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Anti-correlation and subsector structure in financial systems

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  • X. F. Jiang
  • B. Zheng
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    Abstract

    With the random matrix theory, we study the spatial structure of the Chinese stock market, American stock market and global market indices. After taking into account the signs of the components in the eigenvectors of the cross-correlation matrix, we detect the subsector structure of the financial systems. The positive and negative subsectors are anti-correlated each other in the corresponding eigenmode. The subsector structure is strong in the Chinese stock market, while somewhat weaker in the American stock market and global market indices. Characteristics of the subsector structures in different markets are revealed.

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    File URL: http://arxiv.org/pdf/1201.6418
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1201.6418.

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    Date of creation: Jan 2012
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    Publication status: Published in EPL, 97 (2012) 48006
    Handle: RePEc:arx:papers:1201.6418

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    Web page: http://arxiv.org/

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    Cited by:
    1. Hao Meng & Wen-Jie Xie & Zhi-Qiang Jiang & Boris Podobnik & Wei-Xing Zhou & H. Eugene Stanley, 2013. "Systemic risk and spatiotemporal dynamics of the US housing market," Papers 1306.2831, arXiv.org.
    2. Ouyang, F.Y. & Zheng, B. & Jiang, X.F., 2014. "Spatial and temporal structures of four financial markets in Greater China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 236-244.
    3. Wang, Gang-Jin & Xie, Chi & Chen, Shou & Yang, Jiao-Jiao & Yang, Ming-Yan, 2013. "Random matrix theory analysis of cross-correlations in the US stock market: Evidence from Pearson’s correlation coefficient and detrended cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3715-3730.
    4. F. Y. Ouyang & B. Zheng & X. F. Jiang, 2014. "Spatial and temporal structures of four financial markets in Greater China," Papers 1402.1046, arXiv.org.

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