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Portmanteau test for the asymmetric power GARCH model when the power is unknown

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  • Yacouba Boubacar Maïnassara

    (Université Bourgogne Franche-Comté, Laboratoire de mathématiques de Besançon, UMR CNRS 6623)

  • Othman Kadmiri

    (Université Bourgogne Franche-Comté, Laboratoire de mathématiques de Besançon, UMR CNRS 6623)

  • Bruno Saussereau

    (Université Bourgogne Franche-Comté, Laboratoire de mathématiques de Besançon, UMR CNRS 6623)

Abstract

It is now widely accepted that, to model the dynamics of daily financial returns, volatility models have to incorporate the so-called leverage effect. We derive the asymptotic behaviour of the squared residuals autocovariances for the class of asymmetric power GARCH model when the power is unknown and is jointly estimated with the model’s parameters. We then deduce a portmanteau adequacy test based on the autocovariances of the squared residuals. These asymptotic results are illustrated by Monte Carlo experiments. An application to real financial data is also proposed.

Suggested Citation

  • Yacouba Boubacar Maïnassara & Othman Kadmiri & Bruno Saussereau, 2022. "Portmanteau test for the asymmetric power GARCH model when the power is unknown," Statistical Papers, Springer, vol. 63(3), pages 755-793, June.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:3:d:10.1007_s00362-021-01257-w
    DOI: 10.1007/s00362-021-01257-w
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    References listed on IDEAS

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