Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/149769 
Year of Publication: 
2016
Series/Report no.: 
cemmap working paper No. CWP23/16
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
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
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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