DYNAMICAL ANALYSES USING VISIBILITIES IN FINANCIAL MARKETS

In this paper, the network metrics are studied in a time series of the KOSPI and the KOSDAQ indices converting by the visibility graph algorithm. The degree distributions for the KOSPI and the KOSDAQ are proportional to a power law rather than the Poisson distribution. Since we mainly simulate and analyze the network metrics from the nodes and its links, our result cannot be found unambiguously to have universal and characteristic properties of statistical quantities via financial networks. Particularly, these topological properties may improve by implementing the statistical method and its technique from altered data of financial networks.

[1]  Yue‐Jun Zhang,et al.  THE MULTI-FREQUENCY CORRELATION BETWEEN EUA AND sCER FUTURES PRICES: EVIDENCE FROM THE EMD APPROACH , 2015 .

[2]  Yue Yang,et al.  Visibility graph approach to exchange rate series , 2009 .

[3]  Emily A. Fogarty,et al.  Visibility network of United States hurricanes , 2009 .

[4]  J. Bouchaud,et al.  Noise Dressing of Financial Correlation Matrices , 1998, cond-mat/9810255.

[5]  EFFECTS OF AN IMPOSED FLOW ON PHASE-SEPARATING BINARY MIXTURES , 2003 .

[6]  V. Plerou,et al.  Random matrix approach to cross correlations in financial data. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Scaling relation for earthquake networks , 2008, 0804.3510.

[8]  Zhi-Qiang Jiang,et al.  Universal and nonuniversal allometric scaling behaviors in the visibility graphs of world stock market indices , 2009, 0910.2524.

[9]  Seong Eun Maeng,et al.  Structural changes in the minimal spanning tree and the hierarchical network in the Korean stock market around the global financial crisis , 2015 .

[10]  J. C. Nuño,et al.  The visibility graph: A new method for estimating the Hurst exponent of fractional Brownian motion , 2009, 0901.0888.

[11]  Yue Yang,et al.  Complex network-based time series analysis , 2008 .

[12]  M E J Newman,et al.  Modularity and community structure in networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Zhongke Gao,et al.  Flow-pattern identification and nonlinear dynamics of gas-liquid two-phase flow in complex networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  S. M. Debbal,et al.  COMPLEMENTARY ANALYSIS TO HEART SOUNDS WHILE USING THE SHORT TIME FOURIER AND THE CONTINUOUS WAVELET TRANSFORMS , 2007 .

[15]  K. Kaski,et al.  Dynamic asset trees and Black Monday , 2002, cond-mat/0212037.

[16]  Mauro Gallegati,et al.  Cyclical Behavior of Prices in the G7 Countries through Wavelet Analysis , 2008, Adv. Complex Syst..

[17]  B. Mandelbrot Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier , 1974, Journal of Fluid Mechanics.

[18]  Ping Li,et al.  Extracting hidden fluctuation patterns of Hang Seng stock index from network topologies , 2007 .

[19]  Jensen,et al.  Erratum: Fractal measures and their singularities: The characterization of strange sets , 1986, Physical review. A, General physics.

[20]  Hawoong Jeong,et al.  Classification of scale-free networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Zhi-Qiang Jiang,et al.  Degree distributions of the visibility graphs mapped from fractional Brownian motions and multifractal random walks , 2008, 0812.2099.

[22]  Michael Small,et al.  Superfamily phenomena and motifs of networks induced from time series , 2008, Proceedings of the National Academy of Sciences.

[23]  V Latora,et al.  Efficient behavior of small-world networks. , 2001, Physical review letters.

[24]  S. Havlin,et al.  Self-similarity of complex networks , 2005, Nature.

[25]  Dong-In Lee,et al.  Multifractal detrended fluctuation analysis of derivative and spot markets , 2007 .

[26]  B. Kahng,et al.  Avoiding a Spanning Cluster in Percolation Models , 2013 .

[27]  M Small,et al.  Complex network from pseudoperiodic time series: topology versus dynamics. , 2006, Physical review letters.

[28]  Norikazu Suzuki,et al.  Complex-network description of seismicity , 2006 .

[29]  Wang Bing-Hong,et al.  An approach to Hang Seng Index in Hong Kong stock market based on network topological statistics , 2006 .

[30]  Thomas Lux,et al.  Multifractality and Long-Range Dependence of Asset returns: the Scaling Behavior of the Markov-Switching Multifractal Model with Lognormal volatility Components , 2008, Adv. Complex Syst..

[31]  J. McCauley Introduction to multifractals in dynamical systems theory and fully developed fluid turbulence , 1990 .

[32]  Critical phenomena in the dynamical visibility graph , 2013, 1302.3265.

[33]  V. Plerou,et al.  Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series , 1999, cond-mat/9902283.

[34]  M E J Newman Assortative mixing in networks. , 2002, Physical review letters.

[35]  Chun-Biu Li,et al.  Multiscale complex network of protein conformational fluctuations in single-molecule time series , 2008, Proceedings of the National Academy of Sciences.

[36]  M. Small,et al.  Characterizing pseudoperiodic time series through the complex network approach , 2008 .

[37]  Muhammad Sahimi,et al.  Mapping stochastic processes onto complex networks , 2009 .

[38]  R. Mantegna Hierarchical structure in financial markets , 1998, cond-mat/9802256.

[39]  Lucas Lacasa,et al.  From time series to complex networks: The visibility graph , 2008, Proceedings of the National Academy of Sciences.