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Sample Covariance Shrinkage for High Dimensional Dependent Data

Alessio Sancetta

Cambridge Working Papers in Economics from Faculty of Economics, University of Cambridge

Abstract: For high dimensional data sets the sample covariance matrix is usually unbiased but noisy if the sample is not large enough. Shrinking the sample covariance towards a constrained, low dimensional estimator can be used to mitigate the sample variability. By doing so, we introduce bias, but reduce variance. In this paper, we give details on feasible optimal shrinkage allowing for time series dependent observations.

Keywords: Sample Covariance Matrix; Shrinkage; Weak Dependence (search for similar items in EconPapers)
JEL-codes: C13 C14 (search for similar items in EconPapers)
Pages: 25
Date: 2006-05
New Economics Papers: this item is included in nep-ecm
Note: Em
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https://files.econ.cam.ac.uk/repec/cam/pdf/cwpe0637.pdf (application/pdf)

Related works:
Journal Article: Sample covariance shrinkage for high dimensional dependent data (2008) Downloads
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