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Volumn 15, Issue , 1997, Pages 49-75

3 Robust inference: The approach based on influence functions

(2)  Markatou, M a   Ronchetti, E a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347838562     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(97)15005-2     Document Type: Review
Times cited : (21)

References (105)
  • 1
    • 0008666220 scopus 로고
    • Weighted likelihood estimating equations: The continuous case
    • Columbia University, Dallas, Texas
    • Basu A., Markatou M., and Lindsay B.G. Weighted likelihood estimating equations: The continuous case. Technical Report (1995), Columbia University, Dallas, Texas
    • (1995) Technical Report
    • Basu, A.1    Markatou, M.2    Lindsay, B.G.3
  • 2
    • 0001538825 scopus 로고
    • Binary experiments, minimax tests and 2-alternating capacities
    • Bednarski T. Binary experiments, minimax tests and 2-alternating capacities. Ann. Statist. 10 (1982) 226-232
    • (1982) Ann. Statist. , vol.10 , pp. 226-232
    • Bednarski, T.1
  • 3
    • 0010805232 scopus 로고
    • Fréchet differentiability of statistical functionals and implications to robust statistics
    • Morgenthaler S., Ronchetti E., and Stahel W.A. (Eds), Birkhäuser
    • Bednarski T. Fréchet differentiability of statistical functionals and implications to robust statistics. In: Morgenthaler S., Ronchetti E., and Stahel W.A. (Eds). New Directions in Statistical Data Analysis and Robustness (1993), Birkhäuser 26-34
    • (1993) New Directions in Statistical Data Analysis and Robustness , pp. 26-34
    • Bednarski, T.1
  • 4
    • 0000204608 scopus 로고
    • Minimum Hellinger distance estimates for parametric models
    • Beran R. Minimum Hellinger distance estimates for parametric models. Ann. Statist. 5 (1977) 445-463
    • (1977) Ann. Statist. , vol.5 , pp. 445-463
    • Beran, R.1
  • 6
    • 0006325557 scopus 로고
    • One-step Huber estimates in linear models
    • Bickel P.J. One-step Huber estimates in linear models. J. Amer. Statist. Assoc. 70 (1975) 428-434
    • (1975) J. Amer. Statist. Assoc. , vol.70 , pp. 428-434
    • Bickel, P.J.1
  • 7
    • 0001269634 scopus 로고
    • Non-normality and tests on variances
    • Box G.E.P. Non-normality and tests on variances. Biometrika 40 (1953) 318-335
    • (1953) Biometrika , vol.40 , pp. 318-335
    • Box, G.E.P.1
  • 8
    • 0011336319 scopus 로고
    • On the estimation of slope and the identification of outliers in linear regression
    • Chambers R.L., and Heathcote C.R. On the estimation of slope and the identification of outliers in linear regression. Biometrika 68 (1981) 21-33
    • (1981) Biometrika , vol.68 , pp. 21-33
    • Chambers, R.L.1    Heathcote, C.R.2
  • 9
    • 0000527012 scopus 로고
    • Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations
    • Clarke B.R. Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations. Ann. Statist. 11 (1983) 1196-1205
    • (1983) Ann. Statist. , vol.11 , pp. 1196-1205
    • Clarke, B.R.1
  • 10
    • 0001239553 scopus 로고
    • Nonsmooth analysis and Fréchet differentiability of M functionals
    • Clarke B.R. Nonsmooth analysis and Fréchet differentiability of M functionals. Probability Theory and Related Fields 73 (1986) 197-209
    • (1986) Probability Theory and Related Fields , vol.73 , pp. 197-209
    • Clarke, B.R.1
  • 11
    • 21144480630 scopus 로고
    • A bounded influence, high breakdown, efficient regression estimator
    • Coakley C.W., and Hettmansperger T.P. A bounded influence, high breakdown, efficient regression estimator. J. Amer. Statist. Assoc. 88 (1993) 872-880
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 872-880
    • Coakley, C.W.1    Hettmansperger, T.P.2
  • 12
    • 0002231562 scopus 로고
    • The notion of breakdown point
    • Bickel P.J., Doksum K.A., and Hodges J.L. (Eds). Wadsworth, Belmont (CA)
    • Donoho D.L., and Huber P.J. The notion of breakdown point. In: Bickel P.J., Doksum K.A., and Hodges J.L. (Eds). A Festschrift for Erich L. Lehmann. Wadsworth, Belmont (CA) (1983) 157-184
