DOI: 10.1007/978-1-4615-7821-5_15. Robust Regression by Means of S-Estimators

Robust Regression by Means of S-Estimators

10.1007/978-1-4615-7821-5_15

Crossref book-chapter

Springer US

Lecture Notes in Statistics (297)

Bibliography

Rousseeuw, P., & Yohai, V. (1984). Robust Regression by Means of S-Estimators. Robust and Nonlinear Time Series Analysis, 256â272.

Authors 2

P. Rousseeuw (first)
V. Yohai (additional)

References 33 Referenced 501

ANDREWS, D.F. (1974), “A Robust Method for Multiple Linear Regression,” Technometrics, 16, 523–531. (10.2307/1267603) / Technometrics by DF Andrews (1974)
ANDREWS, D.F., BICKEL, P.J., HAMPEL, F.R., HUBER, P.J., ROGERS, W.H., and TUKEY, J.W. (1972), Robust Estimates of Location: Survey and Advances, Princeton University Press. / Robust Estimates of Location: Survey and Advances by DF Andrews (1972)
BICKEL, P.J. (1975), “One-Step Huber Estimates in the Linear Model,” Journal of the American Statistical Association, 70, 428–434. (10.2307/2285834) / Journal of the American Statistical Association by PJ Bickel (1975)
BROWN, G.W., and MOOD, A.M. (1951), “On Median Tests for Linear Hypotheses,” Proceedings 2nd Berkeley Symposium on Mathematical Statistics and Probability, 159–166. / On Median Tests for Linear Hypotheses by GW Brown (1951)
DONOHO, D.L., and HUBER, P.J. (1983), “The notion of Breakdown Point,” in A Festschrift for E.L. Lehmann, Wadsworth. / A Festschrift for E.L. Lehmann, Wadsworth by DL Donoho (1983)
EDGEWORTH, F.Y. (1887), “On Observations Relating to Several Quantities,” Hermathena, 6, 279–285. / Hermathena by FY Edgeworth (1887)
EFRON, B. (1982), The Jackknife, the Bootstrap and other Resampling Plans, SIAM Monograph No. 38, Society for Industrial and Applied Mathematics. (10.1137/1.9781611970319) / The Jackknife, the Bootstrap and other Resampling Plans / SIAM Monograph No. 38 by B Efron (1982)
FIELD, C.A., and HAMPEL, F.R. (1982), “Small-Sample Asymptotic Distributions of M-estimators of Location,” Biometrika, 69, 29–46. (10.1093/biomet/69.1.29) / Biometrika by CA Field (1982)
FRIEDMAN, J.H., and TUKEY, J.W. (1974), “A Projection Pursuit Algorithm for Exploratory Data Analysis,” IEEE Transactions on Computers, C-23, 881–889. (10.1109/T-C.1974.224051) / IEEE Transactions on Computers by JH Friedman (1974)
GENTLEMAN, W.M. (1965), “Robust Estimation of Multivariate Location by Minimizing p-th power Deviations,” Ph.D. dissertation, Princeton University, and Bell Tel. Laboratories memorandum MM65–1215–16. / Ph.D. dissertation / Princeton University, and Bell Tel. Laboratories memorandum MM65–1215–16 by WM Gentleman (1965)
HAMPEL, F.R. (1971), “A General Qualitative Definition of Robustness,” Annals of Mathematical Statistics, 42, 1887–1896. (10.1214/aoms/1177693054) / Annals of Mathematical Statistics by FR Hampel (1971)
HAMPEL, F.R. (1975), “Beyond Location Parameters: Robust Concepts and Methods,” Bulletin of the International Statistical Institute, 46, 375–382. / Bulletin of the International Statistical Institute by FR Hampel (1975)
HAMPEL, F.R. (1978), “Optimally Bounding the Gross-Error-Sensitivity and the Influence of Position in Factor Space,” 1978 Proceedings of the ASA Statistical Computing Section, 59–64. / Optimally Bounding the Gross-Error-Sensitivity and the Influence of Position in Factor Space by FR Hampel (1978)
HAMPEL, F.R., ROUSSEEUW, P.J., and RONCHETTI, E. (1981), “The Change-of-Variance Curve and Optimal Redescending M-estimators,” Journal of the American Statistical Association, 76, 643–648. (10.2307/2287524) / Journal of the American Statistical Association by FR Hampel (1981)
HILL, R.W. (1977), “Robust Regression when there are Outliers in the Carriers,” unpublished Ph.D. dissertation, Harvard University. / Ph.D. dissertation, Harvard University by RW Hill (1977)
HODGES, J.L. Jr. (1967), “Efficiency in Normal Samples and Tolerance of Extreme Values for some Estimates of Location,” Proceedings 5th Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, 163–168. / Efficiency in Normal Samples and Tolerance of Extreme Values for some Estimates of Location by JL Hodges Jr (1967)
HUBER, P.J. (1964), “Robust Estimation of a Location Parameter,” Annals of Mathematical Statistics, 35, 73–101. (10.1214/aoms/1177703732) / Annals of Mathematical Statistics by PJ Huber (1964)
