Régression linéaire robuste
Ley, J. P.
Statistique et analyse des données, Tome 4 (1979), p. 55-62 / Harvested from Numdam
Publié le : 1979-01-01
@article{SAD_1979__4_1_55_0,
     author = {Ley, J. P.},
     title = {R\'egression lin\'eaire robuste},
     journal = {Statistique et analyse des donn\'ees},
     volume = {4},
     year = {1979},
     pages = {55-62},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SAD_1979__4_1_55_0}
}
Ley, J. P. Régression linéaire robuste. Statistique et analyse des données, Tome 4 (1979) pp. 55-62. http://gdmltest.u-ga.fr/item/SAD_1979__4_1_55_0/

Barrodale, I. et Roberts, F. D. K. (1974). Algorithm 478 : solution of an overdetermined System of equations in the l1-norm. Comm. A.C.M. 17, 319-320.

Barrodale, I. et Roberts, F. D. K. (1977). Algorithms for restricted least absolute value estimation. Comm. Statist. Computa. Simula. B 6(4), 353-363. | Zbl 0383.62047

Bassett, G. Jr et Koenker, R. (1978). Asymptotic theory of least absolute error regression. J. Amer. Statist. Assoc. 73, 618-621. | MR 514166 | Zbl 0391.62046

Daniel, C. et Wood, F.S. (1971) Fitting equations to data. John Wiley, New-York | Zbl 0418.65006

David, H.A. (1968) Gini's mean difference rediscovered. Biometrika 55, 573-575. | Zbl 0177.46501

Gentle, J.E. (1977) Least absolute values estimation : an introduction. Commun. Statist. Simula. Computa. B6 (4), 313-328. | MR 538170 | Zbl 0383.62046

Hajek, J. et Sidak, Z. (1967). Theory of rank tests. Academic Press, New-York. | MR 229351 | Zbl 0944.62045

Hampel, F.E. (1974). The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69, 383-393. | MR 362657 | Zbl 0305.62031

Hettmansperger, T.P. et Mckean, J.W. (1976). Computational problems involved in analysis of linear models based on ranks. Proc. Statist. Computa. Sect. Amer. Statist. Assoc., 88-94.

Hettmansperger, T.P. et Mckean, J.W. (1977). A robust alternative based on ranks to least squares in analyzing linear models. Technometrics 19, 275-284. | MR 455204 | Zbl 0369.62052

Hettmansperger, T.P. et Mckean, J.W. (1978). Statistical inference based on ranks. Psychometrika 43, 69-79. | MR 507382 | Zbl 0385.62002

Hogg, R.V. et Randles, R.H. (1975). Adaptive distribution free regression methods and their applications. Technometrics 17, 399-407. | MR 395031 | Zbl 0324.62051

Jaeckel, L.A. (1971). Robust estimates of location : symmetry and asymmetric contamination. Ann. Math. Statist. 42, 1020-1034. | MR 286224 | Zbl 0216.47902

Jaeckel, L.A. (1972) Estimating regression coefficients by minimizing the dispersion of the residuals. Ann. Math. Statist. 43, 1449-1458. | MR 348930 | Zbl 0277.62049

Jureckova, J. (1971) Nonparametric estimate of regression coefficients. Ann. Math. Statist. 42, 1328-1338. | MR 295487 | Zbl 0225.62052

Mckean, J.W. et Hettmansperger, T.P. (1976). Tests of hypothesis based on ranks in the general linear model. Commun. Statist. Theor. Meth. A5 (8), 693-709. | MR 436452 | Zbl 0343.62053

Mckean, J.W. et Hettmansperger, T.P. (1978). A robust analysis of the general linear model based on one step R-estimates. Biometrika 65, 571-579. | MR 521824 | Zbl 0391.62026

Lehmann, E.L. (1975). Nonparametrics : statistical methods based on ranks. Holden Day, San Francisco. | MR 395032 | Zbl 0354.62038

Roodman, G.M. (1974). A procedure for optimal stepwise MSAE regression analysis. Operations Research 23, 393-399. | MR 418347 | Zbl 0275.62062

Sposito, V.A. et Hand, M.L. (1977) Using an approximate l1-estimator. Comm. Statist. Simula Computa. B6 (3), 263-268.

Wainer, H. et Thissen, D. (1976). Three steps towards robust regression. Psychometrika, 41, 9-34. | Zbl 0331.62052