Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise

Markus Rei\ss

Papers from arXiv.org

Abstract: The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam's sense asymptotically equivalent to a Gaussian shift experiment in terms of the square root of the volatility function $\sigma$. As an application, simple rate-optimal estimators of the volatility and efficient estimators of the integrated volatility are constructed.

Date: 2010-01
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-mst
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1001.3006

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