Les estimateurs robustes sont-ils vraiment robustes en pratique ?

Mohamed El Arbi Chaffai

Revue de Statistique Appliquée (1989)

  • Volume: 37, Issue: 3, page 57-73
  • ISSN: 0035-175X

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Chaffai, Mohamed El Arbi. "Les estimateurs robustes sont-ils vraiment robustes en pratique ?." Revue de Statistique Appliquée 37.3 (1989): 57-73. <http://eudml.org/doc/106262>.

@article{Chaffai1989,
author = {Chaffai, Mohamed El Arbi},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {3},
pages = {57-73},
publisher = {Société de Statistique de France},
title = {Les estimateurs robustes sont-ils vraiment robustes en pratique ?},
url = {http://eudml.org/doc/106262},
volume = {37},
year = {1989},
}

TY - JOUR
AU - Chaffai, Mohamed El Arbi
TI - Les estimateurs robustes sont-ils vraiment robustes en pratique ?
JO - Revue de Statistique Appliquée
PY - 1989
PB - Société de Statistique de France
VL - 37
IS - 3
SP - 57
EP - 73
LA - fre
UR - http://eudml.org/doc/106262
ER -

References

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  1. [1] Andrews, D.F., Bickel, P.J., Hampel, F.R., Huber, P.J., Rogers, W.H., Tukey, J.W. (1972). "Robust estimates of location : Survey and advances". Princeton University Press. Zbl0254.62001MR331595
  2. [2] Andrews, D.F., (1974) "A robust method for multiple linear regression". Technometrics16, 523-531. Zbl0294.62082MR368323
  3. [3] Asselin de Beauvlle, Dolla, A. (1980) "Une méthode de protection du modèle linéaire " RSA, Vol. XXVIII, 2,25- 43. 
  4. [4] Asterisque (1977) "Théorie de la robustesse et estimation d'un paramètre ". Société mathématique de France. Vol. 43-44. Zbl0371.62072
  5. [5] Basset, J., Koenker, R. (1978) "Asymptotic theory of least absolute error in regression" JASA73, 618-622. Zbl0391.62046MR514166
  6. [6] Belsley, D.A., Kuh, E., Welsch, R.E. (1980) " Regression diagnostics : identifying influential data and sources of collinearity ". John Wiley. Zbl0479.62056MR576408
  7. [7] Blattberg, R. Sargent, T. (1971) "Regression with Non-Gaussian stable disturbances : Some sampling results" Econometrica39, 501-510. 
  8. [8] Chaffai, M.E. (1985) "De l'estimation robuste dans les modèles linéaires : Une nouvelle méthode d'estimation optimale, La Lp Trace" th. Doct. 3ème cycle, Aix Marseille III. 
  9. [9] Cook, R.D. (1977) "Detection of influential observations in linear regression". Technometrics19, 15- 18. Zbl0371.62096MR436478
  10. [10] Cook, R.D., Weisberg, S. (1980) "Characterisations of an ampirical influence function for detecting influential cases in regression ". Technometrics22, 495-508. Zbl0453.62051MR596793
  11. [11] Denby, L., Larsen, W. (1977) "Robust regression estimators compared via Monte Carlo" Communications in StatisticsA6, 335 - 362. Zbl0379.62059
  12. [12] Dutter, R. (1977) "Numerical solution of robust regression problems : computational aspects a comparison". J. Stat. Comp. Simul., 5, 207-238. Zbl0352.62062
  13. [13] Fox, J. (1984) "Linear statistical models and related methods ". John Wiley. Zbl0647.62068MR747638
  14. [14] Hampel, F.R. (1974) "The influence curve and its role in robust estimation", JASA69, 383-394. Zbl0305.62031MR362657
  15. [15] Handschin, E., Kohlas, J., Fiechter, A., Schweppe, F. (1975) "Bad data analysis for power system state estimation", IEEE Transactions on Power Apparitus and Systems2, 329-337. 
  16. [16] Hnederson, H.V., Velleman, P.F. (1981) "Building multiple regression models interactively" Biometrics37, 391-411. Zbl0473.62003
  17. [17] Hoaglin, D.C., Welsch, R.E. (1978) "The Hat Matrix in regression and ANOVA". The American Statistician32, 17-22. Zbl0375.62070
  18. [18] Hoaglin, D.C., Mosteller, F., Tukey, J.W. (1983) " Understanding robust and exploratory data analysis" John Wiley. Zbl0599.62007MR1800901
  19. [19] Hogg, R.V (1979) "Statistical robustness : One view of its use in applications today" The American Statistician33, 108- 115. Zbl0419.62034MR547199
  20. [20] Holland, F.W., Welsch, R.E. (1977) "Robust regression using iteratively reweighted least squares". Communications in StatisticalA6, 813 -828. Zbl0376.62035
  21. [21] Huber, P.J. (1964) "Robust estimation of a location parameter". Ann. Math. Stat.37, 73-101. Zbl0136.39805MR161415
  22. [22] Huber, P.J. (1972) "Robust statistics : A review ". The Annals of Statistics45, 1041-1067. Zbl0254.62023MR314180
  23. [23] Huber, P.J. (1973) "Robust regression asymptotics conjectures and Monte Carlo" The Annals of Statistics5, 799- 821. Zbl0289.62033MR356373
  24. [24] Huber, P.J. (1981) "Robust Statistics", John Wiley. Zbl0536.62025MR606374
  25. [25] Krasker, W.S. (1980) "Estimation in linear regression models with disparate data points" Econometrica48, 1333- 1346. Zbl0467.62096MR584305
  26. [26] Krasker, W.S., Welsch, R.E. (1982) "Efficient bounded influence regression estimation", JASA77, 595- 604. Zbl0501.62062MR675886
  27. [27] Launer, R., Wilkinson, G.N. (1979) "Robustness in statistics " New YorkAcademic Press. Zbl0441.62033MR554183
  28. [28] Malinvaud, E. (1981) "Méthodes statistiques de l'économétrie" ParisDunod. Zbl0421.62084
  29. [29] Montgomery, D.C., Peck, E.A. (1982) "Introduction to linear regression analysis" John Wiley. Zbl0587.62134MR646067
  30. [30] Morineau, A. (1978) "Régression robuste : méthodes d'ajustement et de validation" RSA, vol. XXVI, 3, 5-28. 
  31. [31] Peters, S., Samarov, A., Welsch, R.E. (1982) "Computational procedures for bounded influence and robust regression (TROLL : BIFF and BIFMOD" Teclinical report n°30, MIT. Zbl0489.65080
  32. [32] Samarov, A.M. (1985) "Bounded influence regression via local Minimax MSE" JASA80, 1032-1040. Zbl0598.62031MR819611
  33. [33] Weisberg, R.E. (1980) "Applied Linear regression " John Wiley. Zbl0529.62054MR591462

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