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Inequalities for ordered sums

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Publication:1086939
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DOI10.1007/BF02482542zbMath0609.62070OpenAlexW2112348687MaRDI QIDQ1086939

Herbert A. David

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482542


zbMATH Keywords

outliersorder statisticsboundsconvex functionsconcave functionsexpected valuesInequalitiesordered sums


Mathematics Subject Classification ID

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


Related Items (4)

Bounds for expectation of l-estimates for dependent samples ⋮ \(\sqrt n\)-consistent robust integration-based estimation ⋮ General bounds and inequalities in order statistics ⋮ Stochastic comparisons of order statistics,with applications in relibility



Cites Work

  • Inequalities for functions of order statistics under an additive model
  • Some finite sample results for the selection differential
  • Bounds on expectations of linear systematic statistics based on dependent samples
  • Inequalities of Chebyshev Type Involving Conditional Expectations
  • Inequalities: theory of majorization and its applications


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