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Volumn 103, Issue 1-2, 2001, Pages 5-72

S-estimation of nonlinear regression models with dependent and heterogeneous observations

Author keywords

Asymptotic properties; High breakdown point estimation; Near epoch dependent process; Nonlinear regression

Indexed keywords


EID: 0347137926     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4076(01)00039-2     Document Type: Article
Times cited : (23)

References (43)
  • 1
    • 84974220425 scopus 로고
    • Laws of large numbers for dependent non-identically distributed random variables
    • Andrews, D.W.K., 1988. Laws of large numbers for dependent non-identically distributed random variables. Econometric Theory 4, 458-467.
    • (1988) Econometric Theory , vol.4 , pp. 458-467
    • Andrews, D.W.K.1
  • 2
    • 0011463197 scopus 로고
    • An empirical process central limit theorem for dependent non-identically distributed random variables
    • Andrews, D.W.K., 1991. An empirical process central limit theorem for dependent non-identically distributed random variables. Journal of Multivariate Analysis 38, 187-203.
    • (1991) Journal of Multivariate Analysis , vol.38 , pp. 187-203
    • Andrews, D.W.K.1
  • 3
    • 84971943390 scopus 로고
    • Generic uniform convergence
    • Andrews, D.W.K., 1992. Generic uniform convergence. Econometric Theory 8, 241-257.
    • (1992) Econometric Theory , vol.8 , pp. 241-257
    • Andrews, D.W.K.1
  • 4
    • 0016061478 scopus 로고
    • The fitting of power series, meaning polynomials, illustrated on band-spectroscopic data
    • with discussions
    • Beaton, A.E., Tukey, J.W., 1974. The fitting of power series, meaning polynomials, illustrated on band-spectroscopic data. Technometrics 16, 147-192 (with discussions.).
    • (1974) Technometrics , vol.16 , pp. 147-192
    • Beaton, A.E.1    Tukey, J.W.2
  • 5
    • 0000157578 scopus 로고
    • Descriptive statistics for nonparametric models III. Dispersion
    • Bickel, P.J., Lehmann, E.L., 1976. Descriptive statistics for nonparametric models III. Dispersion. The Annals of Statistics 4, 1139-1158.
    • (1976) The Annals of Statistics , vol.4 , pp. 1139-1158
    • Bickel, P.J.1    Lehmann, E.L.2
  • 6
    • 0003260532 scopus 로고
    • Descriptive statistics for nonparametric models IV. Spread
    • Reidel, Boston, MA
    • Bickel, P.J., Lehmann, E.L., 1979. Descriptive statistics for nonparametric models IV. Spread. In: Contributions to Statistics. Reidel, Boston, MA, pp. 33-40.
    • (1979) Contributions to Statistics , pp. 33-40
    • Bickel, P.J.1    Lehmann, E.L.2
  • 7
    • 0000350557 scopus 로고
    • The asymptotics of S-estimators in the linear regression model
    • Davies, P.L., 1990. The asymptotics of S-estimators in the linear regression model. The Annals of Statistics 18, 1651-1675.
    • (1990) The Annals of Statistics , vol.18 , pp. 1651-1675
    • Davies, P.L.1
  • 8
    • 0002231562 scopus 로고
    • The notion of breakdown point
    • Bickel, P.J., Doksum, K.A., Hodges, J.L. Jr., (Eds.), Wadsworth International Group, Belmont, CA
    • Donoho, D.L., Huber, P.J., 1983. The notion of breakdown point. In: Bickel, P.J., Doksum, K.A., Hodges, J.L. Jr., (Eds.), A Festschrift for Erich L. Lehmann in Honor of His 65th Birthday, Wadsworth International Group, Belmont, CA, pp. 157-184.
    • (1983) A Festschrift for Erich L. Lehmann in Honor of His 65th Birthday , pp. 157-184
    • Donoho, D.L.1    Huber, P.J.2
  • 9
    • 0039330698 scopus 로고
    • Real analysis: Modern techniques and their applications
    • Wiley, New York