    • (1983) A Festschrift for Erich L. Lehmann , pp. 157-184
    • Donoho, D.L.1    Huber, P.J.2
  • 13
    • 84989449364 scopus 로고
    • Marginal densities of M-estimators
    • Fan R.Y.K., and Field C.A. Marginal densities of M-estimators. Canad. J. Statist. 23 (1995) 185-197
    • (1995) Canad. J. Statist. , vol.23 , pp. 185-197
    • Fan, R.Y.K.1    Field, C.A.2
  • 14
    • 0041337276 scopus 로고
    • The distribution of a positive linear combination of chi-squared random variables
    • Farebrother R.W. The distribution of a positive linear combination of chi-squared random variables. Appl. Statist. 33 (1974) 332-339
    • (1974) Appl. Statist. , vol.33 , pp. 332-339
    • Farebrother, R.W.1
  • 15
    • 0003222145 scopus 로고
    • Von Mises Calculus for Statistical Functionals
    • Springer-Verlag, Basel
    • Fernholz L.T. Von Mises Calculus for Statistical Functionals. Lectures Notes in Statistics 19 (1983), Springer-Verlag, Basel
    • (1983) Lectures Notes in Statistics , vol.19
    • Fernholz, L.T.1
  • 16
    • 0002553272 scopus 로고
    • A tail area influence function and its application to testing
    • Field C.A., and Ronchetti E. A tail area influence function and its application to testing. Communications in Statistics C 4 (1985) 19-41
    • (1985) Communications in Statistics C , vol.4 , pp. 19-41
    • Field, C.A.1    Ronchetti, E.2
  • 18
    • 21844504972 scopus 로고
    • Robust estimation - a weighted maximum likelihood approach
    • Field C.A., and Smith B. Robust estimation - a weighted maximum likelihood approach. Internat. Statist. Rev. 62 (1995) 405-424
    • (1995) Internat. Statist. Rev. , vol.62 , pp. 405-424
    • Field, C.A.1    Smith, B.2
  • 20
    • 0011557934 scopus 로고
    • General M-estimators and applications to bounded influence estimation for nonlinear regression
    • Fraiman R. General M-estimators and applications to bounded influence estimation for nonlinear regression. Communications in Statistics, Theory and Methods 12 22 (1983) 2617-2631
    • (1983) Communications in Statistics, Theory and Methods , vol.12 , Issue.22 , pp. 2617-2631
    • Fraiman, R.1
  • 21
    • 79952544057 scopus 로고
    • Nonlinear regression
    • Gallant A.R. Nonlinear regression. Amer. Statist. 29 (1975) 73-81
    • (1975) Amer. Statist. , vol.29 , pp. 73-81
    • Gallant, A.R.1
  • 22
    • 70350344892 scopus 로고
    • Développement asymptotique de tests statistiques suivant asymptotiquement une loi du chi-carré sous une suite d'alternatives locales: résultats théoriques et modules informatiques
    • HEC, University of Lausanne, New York
    • Gardiol L. Développement asymptotique de tests statistiques suivant asymptotiquement une loi du chi-carré sous une suite d'alternatives locales: résultats théoriques et modules informatiques. Ph.D thesis (1995), HEC, University of Lausanne, New York
    • (1995) Ph.D thesis
    • Gardiol, L.1
  • 23
    • 0030551134 scopus 로고    scopus 로고
    • General saddlepoint approximations of marginal densities and tail probabilities
    • Gatto R., and Ronchetti E. General saddlepoint approximations of marginal densities and tail probabilities. J. Amer. Statist. Assoc. 91 (1996) 666-673
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 666-673
    • Gatto, R.1    Ronchetti, E.2
  • 24
    • 0001648516 scopus 로고
    • Iteratively reweighted least squares for maximum likelihood estimation, and some robust and resistant alternatives
    • Green P.J. Iteratively reweighted least squares for maximum likelihood estimation, and some robust and resistant alternatives. J. Roy. Statist. Soc. B 46 (1984) 149-192
    • (1984) J. Roy. Statist. Soc. B , vol.46 , pp. 149-192
    • Green, P.J.1
  • 25
    • 0003571458 scopus 로고
    • Contribution to the theory of robust estimation
    • University of California, Switzerland
    • Hampel F.R. Contribution to the theory of robust estimation. Ph.D thesis (1968), University of California, Switzerland
    • (1968) Ph.D thesis
    • Hampel, F.R.1
  • 26
    • 0001340473 scopus 로고
    • A general qualitative definition of robustness
