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Integer‐valued asymmetric garch modeling

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  • Xiaofei Hu
  • Beth Andrews

Abstract

We propose a GARCH model for uncorrelated, integer‐valued time series that exhibit conditional heteroskedasticity. Conditioned on past information, these observations have a two‐sided Poisson distribution with time‐varying variance. Positive and negative observations can have an asymmetric impact on conditional variance. We give conditions under which the proposed integer‐valued GARCH process is stationary, ergodic, and has finite moments. We consider maximum likelihood estimation for model parameters, and we give the limiting distribution for these estimators when the true parameter vector is in the interior of its parameter space, and when some GARCH coefficients are zero.

Suggested Citation

  • Xiaofei Hu & Beth Andrews, 2021. "Integer‐valued asymmetric garch modeling," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(5-6), pages 737-751, September.
    • Handle: RePEc:bla:jtsera:v:42:y:2021:i:5-6:p:737-751
    DOI: 10.1111/jtsa.12605
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Rui, 2024. "Asymmetric beta-binomial GARCH models for time series with bounded support," Applied Mathematics and Computation, Elsevier, vol. 470(C).

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