Revisiting Sen's inequalities on order statistics

DOI10.1016/J.SPL.2007.09.023zbMath1350.62010OpenAlexW2047450755MaRDI QIDQ2483431

K. Balasubramanian, Narayanaswamy Balakrishnan

Publication date: 28 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.spl.2007.09.023

zbMATH Keywords

order statisticsgenerating functionmajorizationHoeffding's inequalityAM-GM inequalityINID caseSen's inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (3)

The mixing advantage is less than 2 ⋮ Mixture representation for order statistics from INID progressive censoring and its applications ⋮ The mixing advantage for bounded random variables

Cites Work

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• Majorization and the Lorenz order: a brief introduction
• On the Distribution of the Number of Successes in Independent Trials
• A Note on Order Statistics for Heterogeneous Distributions
• Inequalities: theory of majorization and its applications

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