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Initial conditions and stationarity tests

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  • Busetti, Fabio

Abstract

It is showed that the magnitude of the initial condition of a highly persistent process affects the properties of stationarity tests applied to the first differences, with a "relatively large" initial condition implying non-negligible oversizing. An empirical illustration is provided.

Suggested Citation

  • Busetti, Fabio, 2009. "Initial conditions and stationarity tests," Economics Letters, Elsevier, vol. 105(3), pages 296-299, December.
    • Handle: RePEc:eee:ecolet:v:105:y:2009:i:3:p:296-299
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    References listed on IDEAS

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    1. Fabio Busetti & Silvia Fabiani & Andrew Harvey, 2006. "Convergence of Prices and Rates of Inflation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 863-877, December.
    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. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, July.
    5. Muller, Ulrich K., 2005. "Size and power of tests of stationarity in highly autocorrelated time series," Journal of Econometrics, Elsevier, vol. 128(2), pages 195-213, October.
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    Cited by:

    1. Nasir, Muhammad Ali & Morgan, Jamie, 2023. "Paradox of stationarity? A policy target dilemma for policymakers," The Quarterly Review of Economics and Finance, Elsevier, vol. 87(C), pages 142-145.

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