Multidimensional minimal spanning tree: The Dow Jones case

✍ Scribed by Juan Gabriel Brida; Wiston Adrián Risso

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 491 KB
• Volume: 387
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2008.05.009

✦ Synopsis

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.