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Robust estimation of structural break points

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  • Fiteni, Inmaculada

Abstract

This paper is concerned with robust estimation of change points in regrt!ssion models, possibly with trending regressors. We obtain the rate of convergence and the asymptotic distribution of M-estimators of the regression coefficients and the change point with serially dependent observations. The asymptotic properties of the estimators are developed assuming that the size of the jump is fixed as well as it shrinks to zero as the sample size increases. In the first case, the asymptotic distribution of the change point estimator is difficult to tabulate. The performance of asymptotic inferences in practice is illustrated by means of Monte Carlo simulations.

Suggested Citation

  • Fiteni, Inmaculada, 1998. "Robust estimation of structural break points," DES - Working Papers. Statistics and Econometrics. WS 10685, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:10685
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    References listed on IDEAS

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    1. Jushan Bai, 1994. "Least Squares Estimation Of A Shift In Linear Processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(5), pages 453-472, September.
    2. Bai, Jushan, 1995. "Least Absolute Deviation Estimation of a Shift," Econometric Theory, Cambridge University Press, vol. 11(3), pages 403-436, June.
    3. Hackl, P & Westlund, A H, 1989. "Statistical Analysis of "Structural Change": An Annotated Bibliography," Empirical Economics, Springer, vol. 14(2), pages 167-192.
    4. Wooldridge, Jeffrey M. & White, Halbert, 1988. "Some Invariance Principles and Central Limit Theorems for Dependent Heterogeneous Processes," Econometric Theory, Cambridge University Press, vol. 4(2), pages 210-230, August.
    5. Bhattacharya, P.K., 1987. "Maximum likelihood estimation of a change-point in the distribution of independent random variables: General multiparameter case," Journal of Multivariate Analysis, Elsevier, vol. 23(2), pages 183-208, December.
    6. Andrews, Donald W.K., 1988. "Laws of Large Numbers for Dependent Non-Identically Distributed Random Variables," Econometric Theory, Cambridge University Press, vol. 4(3), pages 458-467, December.
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    Cited by:

    1. Delgado, Miguel A. & Hidalgo, Javier, 2000. "Nonparametric inference on structural breaks," Journal of Econometrics, Elsevier, vol. 96(1), pages 113-144, May.

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    Keywords

    Structural breaks;

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