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Correlation networks among currencies

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TLDR
In this paper, a hierarchical taxonomy of currencies constructing minimal-spanning trees is derived by analyzing the foreign exchange market data of various currencies, and the key currencies in each cluster are found.
Abstract
By analyzing the foreign exchange market data of various currencies, we derive a hierarchical taxonomy of currencies constructing minimal-spanning trees. Clustered structure of the currencies and the key currency in each cluster are found. The clusters match nicely with the geographical regions of corresponding countries in the world such as Asia or East Europe, the key currencies are generally given by major economic countries as expected.

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DCCA cross-correlation coefficient: Quantifying level of cross-correlation

TL;DR: In this paper, a new coefficient is proposed with the objective of quantifying the level of cross-correlation between nonstationary time series, which is defined in terms of the DFA method and the DCCA method.
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Physical approach to complex systems

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Quantifying cross-correlations using local and global detrending approaches

TL;DR: It is found that periodic trends can severely affect the quantitative analysis of long-range correlations, leading to crossovers and other spurious deviations from power laws, implying both local and global detrending approaches should be applied to properly uncoverLong-range power-law auto-correlations and cross-cor Relations in the random part of the underlying stochastic process.
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Time-lag cross-correlations in collective phenomena

TL;DR: Long-range magnitude cross-correlations in collective modes of real-world data from finance, physiology, and genomics using time-lag random matrix theory are found, indicating scale-invariant interactions between different physiological time series.
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Worldwide spreading of economic crisis

TL;DR: In this article, the spreading of a crisis is modeled by constructing a global economic network and applying the susceptible-infected-recovered (SIR) epidemic model with a variable probability of infection.
References
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Book

Introduction to Graph Theory

TL;DR: In this article, the authors introduce the concept of graph coloring and propose a graph coloring algorithm based on the Eulers formula for k-chromatic graphs, which can be seen as a special case of the graph coloring problem.
Book

Introduction to Econophysics: Correlations and Complexity in Finance

TL;DR: Economists and workers in the financial world will find useful the presentation of empirical analysis methods and well-formulated theoretical tools that might help describe systems composed of a huge number of interacting subsystems.
Journal ArticleDOI

Hierarchical structure in financial markets

TL;DR: A hierarchical arrangement of stocks traded in a financial market is found by investigating the daily time series of the logarithm of stock price and the hierarchical tree of the subdominant ultrametric space associated with the graph provides a meaningful economic taxonomy.
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