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Fluctuation behavior analysis of stochastic exclusion financial dynamics with random jump

Author

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  • Jia, Linlu
  • Ke, Jinchuan
  • Wang, Jun

Abstract

A novel financial price model combining stochastic exclusion system and compound Poisson process with lattice fractal Sierpinski carpet percolation jumps is established to reflect fluctuation behaviors of energy markets. The exclusion system (one of statistical physics systems) is applied in implementing interaction behaviors of traders, and the percolation theory is used to implement gusty jumps of price volatilities. Further, the actual market data and the simulation data are combined to analyze statistical properties and complex characteristics by applying autocorrelation analysis, detrended fluctuation analysis method and fractional fuzzy entropy. Moreover, a new synchronization measurement method named the cross CID FuzzyEn, which is composed of cross-fuzzy entropy and complexity-invariant distance, is firstly proposed in this work. Empirical results show that the analog returns and the actual returns have parallel characteristics and strong synchronicity, which displays that the proposed model is rational and can effectively reflect the internal mechanism of real energy markets to some extent.

Suggested Citation

  • Jia, Linlu & Ke, Jinchuan & Wang, Jun, 2020. "Fluctuation behavior analysis of stochastic exclusion financial dynamics with random jump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    • Handle: RePEc:eee:phsmap:v:542:y:2020:i:c:s0378437119319545
    DOI: 10.1016/j.physa.2019.123503
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    1. Cunado, J. & Perez de Gracia, F., 2005. "Oil prices, economic activity and inflation: evidence for some Asian countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 65-83, February.
    2. H. E. Stanley & V. Plerou, 2001. "Scaling and universality in economics: empirical results and theoretical interpretation," Quantitative Finance, Taylor & Francis Journals, vol. 1(6), pages 563-567.
    3. Bouri, Elie & Shahzad, Syed Jawad Hussain & Raza, Naveed & Roubaud, David, 2018. "Oil volatility and sovereign risk of BRICS," Energy Economics, Elsevier, vol. 70(C), pages 258-269.
    4. Bentes, Sónia R. & Menezes, Rui & Mendes, Diana A., 2008. "Long memory and volatility clustering: Is the empirical evidence consistent across stock markets?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3826-3830.
    5. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    6. Mollaei, Saeid & Darooneh, Amir Hossein & Karimi, Somaye, 2019. "Multi-scale entropy analysis and Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    7. Zhang, Junhuan, 2018. "Influence of individual rationality on continuous double auction markets with networked traders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 353-392.
    8. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    9. Jia, Linlu & Ke, Jinchuan & Wang, Jun, 2019. "Volatility aggregation intensity energy futures series on stochastic finite-range exclusion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 370-383.
    10. Yao Yu & Jun Wang, 2012. "Lattice-oriented percolation system applied to volatility behavior of stock market," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 785-797, August.
    11. Zhao, Shangmei & Chen, Xinyi & Zhang, Junhuan, 2019. "The systemic risk of China’s stock market during the crashes in 2008 and 2015," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 161-177.
    12. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    13. Stosic, Dusan & Stosic, Darko & de Mattos Neto, Paulo S.G. & Stosic, Tatijana, 2019. "Multifractal characterization of Brazilian market sectors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 956-964.
    14. Junhuan Zhang & Peter McBurney & Katarzyna Musial, 2018. "Convergence of trading strategies in continuous double auction markets with boundedly-rational networked traders," Review of Quantitative Finance and Accounting, Springer, vol. 50(1), pages 301-352, January.
    15. Wen Fang & Jun Wang, 2012. "Statistical Properties And Multifractal Behaviors Of Market Returns By Ising Dynamic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 1-14.
    16. Zhang, Xin & Xie, Sheng & Vilela, André L.M. & Stanley, H. Eugene, 2019. "Inter-event time interval analysis of organizational-level activity: Venture capital market case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 346-355.
    17. Di Xiao & Jun Wang & Hongli Niu, 2016. "Volatility Analysis of Financial Agent-Based Market Dynamics from Stochastic Contact System," Computational Economics, Springer;Society for Computational Economics, vol. 48(4), pages 607-625, December.
    18. Stosic, Darko & Stosic, Dusan & Ludermir, Teresa & Stosic, Tatijana, 2016. "Correlations of multiscale entropy in the FX market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 52-61.
    19. Karimi, Somaye & Darooneh, Amir H., 2013. "Measuring persistence in a stationary time series using the complex network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 287-293.
    20. Menezes, Rui & Oliveira, Álvaro & Portela, Sofia, 2019. "Investigating detrended fluctuation analysis with structural breaks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 331-342.
    21. Dastkhan, Hossein & Gharneh, Naser Shams, 2018. "How the ownership structures cause epidemics in financial markets: A network-based simulation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 324-342.
    22. Wang, Wentao & Zhang, Junhuan & Zhao, Shangmei & Zhang, Yanglin, 2019. "Simulation of asset pricing in information networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 620-634.
    23. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2003. "A theory of power-law distributions in financial market fluctuations," Nature, Nature, vol. 423(6937), pages 267-270, May.
    24. Zhang, Xin & Podobnik, Boris & Kenett, Dror Y. & Eugene Stanley, H., 2014. "Systemic risk and causality dynamics of the world international shipping market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 43-53.
    25. Albarracín E., Eva Susana & Gamboa, Juan C. Rodríguez & Marques, Elaine C.M. & Stosic, Tatijana, 2019. "Complexity analysis of Brazilian agriculture and energy market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 933-941.
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