Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/189785 
Erscheinungsjahr: 
2016
Schriftenreihe/Nr.: 
cemmap working paper No. CWP52/16
Verlag: 
Centre for Microdata Methods and Practice (cemmap), London
Zusammenfassung: 
We propose a Kronecker product structure for large covariance or correlation matrices. One feature of this model is that it scales logarithmically with dimension in the sense that the number of free parameters increases logarithmically with the dimension of the matrix. We propose an estimation method of the parameters based on a log-linear property of the structure, and also a quasi-maximum likelihood estimation (QMLE) method. We establish the rate of convergence of the estimated parameters when the size of the matrix diverges. We also establish a central limit theorem (CLT) for our method. We derive the asymptotic distributions of the estimators of the parameters of the spectral distribution of the Kronecker product correlation matrix, of the extreme logarithmic eigenvalues of this matrix, and of the variance of the minimum variance portfolio formed using this matrix. We also develop tools of inference including a test for over-identification. We apply our methods to portfolio choice for S&P500 daily returns and compare with sample covariance-based methods and with the recent Fan, Liao, and Mincheva (2013) method.
Schlagwörter: 
Correlation Matrix
Kronecker Product
Matrix Logarithm
Multiarray data
Multi-trai Multi method
Portfolio Choice
Sparsity
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Dokumentart: 
Working Paper

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