    • Folland, G.B., 1984. Real analysis: modern techniques and their applications. Pure and Applied Mathematics. Wiley, New York.
    • (1984) Pure and Applied Mathematics
    • Folland, G.B.1
  • 12
    • 0001340473 scopus 로고
    • A general qualitative definition of robustness
    • Hampel, F.R., 1971. A general qualitative definition of robustness. Annals of Mathematical Statistics 42, 1887-1896.
    • (1971) Annals of Mathematical Statistics , vol.42 , pp. 1887-1896
    • Hampel, F.R.1
  • 13
    • 0030373966 scopus 로고    scopus 로고
    • Inference when a nuisance parameter is not identified under the null hypothesis
    • Hansen, B.E., 1996. Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64, 413-430.
    • (1996) Econometrica , vol.64 , pp. 413-430
    • Hansen, B.E.1
  • 14
    • 0001475414 scopus 로고
    • A local breakdown property of robust tests in linear regression
    • He, X.M., 1991. A local breakdown property of robust tests in linear regression. Journal of Multivariate Analysis 38, 294-305.
    • (1991) Journal of Multivariate Analysis , vol.38 , pp. 294-305
    • He, X.M.1
  • 15
    • 0004042414 scopus 로고
    • Equilibrium analysis: Variations on themes by Edgeworth and Walras
    • North-Holland, Amsterdam, New York
    • Hildenbrand, W., Kirman, A.P., 1988. Equilibrium analysis: variations on themes by Edgeworth and Walras. Advanced Textbooks in Economics, Vol. 28. North-Holland, Amsterdam, New York.
    • (1988) Advanced Textbooks in Economics , vol.28
    • Hildenbrand, W.1    Kirman, A.P.2
  • 17
    • 0346208326 scopus 로고
    • Adaptive simulated annealing (ASA)
    • McLean, VA, The source code for the ASA algorithm
    • Ingber, L., 1993. Adaptive simulated annealing (ASA). Lester Ingber Research, McLean, VA, (The source code for the ASA algorithm. Available at ftp.alumni.caltech.edu:/pub/ingber.).
    • (1993) Lester Ingber Research
    • Ingber, L.1
  • 18
    • 0000091003 scopus 로고
    • Asymptotic properties of non-linear least squares estimators
    • Jennrich, R.I., 1969. Asymptotic properties of non-linear least squares estimators. Annals of Mathematical Statistics 40, 633-643.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 633-643
    • Jennrich, R.I.1
  • 24
    • 0002709641 scopus 로고
    • Bias- And efficiency-robustness of general M-estimators for regression with random carriers
    • Gasser, T., Rosenblatt, M. (Eds.), Springer, New York
    • Maronna, R.A., Bustos, O.H., Yohai, V.J., 1979. Bias- and efficiency-robustness of general M-estimators for regression with random carriers. In: Gasser, T., Rosenblatt, M. (Eds.), Smoothing Techniques for Curve Estimation. Springer, New York, pp. 91-116.
    • (1979) Smoothing Techniques for Curve Estimation , pp. 91-116
    • Maronna, R.A.1    Bustos, O.H.2    Yohai, V.J.3
  • 25
    • 38249013956 scopus 로고
    • Exactly what is being modeled by the systematic component in a heteroscedastic linear regression?
    • Portnoy, S., Welsh, A.H., 1992. Exactly what is being modeled by the systematic component in a heteroscedastic linear regression?. Statistics and Probability Letters 13, 253-258.
    • (1992) Statistics and Probability Letters , vol.13 , pp. 253-258
    • Portnoy, S.1    Welsh, A.H.2
  • 26
    • 0001057073 scopus 로고
    • Basic structure of the asymptotic theory in dynamic nonlinear econometric models, Part I: Consistency and approximation concepts
    • Pötscher, B.M., Prucha, I.R., 1991. Basic structure of the asymptotic theory in dynamic nonlinear econometric models, Part I: consistency and approximation concepts. Econometric Reviews 10, 125-216.
    • (1991) Econometric Reviews , vol.10 , pp. 125-216
    • Pötscher, B.M.1    Prucha, I.R.2
