Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/149769
Authors: 
Hafner, Christian M.
Linton, Oliver Bruce
Tang, Haihan
Year of Publication: 
2016
Series/Report no.: 
cemmap working paper, Centre for Microdata Methods and Practice CWP23/16
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.
Subjects: 
Correlation Matrix
Kronecker Product
MTMM
Portfolio Choice
Document Type: 
Working Paper

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