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Sharp bounds on the bias of trimean

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Publication:284186
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DOI10.1007/S00362-014-0641-3zbMath1338.62144OpenAlexW1964949408WikidataQ59472692 ScholiaQ59472692MaRDI QIDQ284186

Mariusz Bieniek

Publication date: 17 May 2016

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-014-0641-3


zbMATH Keywords

bias\(L\)-statisticSchwarz' inequalitytrimean


Mathematics Subject Classification ID

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


Related Items (1)

Sharp lower bounds on expectations of gOS based on DGFR distributions




Cites Work

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  • Evaluations of generalized order statistics from bounded populations
  • Bounds for expectations of concomitants
  • Comparison of the bias of trimmed and Winsorized means
  • Lower Bounds on PositiveL-Statistics
  • Optimal bounds on the bias of quasimidranges
  • BOUNDS ON THE BIAS OF WINSORIZED MEANS
  • Sharp upper mean-variance bounds for trimmed means from restricted families
  • Exact Bounds for the Bias of Trimmed Means
  • A Modification of Schwarz's Inequality with Applications to Distributions
  • Projecting statistical functionals




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