Spanning Trees and bootstrap reliability estimation in correlation based networks

Details Spanning Trees and bootstrap reliability estimation in correlation based networks Spanning Trees and bootstrap reliability estimation in correlation based networks

2006-05-15

arxiv.org/abs/physics/0605116v1

Int. J. Bifurcation Chaos 17 (7), 2319-2329 (2007)

Physics

Physics and Society

17 pages, 3 figures

Scientific paper

10.1142/S0218127407018415

We introduce a new technique to associate a spanning tree to the average linkage cluster analysis. We term this tree as the Average Linkage Minimum Spanning Tree. We also introduce a technique to associate a value of reliability to links of correlation based graphs by using bootstrap replicas of data. Both techniques are applied to the portfolio of the 300 most capitalized stocks traded at New York Stock Exchange during the time period 2001-2003. We show that the Average Linkage Minimum Spanning Tree recognizes economic sectors and sub-sectors as communities in the network slightly better than the Minimum Spanning Tree does. We also show that the average reliability of links in the Minimum Spanning Tree is slightly greater than the average reliability of links in the Average Linkage Minimum Spanning Tree.

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