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Multidimensional minimal spanning tree: The Dow Jones case

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  • Brida, Juan Gabriel
  • Risso, Wiston Adrián

Abstract

This paper introduces a new methodology in order to construct Minimal Spanning Trees (MST) and Hierarchical Trees (HT) using the information provided by more than one variable. In fact, the Symbolic Time Series Analysis (STSA) approach is applied to the Dow Jones companies using information not only from asset returns but also for trading volume. The US stock market structure is obtained, showing eight clusters of companies and General Electric as a central node in the tree. We use different partitions showing that the results do not depend on the particular partition. In addition, we apply Monte Carlo simulations suggesting that the tree is not the result of random connections.

Suggested Citation

  • Brida, Juan Gabriel & Risso, Wiston Adrián, 2008. "Multidimensional minimal spanning tree: The Dow Jones case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5205-5210.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5205-5210
    DOI: 10.1016/j.physa.2008.05.009
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    References listed on IDEAS

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