    • Hampel F.R. A general qualitative definition of robustness. Ann. Math. Statist. 42 (1971) 1887-1896
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1887-1896
    • Hampel, F.R.1
  • 28
    • 84950646761 scopus 로고
    • The influence curve and its role in robust estimation
    • Hampel F.R. The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69 (1974) 383-393
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 383-393
    • Hampel, F.R.1
  • 31
    • 0001475414 scopus 로고
    • A local breakdown property of robust tests in linear regression
    • He X. A local breakdown property of robust tests in linear regression. J. Multivar. Anal. 38 (1991) 294-305
    • (1991) J. Multivar. Anal. , vol.38 , pp. 294-305
    • He, X.1
  • 34
    • 53349156098 scopus 로고
    • Linear regression by functional least squares
    • Heathcote C.R. Linear regression by functional least squares. Appl. Prob. A 19 (1982) 225-239
    • (1982) Appl. Prob. A , vol.19 , pp. 225-239
    • Heathcote, C.R.1
  • 35
    • 0010801944 scopus 로고
    • Contribution to robustness in nonlinear models: application to economic data
    • Faculty of Economic and Social Sciences, University of Geneva, New York
    • Heritier S. Contribution to robustness in nonlinear models: application to economic data. Ph.D thesis (1993), Faculty of Economic and Social Sciences, University of Geneva, New York
    • (1993) Ph.D thesis
    • Heritier, S.1
  • 37
    • 21844487129 scopus 로고
    • Robust bounded-influence tests in general parametric models
    • Heritier S., and Ronchetti E. Robust bounded-influence tests in general parametric models. J. Amer. Statist. Assoc. 89 (1994) 897-904
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 897-904
    • Heritier, S.1    Ronchetti, E.2
  • 40
    • 0001675636 scopus 로고
    • A geometric interpretation of inferences based on ranks in the linear model
    • Hettmansperger T.P., and McKean J.W. A geometric interpretation of inferences based on ranks in the linear model. J. Amer. Statist. Assoc. 78 (1983) 885-893
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 885-893
    • Hettmansperger, T.P.1    McKean, J.W.2
  • 41
    • 0010805822 scopus 로고
    • Some research directions in rank-based inference
    • Stahel W., and Weisberg S. (Eds), Springer-Verlag, New York
    • Hettmansperger T.P., and Naranjo J.D. Some research directions in rank-based inference. In: Stahel W., and Weisberg S. (Eds). Directions in Robust Statistics and Diagnostics (Part I) (1991), Springer-Verlag, New York 113-120
    • (1991) Directions in Robust Statistics and Diagnostics (Part I) , pp. 113-120
    • Hettmansperger, T.P.1    Naranjo, J.D.2
  • 42
    • 70350347652 scopus 로고
    • An asymptotic expansion for the distribution of test criteria which are asymptotically distributed as chi-squared under contiguous alternatives
    • Maddala G.S. (Ed)
    • Holly A., and Gardiol L. An asymptotic expansion for the distribution of test criteria which are asymptotically distributed as chi-squared under contiguous alternatives. In: Maddala G.S. (Ed). Advances in Econometrics and Quantitative Economics (1995) 123-145
    • (1995) Advances in Econometrics and Quantitative Economics , pp. 123-145
    • Holly, A.1    Gardiol, L.2
  • 44
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • Huber P.J. Robust estimation of a location parameter. Ann. Math. Statist. 35 (1964) 73-101
    • (1964) Ann. Math. Statist. , vol.35 , pp. 73-101
    • Huber, P.J.1
  • 45
    • 0000375621 scopus 로고
    • A robust version of the probability ratio test
    • Huber P.J. A robust version of the probability ratio test. Ann. Math. Statist. 36 (1965) 1753-1758
    • (1965) Ann. Math. Statist. , vol.36 , pp. 1753-1758
    • Huber, P.J.1
  • 48
    • 0001033261 scopus 로고
    • Robust regression: Asymptotics, conjectures and Monte Carlo
    • Huber P.J. Robust regression: Asymptotics, conjectures and Monte Carlo. Ann. Statist. 1 (1973) 799-821
    • (1973) Ann. Statist. , vol.1 , pp. 799-821
    • Huber, P.J.1
  • 50
    • 0041051473 scopus 로고
