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Optimal design of Fourier estimator in the presence of microstructure noise

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  • Wang, Fangfang

Abstract

The Fourier estimator of Malliavin and Mancino depends on both sample size and a so-called cutting frequency. The latter controls the number of Fourier coefficients to be included, and it also determines how the Fourier estimator responds to market microstructure noise. By examining the finite sample properties of the Fourier estimator, an easy-to-implement procedure is developed for the optimal cutting frequency which minimizes the mean squared error in the presence of the microstructure noise, along with a modified Whittle likelihood approach for the estimation of the signal-to-noise ratio.

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  • Wang, Fangfang, 2014. "Optimal design of Fourier estimator in the presence of microstructure noise," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 708-722.
  • Handle: RePEc:eee:csdana:v:76:y:2014:i:c:p:708-722
    DOI: 10.1016/j.csda.2013.08.003
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    Cited by:

    1. Fangfang Wang, 2016. "An Unbiased Measure of Integrated Volatility in the Frequency Domain," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(2), pages 147-164, March.

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