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Estimating Finite Sample Critical Values For Unit Root Tests Using Pure Random Walk Processes:A Note

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  • Yin‐Wong Cheung
  • Kon S. Lai

Abstract

. Finite sample critical values currently available for the augmented Dickey‐Fuller test are commonly obtained via simulations using ARIMA (0, 1, 0) processes. An implicit but critical assumption is that the possible presence of nuisance nonunit roots in general processes does not affect the finite sample size property of the test. The validity of this assumption, though always presumed, has not been verified. This study shows that the use of ARIMA (0, 1, 0) processes for computing the critical values is not so restrictive as it may seem. By estimating empirical size curves as a function of nuisance root parameters, results of Monte Carlo analysis suggest that the empirical test size is not sensitive to nuisance autoregressive (AR) and moving‐average (MA) roots over a wide range of their values, except only when the AR or MA root is near unity. The results support, though not unqualifiedly, the reliability and usefulness of finite sample critical values estimated based on simple ARIMA (0, 1, 0) processes.

Suggested Citation

  • Yin‐Wong Cheung & Kon S. Lai, 1995. "Estimating Finite Sample Critical Values For Unit Root Tests Using Pure Random Walk Processes:A Note," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(5), pages 493-498, September.
    • Handle: RePEc:bla:jtsera:v:16:y:1995:i:5:p:493-498
    DOI: 10.1111/j.1467-9892.1995.tb00249.x
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    References listed on IDEAS

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    1. C. Agiakloglou & P. Newbold, 1992. "Empirical Evidence On Dickey‐Fuller‐Type Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(6), pages 471-483, November.
    2. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    3. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
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    1. Cerra, Valerie & Saxena, Sweta Chaman, 2010. "The monetary model strikes back: Evidence from the world," Journal of International Economics, Elsevier, vol. 81(2), pages 184-196, July.

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