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Generierung schiefer Verteilungen mittels Skalenparametersplittung

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  • Grottke, Martin

Abstract

There are several proposals of adding a skewness parameter into a symmetric distribution. Most of them are combined with a certain distribution. The following working paper will present an universal method of generating an asymmetric distribution. As an application this method is used to make the Generalized-t-distribution skewed - thus producing the Skewed-Generalized-t (SGT-), the SGT2- and the SGT3-distribution. These distributions include several well known distributions like the Normal-, Laplace-, t-, Cauchyand Box-Tiao-distribution. They also allow a higher leptokurtosis, what makes them suitable for the estimation of financial data

Suggested Citation

  • Grottke, Martin, 1999. "Generierung schiefer Verteilungen mittels Skalenparametersplittung," Discussion Papers 30/1999, Friedrich-Alexander University Erlangen-Nuremberg, Chair of Statistics and Econometrics.
  • Handle: RePEc:zbw:faucse:301999
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    1. Panayiotis Theodossiou, 1998. "Financial Data and the Skewed Generalized T Distribution," Management Science, INFORMS, vol. 44(12-Part-1), pages 1650-1661, December.
    2. McDonald, James B., 1989. "Partially adaptive estimation of ARMA time series models," International Journal of Forecasting, Elsevier, vol. 5(2), pages 217-230.
    3. McDonald, James B. & Newey, Whitney K., 1988. "Partially Adaptive Estimation of Regression Models via the Generalized T Distribution," Econometric Theory, Cambridge University Press, vol. 4(03), pages 428-457, December.
    4. Butler, Richard J, et al, 1990. "Robust and Partially Adaptive Estimation of Regression Models," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 321-327, May.
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