Régressions robustes méthodes d'ajustement et de validation

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1. [1] Andrews D.F. (1971). — Significance Tests Based on Residuals — Biometrika, vol. 58, pp. 139-148. Zbl0218.62080
2. [2] Andrews D.F. (1974). - A Robust Method for Multiple Linear Regression. Technometrics, vol. 16, pp. 523-31. Zbl0294.62082MR368323
3. [3] 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
4. [4] Arvesen J.N. (1969). — Jackknifing U-Statistics. Ann. Math. Statist., vol. 40, pp. 2076-100 Zbl0193.16403
5. [5] Barrodale I., Roberts F.D.K. (1974) : Solution of an Overdetermined System of Equations in the L1 Norm (Algorithm 478. CACM, vol. 17, pp. 319-20. 
6. [6] Bickel P.J., Lehmann E.L. (1975). - Descriptive Statistics for Nonparametric Models (II Location. Ann. Statist., vol. 3, pp. 1045-69. Zbl0321.62055MR395021
7. [7] Cook R.D. (1977) : Detection of influential Observation in Linear Regression. Technometrics, vol. 19, pp. 15-8. Zbl0371.62096MR436478
8. [8] Denby L., Mallows C.L. (1977) : Two Diagnostic Displays for Robust Regression Analysis. Technometrics, vol. 19, pp. 1-13. Zbl0352.62064
9. [9] Dutter R. (1977) : Numerical solution of robust regression problems : computational aspects, a comparaison. J. Stat. Comput. Simul., vol. 5, pp. 207-38. Zbl0352.62062
10. [10] Ekblom H. (1974) : Lp methods for robust regression. Nordisk Tidskrift for informations behandling (BIT), vol. 14, pp. 22-32. Zbl0279.62017MR341759
11. [11] Forsythe A.B. (1972) : Robust estimation of straight line regression coefficients by minimizing pth power deviation. Technometrics, vol. 14, pp. 159-66. Zbl0226.62077
12. [12] Gunst R.F., Mason R.L. — Biaised estimation in regression : an evaluation using mean squared error. JASA, vol. 72, pp. 616-28. Zbl0369.62070
13. [13] Hampel F.R. (1973). — Robust estimation : A condensed partial survey. Z. Wahrscheinlichkeitstheorie verw. Geb., vol. 27, pp. 87-104. Zbl0255.62045
14. [14] Harvey A.C. (1977). — A comparaison of preliminary estimators for robust regression. JASA, vol. 72, pp. 910-3. Zbl0373.62039
15. [15] Hettmansperger T.P., Mckean J.N. (1977). - A robust alternative based on ranks to least squares in analysing linear models. Technometrics, vol. 19, pp. 275-84. Zbl0369.62052MR455204
16. [16] Hinich M.J., Talwar P.P. (1975). - A simple method for robust regression. JASA, vol. 70, pp. 113-9. Zbl0309.62045
17. [17] Hinkley D.V. (1977). — Jackknifing in unbalanced situations. Technometrics, vol. 19, pp. 285-92. Zbl0367.62085
18. [18] Hinkley D.V. (1977). — Jackknifing confidence limits using Student approximations. Biometrika, vol. 64, pp. 21-8. Zbl0347.62032
19. [19] Hinkley D.V. (1978). — Improving jackknife with special reference to correlation estimation. Biometrika, vol. 65, pp. 13-21. Zbl0398.62026
20. [20] Hoaglin D.C., Welsh R.E. (1978). — The hat matrix in regression and ANOVA. The Amer. Stat., vol. 32, pp. 17-22. Zbl0375.62070
21. [21] Hogg R.V., Randles R.H. (1975). - Adaptive distribution free regression methods and their applications. Technometrics, vol. 17, pp. 399-407. Zbl0324.62051MR395031
22. [22] Huber P.J. (1964). — Robust estimation of a location parameter. Ann. Math. Stat., vol. 37, pp. 73-101. Zbl0136.39805
23. [23] Huber P.J. (1972). - Robust statistics : a review. Ann. Math, Stat., vol. 43, pp. 1041-67. Zbl0254.62023MR314180
