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Reprint of: Generalized Autoregressive Conditional Heteroskedasticity

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  • Bollerslev, Tim

Abstract

A natural generalization of the ARCH (Autoregressive Conditional Heteroskedastic) process introduced in Engle (1982) to allow for past conditional variances in the current conditional variance equation is proposed. Stationarity conditions and autocorrelation structure for this new class of parametric models are derived. Maximum likelihood estimation and testing are also considered. Finally an empirical example relating to the uncertainty of the inflation rate is presented.

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  • Bollerslev, Tim, 2023. "Reprint of: Generalized Autoregressive Conditional Heteroskedasticity," Journal of Econometrics, Elsevier, vol. 234(S), pages 25-37.
    • Handle: RePEc:eee:econom:v:234:y:2023:i:s:p:25-37
    DOI: 10.1016/j.jeconom.2023.02.001
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    6. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
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    8. 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.
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    2. Johanna M. Orozco-Castañeda & Sebastián Alzate-Vargas & Danilo Bedoya-Valencia, 2024. "Evaluating Volatility Using an ANFIS Model for Financial Time Series Prediction," Risks, MDPI, vol. 12(10), pages 1-15, September.

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