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The empirical analysis for fractal features and long-run memory mechanism in petroleum pricing systems

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  • Ling-Yun He
  • Ying Fan
  • Yi-Ming Wei

Abstract

The fractal behaviour for petroleum pricing is investigated in several international systems. Based on the time series of Brent & WTI crude oil and Rotterdam & Singapore Leaded gasoline prices (daily spot), this paper analyses the fractal features in the systems under study by using Rescaled Range analysis (R/S analysis). This paper also estimates the Hurst exponents; thus, long-term memory effects are evaluated by these systems. By tracing the evolutionary tracking of H(τ) vs. τ, three phases are divided by different system dynamic behaviours. Furthermore, V statistical method is used to obtain the lengths of non-periodic cycles of the long-term memory. Finally, this paper presents several conclusions and suggestions.

Suggested Citation

  • Ling-Yun He & Ying Fan & Yi-Ming Wei, 2007. "The empirical analysis for fractal features and long-run memory mechanism in petroleum pricing systems," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 27(4), pages 492-502.
    • Handle: RePEc:ids:ijgeni:v:27:y:2007:i:4:p:492-502
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    Citations

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    Cited by:

    1. He, Ling-Yun & Qian, Wen-Bin, 2012. "A Monte Carlo simulation to the performance of the R/S and V/S methods—Statistical revisit and real world application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3770-3782.
    2. He, Ling-Yun & Chen, Shu-Peng, 2011. "A new approach to quantify power-law cross-correlation and its application to commodity markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3806-3814.
    3. Faheem Aslam & Wahbeeah Mohti & Paulo Ferreira, 2020. "Evidence of Intraday Multifractality in European Stock Markets during the Recent Coronavirus (COVID-19) Outbreak," IJFS, MDPI, vol. 8(2), pages 1-13, May.
    4. Hongtao Chen & Lianghua Chen, 2015. "Multifractal spectrum analysis of Brent crude oil futures prices volatility in intercontinental exchange," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 38(1/2/3), pages 93-108.
    5. He, Ling-Yun & Fan, Ying & Wei, Yi-Ming, 2009. "Impact of speculator's expectations of returns and time scales of investment on crude oil price behaviors," Energy Economics, Elsevier, vol. 31(1), pages 77-84, January.
    6. Di Sanzo, Silvestro, 2018. "A Markov switching long memory model of crude oil price return volatility," Energy Economics, Elsevier, vol. 74(C), pages 351-359.
    7. Chen, Shu-Peng & He, Ling-Yun, 2010. "Multifractal spectrum analysis of nonlinear dynamical mechanisms in China’s agricultural futures markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1434-1444.
    8. Aslam, Faheem & Aziz, Saqib & Nguyen, Duc Khuong & Mughal, Khurrum S. & Khan, Maaz, 2020. "On the efficiency of foreign exchange markets in times of the COVID-19 pandemic," Technological Forecasting and Social Change, Elsevier, vol. 161(C).
    9. Vogl, Markus, 2023. "Hurst exponent dynamics of S&P 500 returns: Implications for market efficiency, long memory, multifractality and financial crises predictability by application of a nonlinear dynamics analysis framewo," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    10. Yue-Jun Zhang & Ting Yao & Zi-Yi Wang, 2015. "The bubble process of international crude oil futures prices: empirical evidence from the STAR model," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 38(1/2/3), pages 109-125.
    11. He, Ling-Yun & Chen, Shu-Peng, 2010. "Are developed and emerging agricultural futures markets multifractal? A comparative perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3828-3836.
    12. He, Ling-Yun & Chen, Shu-Peng, 2010. "Are crude oil markets multifractal? Evidence from MF-DFA and MF-SSA perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3218-3229.
    13. Aslam, Faheem & Memon, Bilal Ahmed & Hunjra, Ahmed Imran & Bouri, Elie, 2023. "The dynamics of market efficiency of major cryptocurrencies," Global Finance Journal, Elsevier, vol. 58(C).
    14. Zhi-Hong Han & Sheng Yang & Mu-Ling Chen & Ling-Yun He, 2015. "Mean spillover effect between crude oil and gasoline markets: an empirical result," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 38(1/2/3), pages 49-68.

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