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Exact distribution and critical values of a unit root test in the presence of change in variance

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  • Kazuhiro Ohtani

Abstract

This paper, using the Imhof (1961) method, shows the method of evaluating numerically the exact distribution of a unit root test statistic when the error variance changes. Based on the method, the effect of the change in variance on the exact distribution is examined, and we tabulate numerically exact critical values when the sample size is small and moderate.

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  • Kazuhiro Ohtani, 2004. "Exact distribution and critical values of a unit root test in the presence of change in variance," Applied Economics Letters, Taylor & Francis Journals, vol. 11(14), pages 855-860.
    • Handle: RePEc:taf:apeclt:v:11:y:2004:i:14:p:855-860
    DOI: 10.1080/1350485042000261270
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    References listed on IDEAS

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    1. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
    2. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    3. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    4. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-779, May.
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    Cited by:

    1. Junya Masuda & Kazuhiro Ohtani, 2008. "Exact distribution and critical values of a unit root test when error terms are serially correlated," Applied Economics Letters, Taylor & Francis Journals, vol. 15(5), pages 359-362.

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