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Response surface estimates of the LM unit root tests

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  • Nazlioglu, Saban
  • Lee, Junsoo

Abstract

This paper provides the response surface function estimates for the LM unit root tests. They can be used effectively to obtain relevant critical values and p-values of the tests with structural changes up to three breaks, different sample sizes, and different lag orders.

Suggested Citation

  • Nazlioglu, Saban & Lee, Junsoo, 2020. "Response surface estimates of the LM unit root tests," Economics Letters, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:ecolet:v:192:y:2020:i:c:s0165176520301099
    DOI: 10.1016/j.econlet.2020.109136
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    References listed on IDEAS

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    5. Junsoo Lee & Mark C. Strazicich, 2013. "Minimum LM unit root test with one structural break," Economics Bulletin, AccessEcon, vol. 33(4), pages 2483-2492.
    6. Leybourne, S J, 1995. "Testing for Unit Roots Using Forward and Reverse Dickey-Fuller Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(4), pages 559-571, November.
    7. Harvey, David I. & van Dijk, Dick, 2006. "Sample size, lag order and critical values of seasonal unit root tests," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2734-2751, June.
    8. Joakim Westerlund & David L. Edgerton, 2007. "New Improved Tests for Cointegration with Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(2), pages 188-224, March.
    9. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(2), pages 359-368, February.
    10. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-464, October.
    11. 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.
    12. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    13. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    14. Junsoo Lee & Mark C. Strazicich, 2003. "Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1082-1089, November.
    15. Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 177-198, March.
    16. Carrion i Silvestre, Josep Lluis & Sanso i Rossello, Andreu & Artis Ortuno, Manuel, 1999. "Response surfaces estimates for the Dickey-Fuller unit root test with structural breaks," Economics Letters, Elsevier, vol. 63(3), pages 279-283, June.
    17. Lee, Junsoo & Tieslau, Margie, 2019. "Panel LM unit root tests with level and trend shifts," Economic Modelling, Elsevier, vol. 80(C), pages 1-10.
    18. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
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    Citations

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    Cited by:

    1. Apostolakis, George N. & Floros, Christos & Giannellis, Nikolaos, 2022. "On bank return and volatility spillovers: Identifying transmitters and receivers during crisis periods," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 156-176.
    2. Kassouri, Yacouba, 2022. "Boom-bust cycles in oil consumption: The role of explosive bubbles and asymmetric adjustments," Energy Economics, Elsevier, vol. 111(C).
    3. James E Payne & Junsoo Lee, 2024. "Global perspective on the permanent or transitory nature of shocks to tourist arrivals: Evidence from new unit root tests with structural breaks and factors," Tourism Economics, , vol. 30(1), pages 67-103, February.
    4. Payne, James E. & Lee, Junsoo & Islam, Md. Towhidul & Nazlioglu, Saban, 2022. "Stochastic convergence of per capita greenhouse gas emissions: New unit root tests with breaks and a factor structure," Energy Economics, Elsevier, vol. 113(C).

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    More about this item

    Keywords

    Unit root tests; Structural break; Lag order; Finite samples; Response surfaces;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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