Complexity of Financial Time Series: Multifractal and Multiscale Entropy Analyses

Fuente: arXiv
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Autori principali: Masoudi, Oday, Shahbazi, Farhad, Sharifi, Mohammad
Natura: Preprint
Pubblicazione: 2025
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author Masoudi, Oday
Shahbazi, Farhad
Sharifi, Mohammad
author_facet Masoudi, Oday
Shahbazi, Farhad
Sharifi, Mohammad
contents We employed Multifractal Detrended Fluctuation Analysis (MF-DFA) and Refined Composite Multiscale Sample Entropy (RCMSE) to investigate the complexity of Bitcoin, GBP/USD, gold, and natural gas price log-return time series. This study provides a comparative analysis of these markets and offers insights into their predictability and associated risks. Each tool presents a unique method to quantify time series complexity. The RCMSE and MF-DFA methods demonstrate a higher complexity for the Bitcoin time series than others. It is discussed that the increased complexity of Bitcoin may be attributable to the presence of higher nonlinear correlations within its log-return time series.
format Preprint
id arxiv_https___arxiv_org_abs_2507_23414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Complexity of Financial Time Series: Multifractal and Multiscale Entropy Analyses
Masoudi, Oday
Shahbazi, Farhad
Sharifi, Mohammad
Statistical Finance
Data Analysis, Statistics and Probability
We employed Multifractal Detrended Fluctuation Analysis (MF-DFA) and Refined Composite Multiscale Sample Entropy (RCMSE) to investigate the complexity of Bitcoin, GBP/USD, gold, and natural gas price log-return time series. This study provides a comparative analysis of these markets and offers insights into their predictability and associated risks. Each tool presents a unique method to quantify time series complexity. The RCMSE and MF-DFA methods demonstrate a higher complexity for the Bitcoin time series than others. It is discussed that the increased complexity of Bitcoin may be attributable to the presence of higher nonlinear correlations within its log-return time series.
title Complexity of Financial Time Series: Multifractal and Multiscale Entropy Analyses
topic Statistical Finance
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2507.23414