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Statistical Properties of Demand Fluctuation in the Financial Market

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  • Kaushik Matia
  • Kazuko Yamasaki

Abstract

We examine the out-of-equilibrium phase reported by Plerou {\it et. al.} in Nature, {\bf 421}, 130 (2003) using the data of the New York stock market (NYSE) between the years 2001 --2002. We find that the observed two phase phenomenon is an artifact of the definition of the control parameter coupled with the nature of the probability distribution function of the share volume. We reproduce the two phase behavior by a simple simulation demonstrating the absence of any collective phenomenon. We further report some interesting statistical regularities of the demand fluctuation of the financial market.

Suggested Citation

  • Kaushik Matia & Kazuko Yamasaki, 2005. "Statistical Properties of Demand Fluctuation in the Financial Market," Papers physics/0502084, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0502084
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    1. Kozłowska, M. & Denys, M. & Wiliński, M. & Link, G. & Gubiec, T. & Werner, T.R. & Kutner, R. & Struzik, Z.R., 2016. "Dynamic bifurcations on financial markets," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 126-142.
    2. Nobi, Ashadun & Maeng, Seong Eun & Ha, Gyeong Gyun & Lee, Jae Woo, 2014. "Effects of global financial crisis on network structure in a local stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 135-143.
    3. Kang, Bo Soo & Park, Chanhi & Ryu, Doojin & Song, Wonho, 2015. "Phase transition phenomenon: A compound measure analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 383-395.
    4. Vasiliki Plerou & Parameswaran Gopikrishnan & H. Eugene Stanley, 2005. "Two phase behaviour and the distribution of volume," Quantitative Finance, Taylor & Francis Journals, vol. 5(6), pages 519-521.
    5. Shanshan Wang & Thomas Guhr, 2017. "Local fluctuations of the signed traded volumes and the dependencies of demands: a copula analysis," Papers 1706.09240, arXiv.org, revised Apr 2018.
    6. Thomas Lux, 2009. "Applications of Statistical Physics in Finance and Economics," Chapters, in: J. Barkley Rosser Jr. (ed.), Handbook of Research on Complexity, chapter 9, Edward Elgar Publishing.
    7. Hwang, Keunho & Kang, Jangkoo & Ryu, Doojin, 2010. "Phase-transition behavior in the emerging market: Evidence from the KOSPI200 futures market," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 35-46, January.

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