Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Nonparametric Estimation in Regression Model

  • Han, Sang Moon (Department of Computer Science and Statistics, University of Seoul)
  • Published : 2001.04.01
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Abstract

One proposal is made for constructing nonparametric estimator of slope parameters in a regression model under symmetric error distributions. This estimator is based on the use of idea of Johns for estimating the center of the symmetric distribution together with the idea of regression quantiles and regression trimmed mean. This nonparametric estimator and some other L-estimators are studied by Monte Carlo.

Keywords

References

  1. Annals of Statistics v.2 Rank score comparision of several regression parameters Adichie,J.N.
  2. Applied Statistics v.27 Algorithm AS 132. Least absolute value estimates of a simple linear regression problem Armstrong,R.D.;Kung,M.T.
  3. Communications of the Association for Computing Machinery v.17 Solution of an overdetermined system of equations in the L₁Norm Barrodale,I.;Roberts,F.D.K.
  4. Annals of Statistics v.1 On some analogues to linear combinations of ordered statistics in the linear model Bickel,P.J.
  5. Technometrics v.19 A robust alternative based on ranks to least squares in analyzing linear models Hettmansperger,T.P.;Mckean,J.W.
  6. The American Statistician v.33 Statistical Robustness : One view of its use in applications today Hogg,R.V.
  7. Probability and Statistics, EssaysinHonor of Graybill, F.A. An Argument for Adaptive Robust Estimation Hogg,R.V.;Bril,G.K.;S.M.Han;L.Yuh
  8. Annals of statistics v.1 Robust regression : Asymptotics, conjectures and Monte Carlo Huber,P.J.
  9. Robust Statistics Huber,P.J.
  10. Annals of Mathematical Statistics v.43 Estimating regression coefficient by minimizing dispersion of the residuals Jaeckel,L.A.
  11. Journal of the American Statistical Association v.69 Nonparametric estimation of location Johns,M.V.
  12. Annals of Mathematical Statistics v.42 Nonparametric estimation of regression coefficients Jureckova,J.
  13. Econometrica v.50 Robust tests for heterosedasticity based on regression quantiles Koenker,R.;Bassett,C.
  14. Communications in Statistics (Theory and Methods) v.10 A Monte Carlo comparision of regression trimmed means P.J.de Jongh;T.de Wet
  15. Institute of Statistics Mimeo Series 1186 Robust regression by trimmed least squares estimation Ruppert,D.;Carroll,R.J.
  16. Journal of the American Statical Association v.75 Trimmed least squares estimation in the linear model Ruppert,D.;Carroll,R.J.