Characterization based on generalized entropy of order statistics

DOI10.1080/03610926.2014.927491zbMath1346.62005OpenAlexW2414009595MaRDI QIDQ2816443

Suchandan Kayal

Publication date: 22 August 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2014.927491

zbMATH Keywords

Laguerre polynomialgeneralized entropysymmetric distributionMinkowski inequalityHazard rate functionlocation and scale family

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (5)

Generalized residual entropy and upper record values ⋮ Rényi entropy of m-generalized order statistics ⋮ Information generating function of \(k\)-record values and its applications ⋮ Quantile-Based Generalized Entropy of Order (α, β) for Order Statistics ⋮ Information generating function of record values

Cites Work

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• A Mathematical Theory of Communication
• Characterizations of symmetric distributions based on Rényi entropy
• Characterizations based on Rényi entropy of order statistics and record values
• Descriptive statistics for non-parametric models. III: Dispersion
• Renyi Entropy Properties of Order Statistics
• Some Characterizations Based on Entropy of Order Statistics and Record Values
• The entropy of ordered sequences and order statistics
• Order Statistics

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