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Abstract Details

Activity Number: 133
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Business and Economic Statistics Section
Abstract - #306852
Title: Regularized Realized Covariance Estimator Under Market Microstructure Noise
Author(s): Changgee Chang*+
Companies: The University of Chicago
Address: 5734 S. University Ave, Chicago, IL, 60637, United States
Keywords:
Abstract:

We propose a new realized covariance matrix estimator for multivariate high frequency data that deals with the market microstructure noise. The realized kernel method is cleverly extended to accomodate the multivariate asynchronously observed data. Our estimator does not artificially sychoronize the data and uses all data to achieve efficiency. The extension is so natural that the estimator does not rely on changing the time scale and allows random sampling intervals. We show that our estimator achieves the optimal rate of convergence(n^{1/4}) under iid noise assumption. We also discuss how the estimator can be regularized to ensure positive-definiteness.


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