Properties of Entropies of Record Values in Reliability and Life Testing Context

DOI10.1080/03610920600577709zbMath1098.94016OpenAlexW2125923678MaRDI QIDQ5484681

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Publication date: 21 August 2006

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

Full work available at URL: https://doi.org/10.1080/03610920600577709

zbMATH Keywords

entropydigamma functionserror functionsrecord value distributions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (7)

Measure of entropy for past lifetime and \(k\)-record statistics ⋮ Quantile-based Shannon entropy for record statistics ⋮ Comparing two sampling schemes based on entropy of record statistics ⋮ On Kullback-Leibler information of order statistics in terms of the relative risk ⋮ Shannon information in record data ⋮ Some characterization and ordering results based on entropies of current records ⋮ Shannon Information Properties of the Endpoints of Record Coverage

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• On a family of logarithmic and exponential integrals occurring in probability and reliability theory
• A note on characterization based on shannon entropy of record statistics
• The entropy of consecutive order statistics
• On some inequalities for the gamma and psi functions
• On Information and Sufficiency
• Characterizations of the Pareto and related distributions.

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