    • Between robustness and diagnostics
    • Stahel W., and Weisberg S. (Eds), Springer-Verlag, New York
    • Huber P.J. Between robustness and diagnostics. In: Stahel W., and Weisberg S. (Eds). Directions in Robust Statistics and Diagnostics (Part I) (1991), Springer-Verlag, New York 121-130
    • (1991) Directions in Robust Statistics and Diagnostics (Part I) , pp. 121-130
    • Huber, P.J.1
  • 51
    • 0001151052 scopus 로고
    • Minimax tests and the Neyman-Pearson lemma for capacities
    • Huber P.J., and Strassen V. Minimax tests and the Neyman-Pearson lemma for capacities. Ann. Statist. 1 (1973) 251-263
    • (1973) Ann. Statist. , vol.1 , pp. 251-263
    • Huber, P.J.1    Strassen, V.2
  • 52
    • 0040558076 scopus 로고
    • Minimax tests and the Neyman-Pearson lemma for capacities
    • Huber P.J., and Strassen V. Minimax tests and the Neyman-Pearson lemma for capacities. Ann. Statist. 2 (1973) 223-224
    • (1973) Ann. Statist. , vol.2 , pp. 223-224
    • Huber, P.J.1    Strassen, V.2
  • 53
    • 0003823652 scopus 로고
    • Etude asymptotique de tests robustes
    • ETH, New York
    • Huber-Carol C. Etude asymptotique de tests robustes. Ph.D thesis (1970), ETH, New York
    • (1970) Ph.D thesis
    • Huber-Carol, C.1
  • 54
    • 84950452958 scopus 로고
    • Efficient bounded-influence regression estimation
    • Krasker W.S., and Welsch R.E. Efficient bounded-influence regression estimation. J. Amer. Statist. Assoc. 77 (1982) 595-604
    • (1982) J. Amer. Statist. Assoc. , vol.77 , pp. 595-604
    • Krasker, W.S.1    Welsch, R.E.2
  • 55
    • 0011091801 scopus 로고    scopus 로고
    • Robust estimators for simultaneous equations models
    • to appear
    • to appear. Krishnakumar J., and Ronchetti E. Robust estimators for simultaneous equations models. J. Econometrics (1997)
    • (1997) J. Econometrics
    • Krishnakumar, J.1    Ronchetti, E.2
  • 56
    • 0000648982 scopus 로고
    • Conditionally unbiased bounded-influence estimation in general regression models, with applications to generalized linear models
    • Künsch H.R., Stefanski L.A., and Carroll R.J. Conditionally unbiased bounded-influence estimation in general regression models, with applications to generalized linear models. J. Amer. Statist. Assoc. 84 (1989) 460-466
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 460-466
    • Künsch, H.R.1    Stefanski, L.A.2    Carroll, R.J.3
  • 57
    • 0010806338 scopus 로고
    • Influence functions for testing
    • Lambert D. Influence functions for testing. J. Amer. Statist. Assoc. 76 (1981) 649-657
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 649-657
    • Lambert, D.1
  • 58
    • 0010803714 scopus 로고
    • Consistency of deviance-based M-estimators
    • Lenth R.V., and Green P.J. Consistency of deviance-based M-estimators. J. Roy. Statist. Soc. B 49 (1987) 326-330
    • (1987) J. Roy. Statist. Soc. B , vol.49 , pp. 326-330
    • Lenth, R.V.1    Green, P.J.2
  • 59
    • 70350346788 scopus 로고
    • Robust analysis of variance based on the sample characteristic function
    • Lenth R.V., Markatou M., and Tsimikas J. Robust analysis of variance based on the sample characteristic function. Australian Journal of Statistics 37 (1995) 1-16
    • (1995) Australian Journal of Statistics , vol.37 , pp. 1-16
    • Lenth, R.V.1    Markatou, M.2    Tsimikas, J.3
  • 60
    • 0011652314 scopus 로고
    • Efficiency versus robustness: the case for minimum Hellinger distance and related methods
    • Lindsay B.G. Efficiency versus robustness: the case for minimum Hellinger distance and related methods. Ann. Statist. 22 (1994) 1081-1114
    • (1994) Ann. Statist. , vol.22 , pp. 1081-1114
    • Lindsay, B.G.1
  • 62
    • 70350346789 scopus 로고    scopus 로고
    • Weighted likelihood estimating equations: the discrete case with applications to logistic regression
    • to appear
    • to appear. Markatou M., Basu A., and Lindsay B.G. Weighted likelihood estimating equations: the discrete case with applications to logistic regression. J. Statist. Plan. Infer. (1996)
    • (1996) J. Statist. Plan. Infer.
