Characterizations of symmetric distributions based on Rényi entropy

DOI10.1016/j.spl.2012.01.004zbMath1242.62013OpenAlexW2036409889MaRDI QIDQ434723

M. Fashandi, Jafar Ahmadi

Publication date: 16 July 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2012.01.004

zbMATH Keywords

Shannon informationMüntz-Szász theorem\(k\)-recordsconcomitantsFarlie-Gumbel-Morgenstern (FGM) family

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Characterization and structure theory of statistical distributions (62E10) Statistical aspects of information-theoretic topics (62B10)

Related Items (23)

Some results on Tsallis entropy measure and \(k\)-record values ⋮ Sharma-Mittal Entropy Properties on Record Values ⋮ ON EXTROPY PROPERTIES OF MIXED SYSTEMS ⋮ Measure of entropy for past lifetime and \(k\)-record statistics ⋮ A quantile-based study of cumulative residual Tsallis entropy measures ⋮ Characterization of symmetric distributions based on some information measures properties of order statistics ⋮ Rényi entropy of m-generalized order statistics ⋮ Characterization results for symmetric continuous distributions based on the properties of \(k\)-records and spacings ⋮ An Estimator of Shannon Entropy of Beta-Generated Distributions and a Goodness-of-Fit Test ⋮ Rényi entropy on k-records and its applications in characterizing distributions ⋮ On weighted extropy of ranked set sampling and its comparison with simple random sampling counterpart ⋮ An ordered approach on cumulative extropy measures for information analysis ⋮ Information measures and concomitants of \(k\)-record values based on Sarmanov family of bivariate distributions ⋮ Characterizations of the exponential distribution by the concept of residual life at random time ⋮ Rényi's residual entropy: a quantile approach ⋮ Rényi Entropy of k-Records ⋮ On characterization results based on the number of observations near thek-records ⋮ Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics ⋮ Characterization based on generalized entropy of order statistics ⋮ Characterization of continuous symmetric distributions using information measures of records ⋮ Information generating function of record values ⋮ Testing symmetry based on the extropy of record values ⋮ Characterization of symmetric distributions based on concomitants of ordered variables from FGMs family of bivariate distributions

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