Sat, Apr 19, 2014
A A A
Welcome Guest
Free Trial RSS
Get FREE trial access to our award winning publications
New Managers December 2012

Peter Urbani' Statistics - Visualising dependence

Visualising dependence This month we look at the application of http:// en.wikipedia.org/wiki/Graph_(mathematics) graph theory to attempt to better visualise these connections. Our ultimate aim is, as always, to better understand the underlying dynamics and dependencies between assets in order to be able to better diversify our portfolios against the next crisis. In particular, we examine the use of http:// en.wikipedia.org/wiki/Partial_correlation Partial Correlation to help deepen our understanding of the co-relationships that exist and also to help filter out extraneous or spurious correlations. The Partial Correlation Matrix is calculated from the inverse matrix of either the standard Pearson product moment Correlation Matrix or the Variance- Co-Variance Matrix, preferably after ‘robustifying’ it through some or other form of shrinkage towards the global mean. In its univariate form, it can be thought of as the correlation of the residuals of X and Y after subtracting the returns of a third variable Z, from both. A Dependency matrix is then constructed by deducting the Partial Correlation from the Pearson Correlation to help identify those components with the highest level of interaction. It is hoped that the resulting matrix is more representative of the ‘true’ dependencies. The Dependency Matrix is then converted to an adjacency matrix, typically after further threshold filtering, and then to a Directed Adja......................

To view our full article please login

This article was published in Opalesque's New Managers a top-down monthly analysis, news and research publication on the global emerging manager space.
New Managers
New Managers
New Managers

Banner
Today's Exclusives Today's Other Voices More Exclusives
Previous Opalesque Exclusives                                  
More Other Voices
Previous Other Voices                                               
Access Alternative Market Briefing
  • Top Forwarded
  • Top Tracked
  • Top Searched
  1. Opalesque Exclusive: Classic Auto Funds Limited (CAF) launches several car investing funds[more]

    Bailey McCann, Opalesque New York: A new trend in alternative alternatives is emerging - car appreciation funds. Classic Auto Funds Limited (CAF) is the first to market with several funds that make super elite luxury cars into real asset investments. As a result of growing overseas demand couple

  2. Investing – Big hedge funds bought Puerto Rico's junk bonds, Fidelity explores new trading venue amid flash trade concerns, Crisis-era Greek bonds reward early buyers with big effective returns, Cargill unit discloses stake in Freddie preferred[more]

    Big hedge funds bought Puerto Rico's junk bonds From Reuters.com: Several large hedge funds doubled down on Puerto Rico in last month's giant bond sale despite the U.S. territory's financial struggles, the Wall Street Journal reported, citing confidential documents reviewed by the newspa

  3. Opalesque Exclusive: Hedge fund replicators evolve[more]

    Bailey McCann, Opalesque New York: Hedge fund replicators as a group of products tend to get a bad rap from hedge fund managers who suggest that the best a replicator can offer is dynamic beta capture. A

  4. Opalesque Exclusive: Pensions, endowments, family offices reconsider life settlement investments[more]

    Bailey McCann, Opalesque New York: Hedge funds were once the largest investors in the life settlement industry, now the industry is seeing more interest from pensions, endowments and family offices directly. Life settlements have always been considered a niche part of the investing landscape, an

  5. SEC allows investment funds to use social media[more]

    Bailey McCann, Opalesque New York: The Securities and Exchange Commission (SEC) has released new guidance letting investment funds and advisors use social media to promote client reviews. The guidance seeks to assist investment managers in developing compliance policies and procedures reasonably