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Moments of standardized Fernandez–Steel skewed distributions: Applications to the estimation of GARCH-type models

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  • Trottier, Denis-Alexandre
  • Ardia, David

Abstract

We provide general expressions for obtaining raw, absolute and conditional moments for a standardized version of the class of skewed distributions proposed by Fernandez and Steel (1998). We show that these expressions are readily programmable in addition of greatly reducing the computational cost. We discuss several applications that are relevant for the purpose of estimating asymmetric conditional volatility models under skewed distributions.

Suggested Citation

  • Trottier, Denis-Alexandre & Ardia, David, 2016. "Moments of standardized Fernandez–Steel skewed distributions: Applications to the estimation of GARCH-type models," Finance Research Letters, Elsevier, vol. 18(C), pages 311-316.
    • Handle: RePEc:eee:finlet:v:18:y:2016:i:c:p:311-316
    DOI: 10.1016/j.frl.2016.05.006
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    Cited by:

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    5. Marius Galabe Sampid & Haslifah M Hasim & Hongsheng Dai, 2018. "Refining value-at-risk estimates using a Bayesian Markov-switching GJR-GARCH copula-EVT model," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-33, June.
    6. Andreas Marcus Gohs, 2022. "The Choice of GARCH Models to Forecast Value-at-Risk for Currencies (Euro Exchange Rates), Crypto Assets (Bitcoin and Ethereum), Gold, Silver and Crude Oil: Automated Processes, Statistical Distributi," MAGKS Papers on Economics 202246, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    7. Trottier, Denis-Alexandre & Lai, Van Son & Godin, Frédéric, 2019. "A characterization of CAT bond performance indices," Finance Research Letters, Elsevier, vol. 28(C), pages 431-437.
    8. Catania, Leopoldo & Grassi, Stefano, 2022. "Forecasting cryptocurrency volatility," International Journal of Forecasting, Elsevier, vol. 38(3), pages 878-894.
    9. Leandro Maciel, 2021. "Cryptocurrencies value‐at‐risk and expected shortfall: Do regime‐switching volatility models improve forecasting?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(3), pages 4840-4855, July.
    10. Denis-Alexandre Trottier & Van Son Lai & Frédéric Godin, 2020. "A Characterization of CAT Bond Performance Indices," Working Papers 2020-008, Department of Research, Ipag Business School.
    11. Ardia, David & Bluteau, Keven & Boudt, Kris & Catania, Leopoldo, 2018. "Forecasting risk with Markov-switching GARCH models:A large-scale performance study," International Journal of Forecasting, Elsevier, vol. 34(4), pages 733-747.
    12. Olofsson, Petter & Råholm, Anna & Uddin, Gazi Salah & Troster, Victor & Kang, Sang Hoon, 2021. "Ethical and unethical investments under extreme market conditions," International Review of Financial Analysis, Elsevier, vol. 78(C).

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