2006
DOI: 10.1142/s0129183106008480
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An Attempt to Observe Economy Globalization: The Cross Correlation Distance Evolution of the Top 19 Gdp's

Abstract: Economy correlations between the 19 richest countries are investigated through their Gross Domestic Product increments. A distance is defined between increment correlation matrix elements and their evolution studied as a function of time and time window size. Unidirectional and Bidirectional Minimal Length Paths are generated and analyzed for different time windows. A sort of critical correlation time window is found indicating a transition for best observations. The mean length path decreases with time, indic… Show more

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Cited by 26 publications
(25 citation statements)
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References 13 publications
(2 reference statements)
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“…9 In particular, Onnela et al (2003a,b,c), used MSTs extensively to study the dynamics of cross correlations during market crashes, while many others used clustering techniques based on the MST to discover different sectors in a stock market. 10 At a higher level, the MST have been used to visualize how the interdependences of the European economies are evolving (Gligor and Ausloos, 2007;Gilmore et al, 2008), and how global markets are linked to each other (Miśkiewicz and Ausloos, 2006;Coelho et al, 2007a;Eryigit and Eryigit, 2009). …”
Section: Minimal Spanning Treesmentioning
confidence: 99%
“…9 In particular, Onnela et al (2003a,b,c), used MSTs extensively to study the dynamics of cross correlations during market crashes, while many others used clustering techniques based on the MST to discover different sectors in a stock market. 10 At a higher level, the MST have been used to visualize how the interdependences of the European economies are evolving (Gligor and Ausloos, 2007;Gilmore et al, 2008), and how global markets are linked to each other (Miśkiewicz and Ausloos, 2006;Coelho et al, 2007a;Eryigit and Eryigit, 2009). …”
Section: Minimal Spanning Treesmentioning
confidence: 99%
“…In particular, Onnela et al (2003a,b,c), used MSTs extensively to study the dynamics of cross correlations during market crashes, while many others used clustering techniques based on the MST to discover different sectors in a stock market (Onnela et al, 2004;Bonanno et al, 2004;Boginski et al, 2005;Tumminello et al, 2007;Coelho et al, 2007b;Jung et al, 2008). At a higher level, the MST have been used to visualize how the interdependences of the European economies are evolving (Gligor and Ausloos, 2007;Gilmore et al, 2008), and how global markets are linked to each other (Miśkiewicz and Ausloos, 2006;Coelho et al, 2007a;Eryigit and Eryigit, 2009).…”
Section: Minimal Spanning Treesmentioning
confidence: 99%
“…Consider the nodes to be the first (in time) 15 The yearly fluctuations of these four variables are easily calculated and their auto-and cross-correlation matrices easily obtained; see e.g. a discussion for GDP in [12,13] and more detail elsewhere [14]. Essentially, the correlations can be calculated for a time window of given size moving along the time axis; these are used for getting the statistical distances among countries, e.g.…”
Section: Illustrationmentioning
confidence: 99%