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Volumn 87, Issue 3, 2000, Pages 675-687

Breakdown points of t-type regression estimators

Author keywords

Breakdown point; Generalised M estimator; Likelihood; Linear regression; Robustness; t distribution

Indexed keywords


EID: 0009409250     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/87.3.675     Document Type: Article
Times cited : (41)

References (26)
  • 1
    • 21144480630 scopus 로고
    • A bound influence, high breakdown, efficient regression estimator
    • COAKLEY, C. W. & HETTMANSPERGER, T. P. (1993). A bound influence, high breakdown, efficient regression estimator. J. Am. Statist. Assoc. 88, 872-80.
    • (1993) J. Am. Statist. Assoc. , vol.88 , pp. 872-880
    • Coakley, C.W.1    Hettmansperger, T.P.2
  • 2
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • DEMPSTER, A. P., LAIRD, N. M. & RUBIN, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with Discussion). J. R. Statist. Soc. B 39, 1-38.
    • (1977) J. R. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 3
    • 0002231562 scopus 로고
    • The notion of breakdown point
    • Ed. P. Bickel, K. Doksum and J. L. Hodges, Belmont, CA: Wadsworth
    • DONOHO, D. L. & HUBER, P. J. (1983). The notion of breakdown point. In A Festschrift for Erich Lehmann, Ed. P. Bickel, K. Doksum and J. L. Hodges, pp. 157-84. Belmont, CA: Wadsworth.
    • (1983) A Festschrift for Erich Lehmann , pp. 157-184
    • Donoho, D.L.1    Huber, P.J.2
  • 4
    • 0002661885 scopus 로고
    • Optimally bounding the gross-error-sensitivity and the influence of position in factor space
    • Washington, DC: American Statistical Association
    • HAMPEL, F. R. (1978). Optimally bounding the gross-error-sensitivity and the influence of position in factor space. In Proc. Statist. Comp. Sect., Am. Statist. Assoc., pp. 59-64. Washington, DC: American Statistical Association.
    • (1978) Proc. Statist. Comp. Sect., Am. Statist. Assoc. , pp. 59-64
    • Hampel, F.R.1
  • 6
    • 0001475414 scopus 로고
    • A local breakdown property of robust tests in linear regression
    • HE, X. (1991). A local breakdown property of robust tests in linear regression. J. Mult. Anal. 38, 294-305.
    • (1991) J. Mult. Anal. , vol.38 , pp. 294-305
    • He, X.1
  • 7
    • 0000475369 scopus 로고
    • Tail behavior of regression estimators and their breakdown points
    • HE, X., JUREČKOVÁ, J., KOENKER, R. & PORTNOY, S. (1990). Tail behavior of regression estimators and their breakdown points. Econometrica 58, 1159-214.
    • (1990) Econometrica , vol.58 , pp. 1159-1214
    • He, X.1    Jurečková, J.2    Koenker, R.3    Portnoy, S.4
  • 8
    • 0030343232 scopus 로고    scopus 로고
    • A general Bahadur representation of M-estimators and its application to linear regression with nonstochastic designs
    • HE, X. & SHAO, Q. M. (1996). A general Bahadur representation of M-estimators and its application to linear regression with nonstochastic designs. Ann. Statist. 24, 2608-30.
    • (1996) Ann. Statist. , vol.24 , pp. 2608-2630
    • He, X.1    Shao, Q.M.2
  • 9
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • HUBER, P. J. (1964). Robust estimation of a location parameter. Ann. Math. Statist. 35, 73-101.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 73-101
    • Huber, P.J.1
  • 11
    • 0001532082 scopus 로고
    • Finite sample breakdown of M- and P-estimators
    • HUBER, P. J. (1984). Finite sample breakdown of M- and P-estimators. Ann. Statist. 12, 119-26.
    • (1984) Ann. Statist. , vol.12 , pp. 119-126
    • Huber, P.J.1
  • 12
    • 0008596328 scopus 로고
    • A curious likelihood identity for the multivariate t-distribution
    • KENT, J. T., TYLER, D. E. & VARDI, Y. (1994). A curious likelihood identity for the multivariate t-distribution. Commun. Statist. B 23, 441-53.
    • (1994) Commun. Statist. B , vol.23 , pp. 441-453
    • Kent, J.T.1    Tyler, D.E.2    Vardi, Y.3
  • 14
