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Outlining Guidelines For The Application Of The Mf-Dcca In Financial Time Series: Non-Stationary Versus Stationary

Author

Listed:
  • LEONARDO H. S. FERNANDES

    (Department of Economics and Informatics, Federal Rural University of Pernambuco, Serra Talhada, PE 56909-535, Brazil)

  • JOSÉ W. L. SILVA

    (��Federal Institute of Education, Science and Technology of Paraíba, Campus Patos, PB. Acesso Rodovia PB 110, S/N Alto Tubiba – CEP)

  • FERNANDO H. A. DE ARAUJO

    (��Department of Statistics and Informatics, Federal Rural University of Pernambuco, Recife, PE 52171-900, Brazil)

  • PAULO A. M. DOS SANTOS

    (��Department of Statistics and Informatics, Federal Rural University of Pernambuco, Recife, PE 52171-900, Brazil)

  • BENJAMIN MIRANDA TABAK

    (�School of Public Policy and Government, Getulio Vargas Foundation, SGAN 602 Módulos A, B, C, Asa Norte, Brasília, DF 70830-020, Brazil)

Abstract

This paper disrupts mistaken applications of multifractal approaches in financial time series. Specifically, we have examined the nonlinear cross-correlation between the São Paulo time series of the weekly price of ethanol and the other 14 Brazilian capitals’ time series of the weekly price of the same biofuel using the Multifractal Detrended Cross-Correlation Analysis (MF-DCCA). Given the statistical peculiars of stationary and non-stationary financial time series, we suggest two possibilities for employing multifractal approaches to these time series. Our findings shed light and promote alignment between basic time series analysis techniques and multifractal dynamics. Also, we discover that the use of MF-DCCA is highly impacted by choice of time series (stationary or non-stationary).

Suggested Citation

  • Leonardo H. S. Fernandes & Jos㉠W. L. Silva & Fernando H. A. De Araujo & Paulo A. M. Dos Santos & Benjamin Miranda Tabak, 2023. "Outlining Guidelines For The Application Of The Mf-Dcca In Financial Time Series: Non-Stationary Versus Stationary," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-20.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501050
    DOI: 10.1142/S0218348X23501050
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