Hopefully the new framework may be of interest to this community:
http://ssrn.com/abstract=2436478

Here is the abstract:

It is found that partial correlations between the major US equity ETFs conditioned on the state of economy (mimicked by S&P 500) differ dramatically from their Pearson’s correlations. The mean-variance portfolio theory is reformulated in terms of partial covariance. Performance of various two-asset portfolios formed by the US equity ETFs is analyzed. It is found that on average, the best long-only mean partial covariance portfolios outperformed the best long-only mean covariance portfolios in 2007-2013.

Comments will be greatly appreciated. Also I wonder if there is an R-based software package for portfolio management that allows for easy replacement of Pearson covariances/correlations with their partial values.

Thanks! Alec

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