Bootstrap validation of links of a minimum spanning tree

F. Musciotto, L. Marotta, S. Miccichè and Rosario Mantegna

Physica A: Statistical Mechanics and its Applications, 2018, vol. 512, issue C, 1032-1043

Abstract: We describe two different bootstrap methods applied to the detection of a minimum spanning tree obtained from a set of multivariate variables. We show that two different bootstrap procedures provide partly distinct information that can be informative about the investigated complex system. We investigate two case studies by considering daily returns of two portfolios of stocks traded in the US equity markets in different time periods. The first method performs a “row bootstrap” whereas the second method performs a “pair bootstrap” to obtain a bootstrap replica of each correlation coefficient. We show that the parallel use of the two methods can highlight details about the stability of links selected by the minimum spanning tree associated with the correlation matrix of stock portfolios that can be missed by applying only a single bootstrap methods.

Keywords: Minimum spanning tree; Bootstrap; Planar maximally filtered graph; Information filtering; Proximity based networks; Random matrix theory (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:512:y:2018:i:c:p:1032-1043

DOI: 10.1016/j.physa.2018.08.020

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