Estimation of a semiparametric IGARCH (1,1) model

Kim, W. & Linton, O. (2011). Estimation of a semiparametric IGARCH (1,1) model. Econometric Theory, 27(3), 639-661. https://doi.org/10.1017/S0266466610000435
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We propose a semiparametric IGARCH model that allows for persistence in variance but also allows for more flexible functional form. We assume that the difference of the squared process is weakly stationary. We propose an estimation strategy based on the nonparametric instrumental variable method. We establish the rate of convergence of our estimator.

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