Shannon Information Ink-records

DOI10.1080/03610926.2012.697965zbMath1297.62110OpenAlexW2049813286MaRDI QIDQ2921872

Mohsen Madadi, Mahbanoo Tata

Publication date: 14 October 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.697965

zbMATH Keywords

record valueszeta functionFisher informationdigamma functionShannon informationrecord timesEuler's constant\(k\)-record values\(k\)-record times

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Measures of information, entropy (94A17)

Related Items (7)

Sharma-Mittal Entropy Properties on Record Values ⋮ Rényi entropy on k-records and its applications in characterizing distributions ⋮ Quantile-based Shannon entropy for record statistics ⋮ Extropy based on records for random variables representing residual life ⋮ Past extropy of \(k\)-records ⋮ Rényi Entropy of k-Records ⋮ Entropy-based goodness-of-fit tests for the Pareto I distribution

Cites Work

• A Mathematical Theory of Communication
• Shannon information in record data
• Fisher information in record data
• A note on reliability properties of \(k\)-record statistics
• Fisher information in \(k\)-records
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• On the entropy of continuous probability distributions (Corresp.)
• Shannon Entropy and Mutual Information for Multivariate Skew‐Elliptical Distributions
• On the Fisher information in record values

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