Shannon information in record data

DOI10.1007/S00184-009-0287-7zbMath1216.62010OpenAlexW2070520118MaRDI QIDQ548170

Mohsen Madadi, Mahbanoo Tata

Publication date: 28 June 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-009-0287-7

zbMATH Keywords

zeta functionFisher informationdigamma functionrecord timesEuler's constant

Mathematics Subject Classification ID

Statistics of extreme values; tail inference (62G32) Statistical sampling theory and related topics (62D99) Statistical aspects of information-theoretic topics (62B10)

Related Items (7)

Measure of entropy for past lifetime and \(k\)-record statistics ⋮ Shannon Information Ink-records ⋮ Quantile-based Shannon entropy for record statistics ⋮ Extropy based on records for random variables representing residual life ⋮ Rényi Entropy of k-Records ⋮ Classical and Bayesian estimation of \(P(X<Y)\) using upper record values from Kumaraswamy's distribution ⋮ Entropy-based goodness-of-fit tests for the Pareto I distribution

Cites Work

• A Mathematical Theory of Communication
• Fisher information in record data
• Entropy properties of record statistics
• Formulas for Rényi information and related measures for univariate distributions.
• Some results on generalized past entropy
• Entropy expressions and their estimators for multivariate distributions
• On the entropy of continuous probability distributions (Corresp.)
• Entropy expressions for multivariate continuous distributions
• Principal Information Theoretic Approaches
• On diversity measures based on entropy functions
• Properties of Entropies of Record Values in Reliability and Life Testing Context
• On the Fisher information in record values

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