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Random quotients and robust estimation

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Publication:3687510
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DOI10.1080/03610928408828859zbMath0571.62028OpenAlexW2017236404MaRDI QIDQ3687510

Weih-Yin Loh

Publication date: 1984

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928408828859

zbMATH Keywords

meantrimmed meanrobust estimationTukey modeldouble exponentialStudent's tHuber's M-estimatorcontaminated normalrandom quotientstail-orderingasymptotic relative efficiencies of the sample medianpartial ordering on the family of symmetric distributions according to tail heavinessslash distributions


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Robustness and adaptive procedures (parametric inference) (62F35)


Related Items

Ordres stochastiques et efficacité asymptotique desL-estimateurs



Cites Work

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  • Strong unimodality and scale mixtures
  • Bounds on AREs for restricted classes of distributions defined via tail- orderings
  • Inequalities of s-ordered distributions
  • Concentration of Random Quotients
  • Understanding some long‐tailed symmetrical distributions
  • Robust Estimates of Location: Survey and Advances
  • Random Quotients and the Behrens-Fisher Problem
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