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Nichtparametrische Schätzung bedingter Quantile in Finanzmarktdaten

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  • Abberger, Klaus

Abstract

In der Literatur wurden verschiedene parametrische Modelle zur Analyse der Heteroskedastie in Zeitreihen von Finanzmarktdaten entwickelt. Eine Möglichkeit, die bedingte Volatilität nichtparametrisch zu erfassen, ist die Kernschätzung von bedingten Quantilen. In diesem Aufsatz werden einige asymptotische Eigenschaften des Kernschätzers präsentiert. Die Anwendung von nichtparametrischen Schätzern setzt die Wahl eines Glättungsparameters voraus. Es wird die Bandweitenwahl mittels Cross-Validation als Lösung diskutiert. Die Prozedur wird zur Schätzung von bedingten Quantilen in der Zeitreihe täglicher DAX-Renditen verwendet.

Suggested Citation

  • Abberger, Klaus, 1994. "Nichtparametrische Schätzung bedingter Quantile in Finanzmarktdaten," Discussion Papers, Series II 225, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    • Handle: RePEc:zbw:kondp2:225
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    References listed on IDEAS

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    1. Bradley, Richard C. & Bryc, Wlodzimierz & Janson, Svante, 1987. "On dominations between measures of dependence," Journal of Multivariate Analysis, Elsevier, vol. 23(2), pages 312-329, December.
    2. Horváth, Lajos & Yandell, Brian S., 1988. "Asymptotics of conditional empirical processes," Journal of Multivariate Analysis, Elsevier, vol. 26(2), pages 184-206, August.
    3. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    4. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    5. Samanta, M., 1989. "Non-parametric estimation of conditional quantiles," Statistics & Probability Letters, Elsevier, vol. 7(5), pages 407-412, April.
    6. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
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    Cited by:

    1. Jürgen Franke & Peter Mwita & Weining Wang, 2015. "Nonparametric estimates for conditional quantiles of time series," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(1), pages 107-130, January.
    2. Abberger, Klaus, 1995. "Kreuzvalidierung in der nichtparametrischen Quantilsregression," Discussion Papers, Series II 254, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    3. Abberger, Klaus, 1995. "Volatility and conditional distribution in financial markets," Discussion Papers, Series II 252, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".

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