    • Markatou, M.1    Basu, A.2    Lindsay, B.G.3
  • 63
    • 70350303526 scopus 로고
    • Bounded influence and high breakdown point testing procedures in linear models
    • Markatou M., and He X. Bounded influence and high breakdown point testing procedures in linear models. J. Amer. Statist. Assoc. 89 (1994) 543-549
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 543-549
    • Markatou, M.1    He, X.2
  • 65
    • 38249014609 scopus 로고
    • Applications of the asymmetric eigenvalue problem techniques to robust testing
    • Markatou M., and Hettmansperger T.P. Applications of the asymmetric eigenvalue problem techniques to robust testing. J. Statist. Plan. Infer. 31 (1992) 51-65
    • (1992) J. Statist. Plan. Infer. , vol.31 , pp. 51-65
    • Markatou, M.1    Hettmansperger, T.P.2
  • 66
    • 84989419858 scopus 로고
    • Robust scale estimation in the error components model
    • Markatou M., and Horowitz J.L. Robust scale estimation in the error components model. Canad. J. Statist. 23 (1995) 369-381
    • (1995) Canad. J. Statist. , vol.23 , pp. 369-381
    • Markatou, M.1    Horowitz, J.L.2
  • 67
    • 58149209184 scopus 로고
    • A robust scale estimator based on the empirical characteristic function
    • Markatou M., Horowitz J.L., and Lenth R.V. A robust scale estimator based on the empirical characteristic function. Statist. Prob. Lett. 25 (1995) 185-192
    • (1995) Statist. Prob. Lett. , vol.25 , pp. 185-192
    • Markatou, M.1    Horowitz, J.L.2    Lenth, R.V.3
  • 68
    • 70350302536 scopus 로고
    • Robust tests in nonlinear regression models
    • to appear
    • to appear. Markatou M., and Manos G. Robust tests in nonlinear regression models. J. Statist. Plan. Infer. (1995)
    • (1995) J. Statist. Plan. Infer.
