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Construction of Stationarity Tests with Less Size Distortions

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  • Kurozumi, Eiji

Abstract

We propose a (trend) stationarity test with a good finite sample size even when a process is (trend) stationary with strong persistence; this is useful for distinguishing between a (trend) stationary process with strong persistence and a unit root process. It could be considered as a modified version of Leybourne and McCabe's test (1994, LMC), but with adi fferent correction method for serial correlation. A Monte Carlo simulation reveals that in terms of empirical size, our test is closer to the nominal one than the original LMC test and is more powerful than the LMC test with size-adjusted critical values.

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Bibliographic Info

Article provided by Hitotsubashi University in its journal Hitotsubashi Journal of Economics.

Volume (Year): 50 (2009)
Issue (Month): 1 (June)
Pages: 87-105

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Handle: RePEc:hit:hitjec:v:50:y:2009:i:1:p:87-105

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Keywords: LM test; stationary; unit root;

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  1. Rothman, Philip, 1997. "More Uncertainty about the Unit Root in U.S. Real GNP," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 771-780, October.
  2. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
  3. Caner, Mehmet & Kilian, Lutz, 2000. "Size Distortions Of Tests Of The Null Hypothesis Of Stationarity: Evidence And Implications For The PPP Debate," CEPR Discussion Papers 2425, C.E.P.R. Discussion Papers.
  4. Saikkonen, Pentti & Luukkonen, Ritva, 1993. "Point Optimal Tests for Testing the Order of Differencing in ARIMA Models," Econometric Theory, Cambridge University Press, vol. 9(03), pages 343-362, June.
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  6. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
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  15. McCabe, B.P.M. & Leybourne, S.J., 1998. "On Estimating An Arma Model With An Ma Unit Root," Econometric Theory, Cambridge University Press, vol. 14(03), pages 326-338, June.
  16. Jansson, Michael, 2004. "Stationarity Testing With Covariates," Econometric Theory, Cambridge University Press, vol. 20(01), pages 56-94, February.
  17. Sargan, J D & Bhargava, Alok, 1983. "Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors When the Root Lies on the Unit Circle," Econometrica, Econometric Society, vol. 51(3), pages 799-820, May.
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  20. Leybourne, S J & McCabe, B P M, 1999. "Modified Stationarity Tests with Data-Dependent Model-Selection Rules," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(2), pages 264-70, April.
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