Using random matrix technique we determine an exact relation between the eigenvalue spectrum of the covariance matrix and of its estimator. This relation can be used in practice to compute eigenvalue invariants of the covariance (correlation) matrix. Results can be applied in various problems where
Signal and noise in financial correlation matrices
✍ Scribed by Zdzisław Burda; Jerzy Jurkiewicz
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 198 KB
- Volume
- 344
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
Using Random Matrix Theory one can derive exact relations between the eigenvalue spectrum of the covariance matrix and the eigenvalue spectrum of its estimator (experimentally measured correlation matrix). These relations will be used to analyze a particular case of the correlations in financial series and to show that contrary to earlier claims, correlations can be measured also in the ''random'' part of the spectrum. Implications for the portfolio optimization are briefly discussed.
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