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Volumn 36, Issue 1, 2008, Pages 118-146

High breakdown point robust regression with censored data

Author keywords

Accelerated failure time models; Censored data; High breakdown point estimates; Linear regression model; Robust estimates

Indexed keywords


EID: 50649121652     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000794     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 0001682292 scopus 로고
    • A large sample study of the life table and product limit estimates under random censorship
    • MR0458674
    • BRESLOW, N. E. and CROWLEY, J. (1974). A large sample study of the life table and product limit estimates under random censorship. Ann. Statist. 2 437-453. MR0458674
    • (1974) Ann. Statist , vol.2 , pp. 437-453
    • BRESLOW, N.E.1    CROWLEY, J.2
  • 2
    • 0018668029 scopus 로고
    • Linear regression with censored data
    • BUCKLEY, J. and JAMES, I. (1979). Linear regression with censored data. Biometrika 66 429-436.
    • (1979) Biometrika , vol.66 , pp. 429-436
    • BUCKLEY, J.1    JAMES, I.2
  • 3
    • 50649095408 scopus 로고    scopus 로고
    • DONOHO, D. L. and HUBER, P. J. (1983). The notion of breakdown-point. In A Festschrift for Erich L. Lehmann (P. J. Bickel. K. A. Doksum and J. L. Hodges, Jr., eds.) 157-184. Wadsworth, Belmont, CA. MR0689745
    • DONOHO, D. L. and HUBER, P. J. (1983). The notion of breakdown-point. In A Festschrift for Erich L. Lehmann (P. J. Bickel. K. A. Doksum and J. L. Hodges, Jr., eds.) 157-184. Wadsworth, Belmont, CA. MR0689745
  • 4
    • 0001104182 scopus 로고
    • The two sample problem with censored
    • Univ. California Press, Berkeley
    • EFRON, B. (1967). The two sample problem with censored data. Proc. 5th Berkeley Symp. Math. Statist. Probab. 4 831-853. Univ. California Press, Berkeley.
    • (1967) data. Proc. 5th Berkeley Symp. Math. Statist. Probab , vol.4 , pp. 831-853
    • EFRON, B.1
  • 5
    • 38249013549 scopus 로고
    • On the optimality of S-estimators
    • MR1179647
    • HÖSSJER, O. (1992). On the optimality of S-estimators. Statist. Probab. Lett. 14 413-419. MR1179647
    • (1992) Statist. Probab. Lett , vol.14 , pp. 413-419
    • HÖSSJER, O.1
  • 6
    • 50649125747 scopus 로고    scopus 로고
    • HUBER, P. J. (1981). Robust Statistics. Wiley. New York. MR0606374
    • HUBER, P. J. (1981). Robust Statistics. Wiley. New York. MR0606374
  • 7
    • 0000954869 scopus 로고
    • Consistency results for linear regression with censored data
    • MR0740913
    • JAMES, I. R. and SMITH, P. J. (1984). Consistency results for linear regression with censored data. Ann. Statist. 12 590-600. MR0740913
    • (1984) Ann. Statist , vol.12 , pp. 590-600
    • JAMES, I.R.1    SMITH, P.J.2
  • 8
    • 85088938629 scopus 로고    scopus 로고
    • KALBFLEISCH, J. D. and PRENTICE, R. L. (1980). The Statistical Analysis of Failure Time Data. Wiley. New York. MR0570114
    • KALBFLEISCH, J. D. and PRENTICE, R. L. (1980). The Statistical Analysis of Failure Time Data. Wiley. New York. MR0570114
  • 9
    • 33845382806 scopus 로고
    • Nonparametric estimation for incomplete observations
    • MR0093867
    • KAPLAN, E. L. and MEIER, P. (1958). Nonparametric estimation for incomplete observations. J. Amer. Statist. Assoc. 53 457-481. MR0093867
    • (1958) J. Amer. Statist. Assoc , vol.53 , pp. 457-481
    • KAPLAN, E.L.1    MEIER, P.2
  • 10
    • 0002459742 scopus 로고
    • Large sample theory of a modified Bukley-James estimator for regression analysis with censored data
    • MR 1126329
    • LAI, T. L. and YING, Z. (1991). Large sample theory of a modified Bukley-James estimator for regression analysis with censored data. Ann. Statist. 19 1370-1402. MR 1126329
    • (1991) Ann. Statist , vol.19 , pp. 1370-1402
    • LAI, T.L.1    YING, Z.2
  • 11
    • 0010162845 scopus 로고
    • A missing information principle and M-estimators in regression analysis with censored and truncated data
    • MR 1311974
    • LAI, T. L. and YING, Z. (1994). A missing information principle and M-estimators in regression analysis with censored and truncated data. Ann. Statist. 22 1222-1255. MR 1311974
    • (1994) Ann. Statist , vol.22 , pp. 1222-1255
    • LAI, T.L.1    YING, Z.2
  • 12
    • 0017176841 scopus 로고
    • Least squares regression with censored data
    • MR0458737