    • Markatou, M.1    Manos, G.2
  • 69
    • 0010935386 scopus 로고
    • Robust M-type testing procedures for linear models
    • Stahel W., and Weisberg S. (Eds), Springer-Verlag, Belmont (CA)
    • Markatou M., Stahel W.A., and Ronchetti E. Robust M-type testing procedures for linear models. In: Stahel W., and Weisberg S. (Eds). Directions in Robust Statistics and Diagnostics (Part I) (1991), Springer-Verlag, Belmont (CA) 201-220
    • (1991) Directions in Robust Statistics and Diagnostics (Part I) , pp. 201-220
    • Markatou, M.1    Stahel, W.A.2    Ronchetti, E.3
  • 70
    • 84950454905 scopus 로고
    • Robust confidence intervals for a location parameter: The configural approach
    • Morgenthaler S. Robust confidence intervals for a location parameter: The configural approach. J. Amer. Statist. Assoc. 81 (1986) 518-525
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 518-525
    • Morgenthaler, S.1
  • 72
    • 23544431584 scopus 로고
    • Habilitationsschrift, Fachbereich Mathematik und Informatik, Freie Universität Berlin, New York
    • Müller C. Outlier robust inference for planned experiments (1995), Habilitationsschrift, Fachbereich Mathematik und Informatik, Freie Universität Berlin, New York
    • (1995) Outlier robust inference for planned experiments
    • Müller, C.1
  • 73
    • 21344487778 scopus 로고
    • On robustness for hypotheses testing
    • Perez A.G. On robustness for hypotheses testing. Internat. Statist. Rev. 61 (1993) 369-385
    • (1993) Internat. Statist. Rev. , vol.61 , pp. 369-385
    • Perez, A.G.1
  • 74
    • 0000350475 scopus 로고
    • Logistic regression diagnostics
    • Pregibon D. Logistic regression diagnostics. Ann. Statist. 9 (1981) 705-724
    • (1981) Ann. Statist. , vol.9 , pp. 705-724
    • Pregibon, D.1
  • 77
    • 0040521871 scopus 로고
    • Some problems in estimation in mixed linear models
    • Australian National University, New York
    • Richardson A.M. Some problems in estimation in mixed linear models. Ph.D thesis (1995), Australian National University, New York
    • (1995) Ph.D thesis
    • Richardson, A.M.1
  • 78
    • 0001075456 scopus 로고
    • A robust asymptotic testing model
    • Rieder H. A robust asymptotic testing model. Ann. Statist. 6 (1978) 1080-1094
    • (1978) Ann. Statist. , vol.6 , pp. 1080-1094
    • Rieder, H.1
  • 79
    • 0010802258 scopus 로고
    • Robustheitseigenschaften von Tests
    • ETH, Canberra
    • Ronchetti E. Robustheitseigenschaften von Tests. Diploma thesis (1979), ETH, Canberra
    • (1979) Diploma thesis
    • Ronchetti, E.1
  • 80
    • 0010869112 scopus 로고
    • Robust alternatives to the F-test for the linear model
    • Grossmann W., Pflug C., and Wertz W. (Eds), Reidel, Zürich, Switzerland
    • Ronchetti E. Robust alternatives to the F-test for the linear model. In: Grossmann W., Pflug C., and Wertz W. (Eds). Probability and Statistical Inference (1982), Reidel, Zürich, Switzerland 329-342
    • (1982) Probability and Statistical Inference , pp. 329-342
    • Ronchetti, E.1
  • 81
    • 0003405382 scopus 로고
    • Robust testing in linear models: The infinitesimal approach
    • ETH, Dortrecht
    • Ronchetti E. Robust testing in linear models: The infinitesimal approach. Ph.D thesis (1982), ETH, Dortrecht
    • (1982) Ph.D thesis
    • Ronchetti, E.1
  • 82
    • 0002423087 scopus 로고
    • Empirical saddlepoint approximations for multivariate M-estimators
    • Ronchetti E., and Welsh A.H. Empirical saddlepoint approximations for multivariate M-estimators. J. Roy. Statist. Soc. B 56 (1994) 313-326
    • (1994) J. Roy. Statist. Soc. B , vol.56 , pp. 313-326
    • Ronchetti, E.1    Welsh, A.H.2
  • 84
    • 0010927414 scopus 로고
    • The influence curve for tests
    • Fachgruppe für Statistik, ETH, New York
    • Rousseeuw P.J., and Ronchetti E. The influence curve for tests. Research Report 21 (1979), Fachgruppe für Statistik, ETH, New York
    • (1979) Research Report 21
    • Rousseeuw, P.J.1    Ronchetti, E.2
  • 86
    • 21344464624 scopus 로고
    • Discriminability of robust test under heavy contamination
    • Rubio A.M., and Visek J.A. Discriminability of robust test under heavy contamination. Kybernetika 29 (1993) 377-388
