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Some results on generalized regression quantiles

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Publication:3212121
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DOI10.1080/03610929108830539zbMath0724.62030OpenAlexW1989627018MaRDI QIDQ3212121

Jing Qin, Jiahua Chen

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/03610929108830539


zbMATH Keywords

robustnessleast absolute deviationloss functionsM-estimatorasymmetric least squaresdata-based methodasymptotic representation of generalized regression quantilesscale equivariant properties


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Linear regression; mixed models (62J05)


Related Items

Expectiles and \(M\)-quantiles are quantiles



Cites Work

  • Unnamed Item
  • Asymmetric Least Squares Estimation and Testing
  • On M-processes and M-estimation
  • Asymptotic behavior of the empiric distribution of M-estimated residuals from a regression model with many parameters
  • A second-order asymptotic distributional representation of M-estimators with discontinuous score functions
  • Robust regression: Asymptotics, conjectures and Monte Carlo
  • Approximation Theorems of Mathematical Statistics
  • The optimal Lpnorm estimator in linear regression models
  • One-Step Huber Estimates in the Linear Model
  • Regression Quantiles
  • Robust Estimation of a Location Parameter
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