE RESIDUAL INACCURACY MEASURE FOR COHERENT SYSTEMS AT COMPONENT LEVEL AND UNDER NONHOMOGENEOUS POISSON PROCESSES
Sign Up to like & getrecommendations! Published in 2022 at "Probability in the Engineering and Informational Sciences"
DOI: 10.1017/s0269964820000637
Abstract: Inaccuracy and information measures based on cumulative residual entropy are quite useful and have attracted considerable attention in many fields including reliability theory. Using a point process martingale approach and a compensator version of Kumar… read more here.
Keywords: coherent systems; cumulative residual; measure; inaccuracy measure ... See more keywords
Weighted extensions of generalized cumulative residual entropy and their applications
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2019.1615094
Abstract: Abstract In this paper, we consider weighted extensions of generalized cumulative residual entropy and its dynamic(residual) version. Our results include linear transformations, stochastic ordering, bounds, aging class properties and some relationships with other reliability concepts.… read more here.
Keywords: residual entropy; cumulative residual; extensions generalized; weighted extensions ... See more keywords
On cumulative residual (past) extropy of extreme order statistics
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2021.2021238
Abstract: In the recent information-theoretic literature, the concept of extropy has been studied for order statistics. In the present communication we consider a cumulative analogue of extropy in the same vein of cumulative residual (past) entropy… read more here.
Keywords: order; residual past; cumulative residual; extreme order ... See more keywords