24. [24] Huber P.J. (1973). — Robust regression. — Asymptotics, conjectures and Monte-Carlo. Ann. Stat., vol. 5, pp. 799-821. Zbl0289.62033
25. [25] Jaeckel L.A. (1972). — Estimating regression coefficients by minimizing the dispersion of the residuals. Ann. Math. Statist., vol. 43, pp. 1449-58. Zbl0277.62049
26. [26] Lund R.E. (1975). - Tables for an approximate test for outliers in linear models. Technometrics, vol. 17, pp. 473-6. Zbl0326.62049MR375654
27. [27] Martin R.D., Masreliez C.J. (1975). - Robust estimation via stochastic approximation IEEE Trans. Inf. Theory, vol. IT-31, pp. 263-71. Zbl0363.62024MR395111
28. [28] Miller R.G. (1964). - A trustworthy jackknife. Ann. Math. Statist., vol. 35, pp. 1594-605 Zbl0212.21505MR169329
29. [29] Miller R.G. (1968). — Jackknifing variances. Ann. Math. Statist., vol. 39, pp. 567-82. Zbl0162.50201
30. [30] Miller R.G. (1974). - The jackknife - a review. Biometrika, vol. 61, pp. 1-15. Zbl0275.62035MR391366
31. [31 ] Miller R.G. (1974). - An unbalanced jackknife. Ann. Stat., vol. 2, pp. 880-91. Zbl0289.62042MR356353
32. [32] Mosteller F. (1971). — The Jackknife. Review of the International Statistical Institute, Vol. 39, pp. 363-8. 
33. [33] Mosteller F., Tukey J.W. (1968). - Data Analysis Including Statistics. In Handbook of Social Psychology (Eds G. LINDZEY et E. ARONSON), Addison Wesley, pp. 80-203. 
34. [34] Narula S.C., Wellington J.F. (1977). - Multiple Linear Regression with Minimum sum of Absolute Errors. Appl. Stat., vol. 26, pp. 106-11. 
35. [35] Prescott R.D. (1975). — Detection of influential Observation in Linear Regression. Technometrics, vol. 19, pp. 15-8. 
36. [36] Quenouille M.H. (1949). - Approximate Tests of Correlation in Time Series. J.R. Statist. Soc.B, vol. 11, pp. 68-84. Zbl0035.09201MR32176
37. [37] Quenouille M.H. (1956). - Notes on Bias in Estimation. Biometrika, vol. 43, pp. 353-60. Zbl0074.14003MR81040
38. [38] Ramsay J.O. (1977). - A Comparative Study of Several Robust Estimates of Slope, Intercept, and Scale in Linear Regression. JASA, vol. 72, pp. 608-15. Zbl0367.62058
39. [39] Rey W.J.J. (1977). - M-estimators in Robust Regression, a Case Study. in : Recent Developments in Statistics, (J.R. BARRA and al., editors). North-Holland, pp. 591-4. Zbl0366.62078
40. [40] Sielken R.L., Hartley H.O. (1973). — Two Linear Programming Algorithms for Unbiaised Estimation of Linear Models. JASA, vol. 68, pp. 639-41. Zbl0266.62024
41. [41 ] Snee R.D. (1977). —Validation of Regression Models, Methods and Examples. Technometrics, vol. 19, pp. 415-28. Zbl0369.62065
42. [42] Sposito V.A., Kennedy W.J., Gentle J.E. (1977). — Lp Norm Fit of a Straight Line. Appl. Stat. vol. 26, pp. 114-8. 
43. [43] Stigler S.M. (1973). - Simon Newcomb, Percy Daniel, and the History of Robust Estimation 1885-1920. JASA, vol. 68, pp. 872-9. Zbl0286.01011MR362575
44. [44] Tukey J.W. (1958). — Bias and Confidence in not-quite Large Samples (Abstract). Ann. Math. Statist., vol. 29, p. 614. 
45. [45] Tukey J.W. (1975). — Instead of Gauss-Markow Least Squares, What ? in Applied Statistics (R.P. GUPTA editor). North-Holland Publishing Company, pp. 351-72. Zbl0312.62051
46. [46] Tukey J.W. (1977). — Exploratory Data Analysis. Addison-Welsey. Zbl0409.62003
47. [47] Webster J.T., Gunst R.F., Mason R.L. (1974). — Latent Root Regression Analysis. Technometrics, vol. 16, pp. 513-22. Zbl0294.62081

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