Characterizations Based on Cumulative Residual Entropy of First-Order Statistics

DOI10.1080/03610920903324841zbMath1202.62016OpenAlexW2127507687MaRDI QIDQ3064099

S. Baratpour

Publication date: 20 December 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903324841

zbMATH Keywords

order statisticsShannon informationseries systemcumulative residual entropyWeibull familyresidual life time distribution

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10) Reliability and life testing (62N05)

Related Items (20)

On cumulative residual (past) inaccuracy for truncated random variables ⋮ On cumulative Tsallis entropy and its dynamic past version ⋮ On the generalized cumulative residual entropy with applications in actuarial science ⋮ On cumulative residual entropy of progressively censored order statistics ⋮ On Rényi entropies of order statistics ⋮ Characterization of symmetric distributions based on some information measures properties of order statistics ⋮ Generalized cumulative residual entropy and record values ⋮ Some properties of cumulative Tsallis entropy of order \(\alpha \) ⋮ An ordered approach on cumulative extropy measures for information analysis ⋮ A family of variability measures based on the cumulative residual entropy and distortion functions ⋮ On cumulative residual (past) extropy of extreme order statistics ⋮ Characterizations based on generalized cumulative residual entropy functions ⋮ On cumulative residual entropy of order statistics ⋮ The residual extropy of order statistics ⋮ A Dynamic Discrimination Information Based On Cumulative Residual Entropy And Its Properties ⋮ Stochastic comparisons of interfailure times under a relevation replacement policy ⋮ Some properties of the cumulative residual entropy of coherent and mixed systems ⋮ Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy ⋮ On residual inaccuracy of order statistics ⋮ Some Results on Dynamic Generalized Survival Entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Characterizations based on Rényi entropy of order statistics and record values
• Dynamic generalized information measures
• On the dynamic cumulative residual entropy
• More on a new concept of entropy and information
• Minimum dynamic discrimination information models
• Some Characterizations Based on Entropy of Order Statistics and Record Values
• Cumulative Residual Entropy: A New Measure of Information
• Order Statistics

This page was built for publication: Characterizations Based on Cumulative Residual Entropy of First-Order Statistics