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Estimation of nonlinear autoregressive models using design-adapted wavelets

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  • Véronique Delouille
  • Rainer Sachs

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  • Véronique Delouille & Rainer Sachs, 2005. "Estimation of nonlinear autoregressive models using design-adapted wavelets," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(2), pages 235-253, June.
    • Handle: RePEc:spr:aistmt:v:57:y:2005:i:2:p:235-253
    DOI: 10.1007/BF02507024
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    References listed on IDEAS

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    1. Gourieroux, Christian & Monfort, Alain, 1992. "Qualitative threshold ARCH models," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 159-199.
    2. V. Delouille & J. Simoens & R. von Sachs, 2004. "Smooth Design-Adapted Wavelets for Nonparametric Stochastic Regression," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 643-658, January.
    3. Buhlmann, Peter & McNeil, Alexander J., 2002. "An algorithm for nonparametric GARCH modelling," Computational Statistics & Data Analysis, Elsevier, vol. 40(4), pages 665-683, October.
    4. Antoniadis A. & Fan J., 2001. "Regularization of Wavelet Approximations," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 939-967, September.
    5. Hardle, W. & Tsybakov, A., 1997. "Local polynomial estimators of the volatility function in nonparametric autoregression," Journal of Econometrics, Elsevier, vol. 81(1), pages 223-242, November.
    6. Masry, Elias & Tjøstheim, Dag, 1995. "Nonparametric Estimation and Identification of Nonlinear ARCH Time Series Strong Convergence and Asymptotic Normality: Strong Convergence and Asymptotic Normality," Econometric Theory, Cambridge University Press, vol. 11(2), pages 258-289, February.
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    Citations

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    Cited by:

    1. Lihong Wang & Haiyan Cai, 2010. "Wavelet change‐point estimation for long memory non‐parametric random design models," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(2), pages 86-97, March.
    2. S. Valère Bitseki Penda & Adélaïde Olivier, 2017. "Autoregressive functions estimation in nonlinear bifurcating autoregressive models," Statistical Inference for Stochastic Processes, Springer, vol. 20(2), pages 179-210, July.

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