Residual extropy of \(k\)-record values

DOI10.1016/j.spl.2018.10.019zbMath1450.62005OpenAlexW2899191409MaRDI QIDQ1726833

Jitto Jose, E. I. Abdul Sathar

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.10.019

zbMATH Keywords

uniform distributionextropy\(k\)-recordsmonotone propertyresidual extropy

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Statistical aspects of information-theoretic topics (62B10)

Related Items (23)

Some statistical inferences on the upper record of Lomax distribution ⋮ Non-parametric estimation of cumulative (residual) extropy ⋮ Some reliability properties of extropy for residual and past lifetime random variables ⋮ On dynamic survival extropy ⋮ Testing exponentiality based on the extropy of record values ⋮ Weighted extropies and past extropy of order statistics and k-record values ⋮ Some properties of weighted survival extropy and its extended measures ⋮ On general weighted cumulative residual extropy and general weighted negative cumulative extropy ⋮ An ordered approach on cumulative extropy measures for information analysis ⋮ Inferences on the performance index of Weibull distribution based on \(k\)-record values ⋮ Renyi extropy ⋮ Extropy based on records for random variables representing residual life ⋮ Unnamed Item ⋮ Past extropy of \(k\)-records ⋮ On Partial Monotonic Behaviour of Past Entropy and Convolution of Extropy ⋮ Characterization of exponential distribution using extropy based on lower \(k\)-records and its application in testing exponentiality ⋮ Rényi Entropy of k-Records ⋮ On dynamic weighted extropy ⋮ Symmetry being tested through simultaneous application of upper and lower k-records in extropy ⋮ A study on some properties of dynamic survival extropy and its relation to economic measures ⋮ Testing symmetry based on the extropy of record values ⋮ A study on weighted dynamic survival and failure extropies ⋮ Tsallis eXtropy

Cites Work

• A Mathematical Theory of Communication
• Extropy: complementary dual of entropy
• The extropy of order statistics and record values
• The residual extropy of order statistics
• Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
• Stochastic orders
• A concept of generalized order statistics
• Extropy estimators with applications in testing uniformity
• A First Course in Order Statistics
• Unnamed Item
• Unnamed Item

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