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Residual‐Based Tests For Fractional Cointegration: A Monte Carlo Study

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  • Ingolf Dittmann

Abstract

This paper reports an extensive Monte Carlo study of six residual‐based tests of the hypothesis of no cointegration against the alternative of fractional cointegration. Critical values, power and size are simulated and compared. It turns out that the Lobato–Robinson LM test, the Geweke–Porter‐Hudak test and the two Phillips–Perron tests exhibit severe size distortions. On the other hand, the augmented Dickey–Fuller test and the modified rescaled range test show only moderate size distortions but are generally less powerful. In addition, the impact and possible treatment of trends in the individual series, and in the cointegration equilibrium, are discussed.

Suggested Citation

  • Ingolf Dittmann, 2000. "Residual‐Based Tests For Fractional Cointegration: A Monte Carlo Study," Journal of Time Series Analysis, Wiley Blackwell, vol. 21(6), pages 615-647, November.
  • Handle: RePEc:bla:jtsera:v:21:y:2000:i:6:p:615-647
    DOI: 10.1111/1467-9892.00201
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    Cited by:

    1. Ingolf Dittmann, 2004. "Error Correction Models for Fractionally Cointegrated Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(1), pages 27-32, January.
    2. Saidat Fehintola Olaniran & Oyebayo Ridwan Olaniran & Jeza Allohibi & Abdulmajeed Atiah Alharbi & Mohd Tahir Ismail, 2024. "A Generalized Residual-Based Test for Fractional Cointegration in Panel Data with Fixed Effects," Mathematics, MDPI, vol. 12(8), pages 1-11, April.
    3. Ingolf Dittmann, 2001. "Fractional cointegration of voting and non-voting shares," Applied Financial Economics, Taylor & Francis Journals, vol. 11(3), pages 321-332.
    4. Maria Malmierca-Ordoqui & Luis A. Gil-Alana & Manuel Monge, 2024. "Fractional cointegration between energy imports to the EURO area and exchange rates to the US dollar," Empirical Economics, Springer, vol. 66(2), pages 859-882, February.
    5. Duffy-Deno, Kevin T. & Parsons, Steve G., 2012. "Toll-free numbers: Demand, property rights, and public policy," Telecommunications Policy, Elsevier, vol. 36(4), pages 324-334.

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