Volatility models for stylized facts of high‐frequency financial data
نویسندگان
چکیده
This paper introduces novel volatility diffusion models to account for the stylized facts of high-frequency financial data such as clustering, intra-day U-shape, and leverage effect. For example, daily integrated proposed process has a realized GARCH structure with an asymmetric effect on log-returns. To further explain heavy-tailedness data, we assume that log-returns have finite $2b$-th moment $b \in (1,2]$. Then, propose Huber regression estimator which optimal convergence rate $n^{(1-b)/b}$. We also discuss how adjust bias coming from loss show its asymptotic properties.
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ژورنال
عنوان ژورنال: Journal of Time Series Analysis
سال: 2022
ISSN: ['1467-9892', '0143-9782']
DOI: https://doi.org/10.1111/jtsa.12666