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Multifractality of stock markets based on cumulative distribution function and multiscale multifractal analysis

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  • Lin, Aijing
  • Shang, Pengjian

Abstract

Considering the diverse application of multifractal techniques in natural scientific disciplines, this work underscores the versatility of multiscale multifractal detrended fluctuation analysis (MMA) method to investigate artificial and real-world data sets. The modified MMA method based on cumulative distribution function is proposed with the objective of quantifying the scaling exponent and multifractality of nonstationary time series. It is demonstrated that our approach can provide a more stable and faithful description of multifractal properties in comprehensive range rather than fixing the window length and slide length. Our analyzes based on CDF-MMA method reveal significant differences in the multifractal characteristics in the temporal dynamics between US and Chinese stock markets, suggesting that these two stock markets might be regulated by very different mechanism. The CDF-MMA method is important for evidencing the stable and fine structure of multiscale and multifractal scaling behaviors and can be useful to deepen and broaden our understanding of scaling exponents and multifractal characteristics.

Suggested Citation

  • Lin, Aijing & Shang, Pengjian, 2016. "Multifractality of stock markets based on cumulative distribution function and multiscale multifractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 527-534.
    • Handle: RePEc:eee:phsmap:v:447:y:2016:i:c:p:527-534
    DOI: 10.1016/j.physa.2015.12.012
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    2. Ponomarev, Yuriy (Пономарев, Юрий) & Rey, Aleksey (Рей, Алексей) & Radchenko, Darya (Радченко, Дарья), 2018. "Investigation of the Relationship between the Intensity of International Trade and the Volatility of Paired Exchange Rates of the Russian Federation and its Trading Partners [Исследование Взаимосвя," Working Papers 061823, Russian Presidential Academy of National Economy and Public Administration.

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    Keywords

    CDF; Multiscale; MF-DFA; MMA; Stock market;
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