Estimation of a Multiplicative Covariance Structure

Christian Hafner, Oliver Linton and Haihan Tang
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Haihan Tang: Institute for Fiscal Studies

No CWP23/16, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies

Abstract: We consider a Kronecker product structure for large covariance matrices, which has the feature that the number of free parameters increases logarithmically with the dimensions of the matrix. We propose an estimation method of the free parameters based on the log linear property of this structure, and also a Quasi-Likelihood method. We establish the rate of convergence of the estimated parameters when the size of the matrix diverges. We also establish a CLT for our method. We apply the method to portfolio choice for S&P500 daily returns and compare with sample covariance based methods and with the recent Fan et al. (2013) method.

Keywords: Correlation Matrix; Kronecker Product; MTMM; Portfolio Choice (search for similar items in EconPapers)
Date: 2016-05-17
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Working Paper: Estimation of a Multiplicative Covariance Structure (2016)
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