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Communications in Statistics - Theory and Methods Volume 25, 1996 - Issue 5
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Original Articles

Two-stage regression quantiles and two-stage trimmed least squares estimators for structural equation models

Lin-An Chen Institute of Statistics, National Chiao Tung University, Hsinchu, TaiwanView further author information
&
Stephen Portnoy Department of Statistics, University of Illinois, Champaign, IL, 61801, USA
Pages 1005-1032 | Received 01 Dec 1994, Published online: 17 Feb 2010

  • Amemyia , T. 1982 . Two stage least deviations estimators . Econometrica , 50 : 689 – 711 .
  • Bickel , P. and Lehmann , E. 1975 . Descriptive statistics for nonparametric models: II. Location . Annals of Statistics , 3 : 1045 – 1069 .
  • Chen , L.A. 1988 . Regression quantiles and trimmed least squares estimators for structural equations and nonlinear regression model , University of Illinois . Ph.D. Thesis
  • Gutenbrunner , C. and Jureckova , J. 1992 . Regression rank scores and regression quantiles . Annals of Statistics , 20 : 305 – 330 .
  • Hogg , R.V. 1974 . Adaptive robust procedures: A partial review and some suggestions for future applications and theory . JASA , 69 : 909 – 927 .
  • Jureckova , J. 1977 . Asymptotic relations of M-estimates and R-estimates in linear regression model . Annals of Statistics , 5 : 464 – 472 .
  • Jureckova , J. and Sen , P.K. 1984 . On adaptive scale-equivariant M-estimators in linear model . Statistics and Decisions , 5 ( 1 ) : 31 – 46 .
  • Jureckova , J. and Sen , P.K. 1987 . An extension of Billingsley's uniform boundedness theorem to higher dimensional M-processes . Kyhernetica , 23 ( 1 ) : 382 – 387 .
  • Koenker , R. and Bassett , G.J. 1978 . Regression quantiles . Econometrica , 46 ( 1 ) : 33 – 50 .
  • Koenker , R. and Portnoy , S. 1987 . L-estimators for linear models . JASA , 82 ( 1 ) : 851 – 857 .
  • Koenker , R. and D'Orey , V. 1987 . Computing regression quantiles . Applied Statistics , 36 ( 1 ) : 383 – 393 .
  • Krasker , W.S. 1985 . Two stage bounded-influence estimators for simultaneous equations models . Journal of Business and Economic Statistics , 4 ( 1 ) : 432 – 444 .
  • Krishnakumr , J. and Ronchetti , E. 1991 . Optimal robust estimators for simultaneous equations models Preprint
  • Powell , J.L. 1983 . The asymptotic normality of two-stage least absolute deviations estimators . Economeirica , 51 : 1569 – 1576 .
  • Ruppert , D. and Carroll , R.J. 1980 . Trimmed least squares estimation in the linear model . JASA , 75 : 828 – 838 .
  • Stigler , S. 1977 . Do robust estimators work with real data? . Annals of Statistics , 5 : 1055 – 1098 .
  • Theil , H. 1971 . Principles of econometrics , New York : Wiley .

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