    • MILLER, R. G. (1976). Least squares regression with censored data. Biometrika 63 449-464. MR0458737
    • (1976) Biometrika , vol.63 , pp. 449-464
    • MILLER, R.G.1
  • 13
    • 0000637305 scopus 로고
    • Estimation in a linear regression model with censored data
    • MR1041395
    • RITOV, Y. (1990). Estimation in a linear regression model with censored data. Ann. Statist. 18 303-328. MR1041395
    • (1990) Ann. Statist , vol.18 , pp. 303-328
    • RITOV, Y.1
  • 14
    • 84950968334 scopus 로고
    • Least median of squares regression
    • MR0770281
    • ROUSSEEUW, P. J. (1984). Least median of squares regression. J. Amen Statist. Assoc. 79 871-880. MR0770281
    • (1984) J. Amen Statist. Assoc , vol.79 , pp. 871-880
    • ROUSSEEUW, P.J.1
  • 15
    • 50649097851 scopus 로고    scopus 로고
    • ROUSSEEUW, P. J. and LEROY, A. M. (1987). Robust Regression and Outlier Detection. Wiley, New York. MR0914792
    • ROUSSEEUW, P. J. and LEROY, A. M. (1987). Robust Regression and Outlier Detection. Wiley, New York. MR0914792
  • 16
    • 50649096741 scopus 로고    scopus 로고
    • ROUSSEEUW, P. J. and YOHAI, V. J. (1984). Robust regression by means of S-estimators. In Robust and Nonlinear Time Series Analysis (J. Franke, W. Hardie and R. D. Martin, eds.) Lecture Notes in Statist. 26 256-276. Springer, New York. MR0786313
    • ROUSSEEUW, P. J. and YOHAI, V. J. (1984). Robust regression by means of S-estimators. In Robust and Nonlinear Time Series Analysis (J. Franke, W. Hardie and R. D. Martin, eds.) Lecture Notes in Statist. 26 256-276. Springer, New York. MR0786313
  • 17
    • 50649093040 scopus 로고    scopus 로고
    • SALIBIAN-BARRERA, M. and YOHAI, V. J. (2006). High-breakdown point robust regression with censored data. Technical Report #, Dept. Statistics, Univ. British Columbia, Vancouver, BC, Canada. Available at http://www.stat.ubc.ca/Research/TechReports/.
    • SALIBIAN-BARRERA, M. and YOHAI, V. J. (2006). High-breakdown point robust regression with censored data. Technical Report #, Dept. Statistics, Univ. British Columbia, Vancouver, BC, Canada. Available at http://www.stat.ubc.ca/Research/TechReports/.
  • 18
    • 28044472225 scopus 로고    scopus 로고
    • Uniform representation of product-limit integrals with applications
    • MR2232343
    • SELLERO, C. S., MANTEIGA, W. G. and VAN KEILEGOM, I. (2005). Uniform representation of product-limit integrals with applications. Stand. J. Statist. 32 563-581. MR2232343
    • (2005) Stand. J. Statist , vol.32 , pp. 563-581
    • SELLERO, C.S.1    MANTEIGA, W.G.2    VAN KEILEGOM, I.3
  • 19
    • 38249001712 scopus 로고
    • Consistent estimation under random censorship when covariates are present
    • MR1222607
    • STUTE, W. (1993). Consistent estimation under random censorship when covariates are present. J. Multivariate Anal. 45 89-103. MR1222607
    • (1993) J. Multivariate Anal , vol.45 , pp. 89-103
    • STUTE, W.1
  • 20
    • 0030506022 scopus 로고    scopus 로고
    • Distributional convergence under random censorship when covariates are present
    • MR 1439707
    • STUTE, W. (1996). Distributional convergence under random censorship when covariates are present. Scand. J. Statist. 23 461-471. MR 1439707
    • (1996) Scand. J. Statist , vol.23 , pp. 461-471
    • STUTE, W.1
  • 21
    • 0009936695 scopus 로고
    • The strong law under random censoring
    • MR1241280
    • STUTE, W. and WANG, J. L. (1993). The strong law under random censoring. Ann. Statist. 21 1591-1607. MR1241280
    • (1993) Ann. Statist , vol.21 , pp. 1591-1607
    • STUTE, W.1    WANG, J.L.2
  • 22
    • 0001742386 scopus 로고
    • High breakdown-point and high efficiency robust estimates for regression
    • MR0888431
    • YOHAI, V. J. (1987). High breakdown-point and high efficiency robust estimates for regression. Ann. Statist. 15 642-656. MR0888431
    • (1987) Ann. Statist , vol.15 , pp. 642-656
    • YOHAI, V.J.1
  • 23
    • 84950426631 scopus 로고
    • High breakdown point and high efficiency estimates of regression by means of the minimization of an efficient scale
    • MR0971366
    • YOHAI, V. J. and ZAMAR, R. H. (1988). High breakdown point and high efficiency estimates of regression by means of the minimization of an efficient scale. J. Amer. Statist. Assoc. 83 406-413. MR0971366
    • (1988) J. Amer. Statist. Assoc , vol.83 , pp. 406-413
    • YOHAI, V.J.1    ZAMAR, R.H.2


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