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arXiv · 2310.02160

The SIML method without microstructure noise

Jirô Akahori·Ryuya Namba·Atsuhito Watanabe
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Abstract

The SIML (abbreviation of Separating Information Maximal Likelihood) method, has been introduced by N. Kunitomo and S. Sato and their collaborators to estimate the integrated volatility of high-frequency data that is assumed to be an It\^o process but with so-called microstructure noise. The SIML estimator turned out to share many properties with the estimator introduced by P. Malliavin and M.E. Mancino. The present paper establishes the consistency and the asymptotic normality under a general sampling scheme but without microstructure noise. Specifically, a fast convergence shown for Malliavin--Mancino estimator by E. Clement and A. Gloter is also established for the SIML estimator.

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Jirô Akahori, Ryuya Namba, Atsuhito Watanabe. 2023-10-03. The SIML method without microstructure noise. https://doi.org/10.1007/s42081-024-00249-y

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