    • 0001143341 scopus 로고
    • On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
    • MÄKELÄINEN, T., SCHMIDT, K. & STYAN, G. P. H. (1981). On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Ann. Statist. 9, 758-67.
    • (1981) Ann. Statist. , vol.9 , pp. 758-767
    • Mäkeläinen, T.1    Schmidt, K.2    Styan, G.P.H.3
  • 15
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • MARONNA, R. A. (1976). Robust M-estimators of multivariate location and scatter. Ann. Statist. 4, 51-67.
    • (1976) Ann. Statist. , vol.4 , pp. 51-67
    • Maronna, R.A.1
  • 16
    • 0041115994 scopus 로고
    • Asymptotic behavior of general M-estimates for regression and scale with random carriers
    • MARONNA, R. A. & YOHAI, V. J. (1981). Asymptotic behavior of general M-estimates for regression and scale with random carriers. Z. Wahr. Ver. Geb. 58, 7-21.
    • (1981) Z. Wahr. Ver. Geb. , vol.58 , pp. 7-21
    • Maronna, R.A.1    Yohai, V.J.2
  • 18
    • 38149146778 scopus 로고
    • Small sample efficiency and exact fit for Cauchy regression models
    • MORGENTHALER, S. (1994). Small sample efficiency and exact fit for Cauchy regression models. Statist. Prob. Lett. 19, 381-5.
    • (1994) Statist. Prob. Lett. , vol.19 , pp. 381-385
    • Morgenthaler, S.1
  • 19
    • 84950968334 scopus 로고
    • Least median of squares regression
    • ROUSSEEUW, P. J. (1984). Least median of squares regression. J. Am. Statist. Assoc. 79, 871-80.
    • (1984) J. Am. Statist. Assoc. , vol.79 , pp. 871-880
    • Rousseeuw, P.J.1
  • 20
    • 0002564033 scopus 로고
    • Multivariate estimation with high breakdown point
    • Ed. W. Grossmann, G. Pflug, I. Vincze and W. Wertz, Dordrecht: Reidel
    • ROUSSEEUW, P. J. (1985). Multivariate estimation with high breakdown point. In Mathematical Statistics and Applications B, Ed. W. Grossmann, G. Pflug, I. Vincze and W. Wertz, pp. 283-97. Dordrecht: Reidel.
    • (1985) Mathematical Statistics and Applications B , pp. 283-297
    • Rousseeuw, P.J.1
  • 22
    • 0031068514 scopus 로고    scopus 로고
    • Reweighting approximate GM estimators: Asymptotics and residual-based graphics
    • SIMPSON, D. G. & CHANG, Y. C. (1997). Reweighting approximate GM estimators: asymptotics and residual-based graphics. J. Statist. Plan. Infer. 57, 273-94.
    • (1997) J. Statist. Plan. Infer. , vol.57 , pp. 273-294
    • Simpson, D.G.1    Chang, Y.C.2
  • 23
    • 84950421188 scopus 로고
    • On one-step GM-estimates and stability of inferences in linear regression
    • SIMPSON, D. G., RUPPERT, D. & CARROLL, R. J. (1992). On one-step GM-estimates and stability of inferences in linear regression. J. Am. Statist. Assoc. 87, 439-50.
    • (1992) J. Am. Statist. Assoc. , vol.87 , pp. 439-450
    • Simpson, D.G.1    Ruppert, D.2    Carroll, R.J.3
  • 24
    • 0032345498 scopus 로고    scopus 로고
    • Functional stability of one-step GM-estimators in approximately linear regression
    • SIMPSON, D. G. & YOHAI, V. J. (1998). Functional stability of one-step GM-estimators in approximately linear regression. Ann. Statist. 26, 1147-69.
    • (1998) Ann. Statist. , vol.26 , pp. 1147-1169
    • Simpson, D.G.1    Yohai, V.J.2
  • 25
    • 21844523725 scopus 로고
    • Finite sample breakdown points of projection based multivariate location and scatter statistics
    • TYLER, D. E. (1994). Finite sample breakdown points of projection based multivariate location and scatter statistics. Ann. Statist. 22, 1024-44.
    • (1994) Ann. Statist. , vol.22 , pp. 1024-1044
    • Tyler, D.E.1
  • 26
    • 0024205301 scopus 로고
    • Models for longitudinal data: A generalized estimating equation approach
    • ZEGER, S. L., LIANG, K. Y. & ALBERT, P. S. (1988). Models for longitudinal data: a generalized estimating equation approach. Biometrika 44, 1049-60.
    • (1988) Biometrika , vol.44 , pp. 1049-1060
    • Zeger, S.L.1    Liang, K.Y.2    Albert, P.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.