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The Observed Asymptotic Variance: Hard edges, and a regression approach

Per A. Mykland and Lan Zhang

Journal of Econometrics, 2021, vol. 222, issue 1, 411-428

Abstract: High frequency financial data has become an essential component of the digital economy, yielding an increasing number of estimators. However, it is hard to reliably assess the uncertainty of such estimators. The Observed Asymptotic Variance (observed AVAR) is a non-parametric estimator for (squared) standard error in high frequency data. The device is related to observed information in likelihood theory, but in this case it is non-parametric and uses the high-frequency data structure. An earlier paper has developed the estimator in the case where edge effects are small to moderate. In practical data, it is often more realistic to assume that edge effects can be large, and this is the problem that we tackle in the current paper. We here find a regression approach to observed AVAR which is highly robust to large edges. This approach covers most high frequency estimators.

Keywords: Asynchronous times; Consistency; Discrete observation; Edge effect; Irregular times; Leverage effect; Microstructure; Observed information; Realized volatility; Robust estimation; Semimartingale; Standard error; Two scales estimation; Volatility of volatility (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:222:y:2021:i:1:p:411-428

DOI: 10.1016/j.jeconom.2020.07.008

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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