Elsevier, Physica A: Statistical Mechanics and its Applications, 19-20(387), p. 4881-4888, 2008
DOI: 10.1016/j.physa.2008.04.028
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We have performed a detailed multifractal analysis on the 1-min volatility of two indexes and 1139 stocks in the Chinese stock markets based on the partition function approach. The partition function χq(s) scales as a power law with respect to the box size s. The scaling exponents τ(q) form a nonlinear function of q. Statistical tests based on bootstrapping show that the extracted multifractal nature is significant at the 1% significance level. The individual securities can be well modeled by the p-model in turbulence with p=0.40±0.02. Based on the idea of ensemble averaging (including quenched and annealed average), we treat each stock exchange as a whole and confirm the existence of multifractal nature in the Chinese stock markets.