IDEAS home Printed from https://ideas.repec.org/a/ayb/jrnerl/75.html
   My bibliography  Save this article

A Fractional ARIMA (ARFIMA) Model in the Analysis of Historical Crude Oil Prices

Author

Listed:
  • Manuel Monge
  • Juan Infante

    (Economics, Universidad Francisco de Vitoria, Spain)

Abstract

We investigate historical data for crude oil prices using autoregressive fractionally integrated moving average (ARFIMA) models to determine whether shocks in the series have transitory or permanent effects. Our best specification is an ARFIMA(2,d,2) with an estimated value of d around 0.4, but its confidence interval is wide and does not allow us to either reject the I(0) or the I(1) hypotheses. This high level of uncertainty may be due to the presence of breaks or non-linear trends in the data.

Suggested Citation

  • Manuel Monge & Juan Infante, 2023. "A Fractional ARIMA (ARFIMA) Model in the Analysis of Historical Crude Oil Prices," Energy RESEARCH LETTERS, Asia-Pacific Applied Economics Association, vol. 4(1), pages 1-3.
  • Handle: RePEc:ayb:jrnerl:75
    DOI: 2023/03/14
    as

    Download full text from publisher

    File URL: https://erl.scholasticahq.com/api/v1/articles/36578-a-fractional-arima-arfima-model-in-the-analysis-of-historical-crude-oil-prices.pdf
    Download Restriction: no

    File URL: https://libkey.io/2023/03/14?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Shin, Yongcheol & Schmidt, Peter, 1992. "The KPSS stationarity test as a unit root test," Economics Letters, Elsevier, vol. 38(4), pages 387-392, April.
    2. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
    3. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    4. Kyongwook Choi & Shawkat Hammoudeh, 2009. "Long Memory in Oil and Refined Products Markets," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 97-116.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lee, Hyung S. & Amsler, Christine, 1997. "Consistency of the KPSS unit root test against fractionally integrated alternative," Economics Letters, Elsevier, vol. 55(2), pages 151-160, August.
    2. Cho, Cheol-Keun & Amsler, Christine & Schmidt, Peter, 2015. "A test of the null of integer integration against the alternative of fractional integration," Journal of Econometrics, Elsevier, vol. 187(1), pages 217-237.
    3. Marmol, Francesc, 1998. "Searching for fractional evidence using combined unit root tests," DES - Working Papers. Statistics and Econometrics. WS 10613, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Ahmed, Muhammad Ashfaq & Nawaz, Nasreen, 2023. "A Sufficient Statistical Test for Dynamic Stability," MPRA Paper 116684, University Library of Munich, Germany.
    5. Matteo Pelagatti & Pranab Sen, 2009. "A robust version of the KPSS test based on ranks," Working Papers 20090701, Università degli Studi di Milano-Bicocca, Dipartimento di Statistica.
    6. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
    7. Guglielmo Caporale & Luis Gil-Alana, 2009. "Multiple shifts and fractional integration in the US and UK unemployment rates," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 33(4), pages 364-375, October.
    8. Andersen, Torben G. & Varneskov, Rasmus T., 2021. "Consistent inference for predictive regressions in persistent economic systems," Journal of Econometrics, Elsevier, vol. 224(1), pages 215-244.
    9. Chen, Yichao & Pun, Chi Seng, 2019. "A bootstrap-based KPSS test for functional time series," Journal of Multivariate Analysis, Elsevier, vol. 174(C).
    10. Kirman Alan & Teyssière Gilles, 2002. "Microeconomic Models for Long Memory in the Volatility of Financial Time Series," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(4), pages 1-23, January.
    11. Nielsen, Morten, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 08-05, Cornell University, Center for Analytic Economics.
    12. Aye, Goodness C. & Gil-Alana, Luis A. & Gupta, Rangan & Wohar, Mark E., 2017. "The efficiency of the art market: Evidence from variance ratio tests, linear and nonlinear fractional integration approaches," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 283-294.
    13. Richard T. Baillie & Dooyeon Cho & Seunghwa Rho, 2023. "Approximating long-memory processes with low-order autoregressions: Implications for modeling realized volatility," Empirical Economics, Springer, vol. 64(6), pages 2911-2937, June.
    14. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana & Robert Mudida, 2015. "Testing the Marshall–Lerner Condition in Kenya," South African Journal of Economics, Economic Society of South Africa, vol. 83(2), pages 253-268, June.
    15. Nielsen, Morten Ørregaard, 2009. "A Powerful Test Of The Autoregressive Unit Root Hypothesis Based On A Tuning Parameter Free Statistic," Econometric Theory, Cambridge University Press, vol. 25(6), pages 1515-1544, December.
    16. Baum, Christopher F. & Barkoulas, John, 2006. "Dynamics of Intra-EMS Interest Rate Linkages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 469-482, March.
    17. Robert A. Connolly & Z. Nuray G‹Ner & Kenneth N. Hightower, 2007. "Evidence on the Extent and Potential Sources of Long Memory in U.S. Treasury Security Returns and Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 689-702, March.
    18. Lin, Boqiang & Ouyang, Xiaoling, 2014. "Electricity demand and conservation potential in the Chinese nonmetallic mineral products industry," Energy Policy, Elsevier, vol. 68(C), pages 243-253.
    19. Guglielmo Caporale & Luis Gil-Alana, 2013. "Long memory in US real output per capita," Empirical Economics, Springer, vol. 44(2), pages 591-611, April.
    20. G. K. Randolph TAN, 2004. "Long Memory in Import and Export Price Inflation and Persistence of Shocks to the Terms of Trade," Econometric Society 2004 Far Eastern Meetings 732, Econometric Society.

    More about this item

    Keywords

    Crude oil prices; Fractional integration; persistence;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ayb:jrnerl:75. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Asia-Pacific Applied Economics Association (email available below). General contact details of provider: https://edirc.repec.org/data/apaeaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.