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Asymptotics for semi-strong augmented GARCH(1,1) model

Oesook Lee and Jooyoung Kim

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 23, 8093-8109

Abstract: In this article, we study a family of so-called semi-strong augmented GARCH(1,1) model where the innovation process is strictly stationary and mixing instead of independent and identically distributed. We give a necessary and sufficient condition for stationarity of the process and study the functional central limit theorems for h(σt2),|ut|δ, and ut when the process is stationary. We also investigate the dynamic behavior of semi-strong GARCH(1,1) model when it is non stationary.

Date: 2022
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DOI: 10.1080/03610926.2021.1887894

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