Extropy: Characterizations and dynamic versions
Abdolsaeed Toomaj, Majid Hashempour, N. Balakrishnan
Abstract
Abstract Several information measures have been proposed and studied in the literature. One such measure is extropy, a complementary dual function of entropy. Its meaning and related aging notions have not yet been studied in great detail. In this paper, we first illustrate that extropy information ranks the uniformity of a wide array of absolutely continuous families. We then discuss several theoretical merits of extropy. We also provide a closed-form expression of it for finite mixture distributions. Finally, the dynamic versions of extropy are also discussed, specifically the residual extropy and past extropy measures.
Topics & Concepts
MathematicsEntropy (arrow of time)ResidualAbsolute continuityExpression (computer science)Measure (data warehouse)Applied mathematicsStatistical physicsAlgorithmPure mathematicsData miningComputer scienceQuantum mechanicsProgramming languagePhysicsStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture ModelsStatistical Mechanics and Entropy