    • (1993) Kybernetika , vol.29 , pp. 377-388
    • Rubio, A.M.1    Visek, J.A.2
  • 87
    • 0001092634 scopus 로고
    • Computing S estimators for regression and multivariate location/dispersion
    • Ruppert D. Computing S estimators for regression and multivariate location/dispersion. J. Comput. Graph. Statist. 1 (1992) 253-270
    • (1992) J. Comput. Graph. Statist. , vol.1 , pp. 253-270
    • Ruppert, D.1
  • 88
    • 0018867880 scopus 로고
    • Robust analysis of variance based upon a likelihood ratio criterion
    • Schrader R.M., and Hettmansperger T.P. Robust analysis of variance based upon a likelihood ratio criterion. Biometrika 67 (1980) 93-101
    • (1980) Biometrika , vol.67 , pp. 93-101
    • Schrader, R.M.1    Hettmansperger, T.P.2
  • 89
    • 0043109093 scopus 로고
    • On M-tests in linear models
    • Sen P.K. On M-tests in linear models. Biometrika 69 (1982) 245-248
    • (1982) Biometrika , vol.69 , pp. 245-248
    • Sen, P.K.1
  • 90
    • 0001225045 scopus 로고
    • Robust Wald-type tests of one sided hypothesis in the linear model
    • Silvapulle M.J. Robust Wald-type tests of one sided hypothesis in the linear model. J. Amer. Statist. Assoc. 87 (1992) 156-161
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 156-161
    • Silvapulle, M.J.1
  • 92
    • 0001739061 scopus 로고
    • Hellinger deviance tests: efficiency, breakdown points and examples
    • Simpson D.G. Hellinger deviance tests: efficiency, breakdown points and examples. J. Amer. Statist. Assoc. 84 (1989) 107-113
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 107-113
    • Simpson, D.G.1
  • 93
    • 84950421188 scopus 로고
    • On one-step GM-estimates and stability of inferences in linear regression
    • Simpson D.G., Ruppert D., and Carroll R.J. On one-step GM-estimates and stability of inferences in linear regression. J. Amer. Statist. Assoc. 87 (1992) 439-449
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 439-449
    • Simpson, D.G.1    Ruppert, D.2    Carroll, R.J.3
  • 94
    • 0004537632 scopus 로고
    • Distribution of a sum of weighted chi-square variables
    • Solomon H., and Stephens M.A. Distribution of a sum of weighted chi-square variables. J. Amer. Statist. Assoc. 72 (1977) 881-885
    • (1977) J. Amer. Statist. Assoc. , vol.72 , pp. 881-885
    • Solomon, H.1    Stephens, M.A.2
  • 98
    • 0001059582 scopus 로고
    • Optimally bounded score functions for generalized linear models with application to logistic regression
    • Stefanski L.A., Carroll R.J., and Ruppert D. Optimally bounded score functions for generalized linear models with application to logistic regression. Biometrika 73 (1986) 413-424
    • (1986) Biometrika , vol.73 , pp. 413-424
    • Stefanski, L.A.1    Carroll, R.J.2    Ruppert, D.3
  • 100
    • 0001946052 scopus 로고
    • Robust methods for personal income distribution models
    • Faculty of Economic and Social Science, University of Geneva, New York
    • Victoria-Feser M.P. Robust methods for personal income distribution models. Ph.D thesis (1993), Faculty of Economic and Social Science, University of Geneva, New York
    • (1993) Ph.D thesis
    • Victoria-Feser, M.P.1
  • 101
    • 84989454105 scopus 로고
    • Robust methods for personal-income distribution models
    • Victoria-Feser M.P., and Ronchetti E. Robust methods for personal-income distribution models. Canad. J. Statist. 22 (1994) 247-258
    • (1994) Canad. J. Statist. , vol.22 , pp. 247-258
    • Victoria-Feser, M.P.1    Ronchetti, E.2
  • 102
    • 0000669703 scopus 로고
    • On the asymptotic distribution of differentiable statistical functions
    • von Mises R. On the asymptotic distribution of differentiable statistical functions. Ann. Math. Statist. 18 (1947) 309-348
    • (1947) Ann. Math. Statist. , vol.18 , pp. 309-348
    • von Mises, R.1
  • 103
    • 0042720440 scopus 로고
    • An angular approach for linear data
    • Welsh A.H. An angular approach for linear data. Biometrika 72 (1985) 441-450
    • (1985) Biometrika , vol.72 , pp. 441-450
    • Welsh, A.H.1


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