Jean-Philippe Bouchaud (Science & Finance, Capital Fund Management) Laurent Laloux (Science & Finance, Capital Fund Management) M. Augusta Miceli Marc Potters (Science & Finance, Capital Fund Management)
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We present a general method to detect and extract from a finite time sample statistically meaningful correlations between input and output variables of large dimensionality. Our central result is derived from the theory of free random matrices, and gives an explicit expression for the interval where singular values are expected in the absence of any true correlations between the variables under study. Our result can be seen as the natural generalization of the Mar?cenko-Pastur distribution for the case of rectangular correlation matrices. We illustrate the interest of our method on a set of macroeconomic time series.
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Sims, Christopher A, 1980.
"Macroeconomics and Reality,"
Econometrica,
Econometric Society, vol. 48(1), pages 1-48, January.
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