  • 27
    • 0000843831 scopus 로고
    • Relations between weak and uniform convergence of measures with applications
    • Ranga Rao, R., 1962. Relations between weak and uniform convergence of measures with applications. Annals of Mathematical Statistics 33, 659-680.
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 659-680
    • Ranga Rao, R.1
  • 32
    • 0001512292 scopus 로고
    • Robust regression by means of S-estimators
    • Franke, W.H., Martin, D. (Eds.), Springer, New York
    • Rousseeuw, P.J., Yohai, V.J., 1984. Robust regression by means of S-estimators. In: Franke, W.H., Martin, D. (Eds.), Robust and Nonlinear Time Series Analysis. Springer, New York, pp. 256-272.
    • (1984) Robust and Nonlinear Time Series Analysis , pp. 256-272
    • Rousseeuw, P.J.1    Yohai, V.J.2
  • 33
    • 21844517259 scopus 로고
    • An alternative definition of finite sample breakdown point with applications to regression model estimators
    • Sakata, S., White, H., 1995. An alternative definition of finite sample breakdown point with applications to regression model estimators. Journal of the American Statistical Association 90, 1099-1106.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 1099-1106
    • Sakata, S.1    White, H.2
  • 34
    • 0348099574 scopus 로고    scopus 로고
    • Breakdown point
    • Kotz, S., et al. (Eds.), Wiley, New York
    • Sakata, S., White, H., 1998a. Breakdown point. In: Kotz, S., et al. (Eds.), Encyclopedia of Statistical Sciences Update, Vol. 2. Wiley, New York, pp. 84-89.
    • (1998) Encyclopedia of Statistical Sciences Update , vol.2 , pp. 84-89
    • Sakata, S.1    White, H.2
  • 35
    • 0000897589 scopus 로고    scopus 로고
    • High breakdown point conditional dispersion estimation with application to S&P 500 daily returns volatility
    • Sakata, S., White, H., 1998b. High breakdown point conditional dispersion estimation with application to S&P 500 daily returns volatility. Econometrica 66, 529-567.
    • (1998) Econometrica , vol.66 , pp. 529-567
    • Sakata, S.1    White, H.2
  • 36
    • 0008711132 scopus 로고
    • Some measurability results for extrema of random functions over random sets
    • Stinchcombe, M.B., White, H., 1992. Some measurability results for extrema of random functions over random sets. The Review of Economic Studies 59, 495-512.
    • (1992) The Review of Economic Studies , vol.59 , pp. 495-512
    • Stinchcombe, M.B.1    White, H.2
  • 38
    • 0019220709 scopus 로고
    • Using least squares to approximate unknown regression functions
    • White, H., 1980. Using least squares to approximate unknown regression functions. International Economic Review 21, 149-169.
    • (1980) International Economic Review , vol.21 , pp. 149-169
    • White, H.1
  • 42
    • 84974313169 scopus 로고
    • Some invariance principles and central limit theorems for dependent heterogeneous processes
    • Wooldridge, J.M., White, H., 1988. Some invariance principles and central limit theorems for dependent heterogeneous processes. Econometric Theory 4, 210-230.
    • (1988) Econometric Theory , vol.4 , pp. 210-230
    • Wooldridge, J.M.1    White, H.2
  • 43
    • 84950426631 scopus 로고
    • High breakdown point estimates of regression by means of the minimization of an efficient scale
    • Yohai, V.J., Zamar, R.H., 1988. High breakdown point estimates of regression by means of the minimization of an efficient scale. Journal of the American Statistical Association 83, 406-413.
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 406-413
    • Yohai, V.J.1    Zamar, R.H.2


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