HUBER, P.J. (1973), “Robust Regression: Asymptotics, Conjectures and Monte Carlo,” Annals of Statistics, 1, 799–821. (10.1214/aos/1176342503) / Annals of Statistics by PJ Huber (1973)
HUBER, P.J. (1981), Robust Statistics, New York: Wiley. (10.1002/0471725250) / Robust Statistics by PJ Huber (1981)
HUMPHREYS, R.M. (1978), “Studies of Luminous Stars in Nearby Galaxies. I. Supergiants and O stars in the Milky Way,” The Astrophysical Journal Supplement Series, 38, 309–350. (10.1086/190559) / The Astrophysical Journal Supplement Series by RM Humphreys (1978)
JAECKEL, L.A. (1972), “Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals,” Annals of Mathematical Statistics, 5, 1449–1458. (10.1214/aoms/1177692377) / Annals of Mathematical Statistics by LA Jaeckel (1972)
KRASKER, W.S. (1980), “Estimation in Linear Regression Models with Disparate Data Points,” Econometrica, 48, 1333–1346. (10.2307/1912810) / Econometrica by WS Krasker (1980)
KRASKER, W.S., and WELSCH, R.E. (1982), “Efficient Bounded-Influence Regression Estimation,” Journal of the American Statistical Association, 77, 595–604. (10.2307/2287719) / Journal of the American Statistical Association by WS Krasker (1982)
MALLOWS, C.L. (1975), “On Some Topics in Robustness,” unpublished memorandum, Bell Tel. Laboratories, Murray Hill. / On Some Topics in Robustness by CL Mallows (1975)
MARONNA, R.A., and YOHAI, V.J. (1981), “Asymptotic Behaviour of General M-estimates for Regression and Scale with Random Carriers,” Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 58, 7–20. (10.1007/BF00536192) / Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete by RA Maronna (1981)
MARONNA, R.A., BUSTOS, O., and YOHAI, V.J. (1979), “Bias- and Efficiency-Robustness of General M-estimators for Regression with Random Carriers,” in Smoothing Techniques for Curve Estimation, eds. T. Gasser and M. Rosenblatt, New York: Springer Verlag, 91–116. (10.1007/BFb0098492) / Smoothing Techniques for Curve Estimation by RA Maronna (1979)
RONCHETTI, E., and ROUSSEEUW, P.J. (1982), “Change-of-Varian-ce Sensitivities in Regression Analysis,” Research Report No. 36, Fachgruppe für Statistics, ETH Zürich. / Change-of-Varian-ce Sensitivities in Regression Analysis / Research Report No. 36 by E Ronchetti (1982)
ROUSSEEUW, P.J. (1982), “Least Median of Squares Regression,” Research Report No. 178, Centre for Statistics and Operations Research, VUB Brussels. / Least Median of Squares Regression / Research Report No. 178 by PJ Rousseeuw (1982)
ROUSSEEUW, P.J. (1983), “Multivariate Estimation with High Breakdown Point,” Research Report No. 192, Centre for Statistics and Operations Research, VUB Brussels. / Multivariate Estimation with High Breakdown Point / Research Report No. 192 by PJ Rousseeuw (1983)
SEN, P.K. (1968), “Estimates of the Regression Coefficient Based on Kendall’s Tau,” Journal of the American Statistical Association, 63, 1379–1389. (10.2307/2285891) / Journal of the American Statistical Association by PK Sen (1968)
SIEGEL, A.F. (1982), “Robust Regression Using Repeated Medians,” Biometrika, 69, 242–244. (10.1093/biomet/69.1.242) / Biometrika by AF Siegel (1982)
THEIL, H. (1950), “A Rank-Invariant Method of Linear and Polynomial Regression Analysis,” I, II and III. Neder-landsche Akademie van Wetenschappen Proceedings Serie A, 53, 386–392, 521–525, and 1397–1412. / Neder-landsche Akademie van Wetenschappen Proceedings Serie A by H Theil (1950)
VANSINA, F., and DE GREVE, J.P. (1982), “Close Binary Systems Before and After Mass Transfer,” Astrophysics and Space Science, 87, 377–401. (10.1007/BF00648931) / Astrophysics and Space Science by F Vansina (1982)

Dates

Type	When
Created	13 years, 5 months ago (March 29, 2012, 3:02 a.m.)
Deposited	4 years, 4 months ago (May 1, 2021, 7:50 a.m.)
Indexed	1 day, 15 hours ago (Sept. 4, 2025, 9:55 a.m.)
Issued	41 years, 8 months ago (Jan. 1, 1984)
Published	41 years, 8 months ago (Jan. 1, 1984)
Published Print	41 years, 8 months ago (Jan. 1, 1984)

Funders 0

None

BibTeX

@inbook{Rousseeuw_1984, title={Robust Regression by Means of S-Estimators}, ISBN={9781461578215}, ISSN={0930-0325}, url={http://dx.doi.org/10.1007/978-1-4615-7821-5_15}, DOI={10.1007/978-1-4615-7821-5_15}, booktitle={Robust and Nonlinear Time Series Analysis}, publisher={Springer US}, author={Rousseeuw, P. and Yohai, V.}, year={1984}, pages={256–272} }

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