Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy

Understanding cross-correlation and information flow between stocks is crucial for stock market analysis. However, traditional methods often struggle to capture financial markets’ complex and multifaceted dynamics. This paper presents a robust combination of techniques, integrating three advanced me...

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Main Authors: Wenjuan Zhou, Jingjing Huang, Maofa Wang
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/9/1/14
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author Wenjuan Zhou
Jingjing Huang
Maofa Wang
author_facet Wenjuan Zhou
Jingjing Huang
Maofa Wang
author_sort Wenjuan Zhou
collection DOAJ
description Understanding cross-correlation and information flow between stocks is crucial for stock market analysis. However, traditional methods often struggle to capture financial markets’ complex and multifaceted dynamics. This paper presents a robust combination of techniques, integrating three advanced methods: Multifractal Detrended Cross-Correlation Analysis (MFDCCA), transfer entropy (TE), and complex networks. To address inherent non-stationarity and noise in financial data, we employ Ensemble Empirical Mode Decomposition (EEMD) for preprocessing, which helps reduce noise and handle non-stationary effects. The application and effectiveness of this combination of techniques are demonstrated through examples, uncovering significant multifractal properties and long-range cross correlations among the stocks studied. This combination of techniques also captures the magnitude and direction of information flow between stocks. This holistic analysis provides valuable insights for investors and policymakers, enhancing their understanding of stock market behavior and supporting better-informed portfolio decisions and risk management strategies.
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spelling doaj-art-69d6012134c6401f896f32ce901385a92025-01-24T13:33:22ZengMDPI AGFractal and Fractional2504-31102024-12-01911410.3390/fractalfract9010014Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer EntropyWenjuan Zhou0Jingjing Huang1Maofa Wang2School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaUnderstanding cross-correlation and information flow between stocks is crucial for stock market analysis. However, traditional methods often struggle to capture financial markets’ complex and multifaceted dynamics. This paper presents a robust combination of techniques, integrating three advanced methods: Multifractal Detrended Cross-Correlation Analysis (MFDCCA), transfer entropy (TE), and complex networks. To address inherent non-stationarity and noise in financial data, we employ Ensemble Empirical Mode Decomposition (EEMD) for preprocessing, which helps reduce noise and handle non-stationary effects. The application and effectiveness of this combination of techniques are demonstrated through examples, uncovering significant multifractal properties and long-range cross correlations among the stocks studied. This combination of techniques also captures the magnitude and direction of information flow between stocks. This holistic analysis provides valuable insights for investors and policymakers, enhancing their understanding of stock market behavior and supporting better-informed portfolio decisions and risk management strategies.https://www.mdpi.com/2504-3110/9/1/14multifractal detrended cross-correlation analysistransfer entropycomplex networksensemble empirical mode decomposition
spellingShingle Wenjuan Zhou
Jingjing Huang
Maofa Wang
Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
Fractal and Fractional
multifractal detrended cross-correlation analysis
transfer entropy
complex networks
ensemble empirical mode decomposition
title Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
title_full Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
title_fullStr Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
title_full_unstemmed Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
title_short Multifractal Characteristics and Information Flow Analysis of Stock Markets Based on Multifractal Detrended Cross-Correlation Analysis and Transfer Entropy
title_sort multifractal characteristics and information flow analysis of stock markets based on multifractal detrended cross correlation analysis and transfer entropy
topic multifractal detrended cross-correlation analysis
transfer entropy
complex networks
ensemble empirical mode decomposition
url https://www.mdpi.com/2504-3110/9/1/14
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AT jingjinghuang multifractalcharacteristicsandinformationflowanalysisofstockmarketsbasedonmultifractaldetrendedcrosscorrelationanalysisandtransferentropy
AT maofawang multifractalcharacteristicsandinformationflowanalysisofstockmarketsbasedonmultifractaldetrendedcrosscorrelationanalysisandtransferentropy