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A Panel CUSUM Test of the Null of Cointegration

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Abstract

This paper proposes a simple residual based panel CUSUM test of the null hypothesis of cointegration. The test has a limiting normal distribution that is free of nuisance parameters, it is robust to heteroskedasticity and it allows for mixtures of cointegrated and spurious alternatives. Our Monte Carlo results suggest that the test has small size distortions and reasonable power. In our empirical application to international R&D spillovers, we present evidence suggesting that total factor productivity is heterogeneously cointegrated with foreign and domestic R&D capital stocks.

Suggested Citation

  • Westerlund, Joakim, 2003. "A Panel CUSUM Test of the Null of Cointegration," Working Papers 2003:15, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2003_015
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    2. Kaddour Hadri & Eiji Kurozumi & Yao Rao, 2015. "Novel panel cointegration tests emending for cross‐section dependence with N fixed," Econometrics Journal, Royal Economic Society, vol. 18(3), pages 363-411, October.
    3. Magda Kandil & Muhammad Shahbaz & Samia Nasreen, 2015. "The interaction between globalization and financial development: new evidence from panel cointegration and causality analysis," Empirical Economics, Springer, vol. 49(4), pages 1317-1339, December.
    4. Tarkan Cavusoglu & Oguzhan Dincer, 2015. "Does decentralization reduce income inequality? Only in rich states," Southern Economic Journal, Southern Economic Association, vol. 82(1), pages 285-306, July.
    5. Joakim Westerlund, 2006. "Testing for Panel Cointegration with Multiple Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(1), pages 101-132, February.
    6. Uwe Hassler & Mehdi Hosseinkouchack, 2016. "Panel Cointegration Testing in the Presence of Linear Time Trends," Econometrics, MDPI, vol. 4(4), pages 1-16, November.
    7. Nabila Asghar & Awais Anwar & Hafeez Ur Rehman & Saba Javed, 2020. "Industrial practices and quality of environment: evidence for Asian economies," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(8), pages 7807-7829, December.
    8. Irina Alina Popescu & Paulo Jorge Reis Mourão, 2024. "Exploring the nexus between national innovation performance and happiness," Humanities and Social Sciences Communications, Palgrave Macmillan, vol. 11(1), pages 1-11, December.
    9. Chor Foon Tang, 2013. "Evidence on Structural Instability in the Japanese Money Demand Function," Margin: The Journal of Applied Economic Research, National Council of Applied Economic Research, vol. 7(3), pages 255-272, August.
    10. Salem Alshihab, 2021. "Macroeconomic Determinants of Stock Market Returns in the Gulf Cooperation Council," International Journal of Economics and Financial Issues, Econjournals, vol. 11(2), pages 56-66.
    11. Roberto Basile & Mauro Costantini & Sergio Destefanis, 2005. "Unit root and cointegration tests for cross-sectionally correlated panels. Estimating regional production functions," CELPE Discussion Papers 94, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    12. Khaled Guesmi & Frédéric Teulon, 2014. "Determinants of Foreign Direct Investments in the South Asian Association for Regional Cooperation," Working Papers 2014-213, Department of Research, Ipag Business School.
    13. Tarkan Cavusoglu & Oguzhan Dincer, 2019. "Schooling and income inequality in the long-run," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 43(3), pages 594-606, July.
    14. Westerlund, Joakim, 2006. "Reducing the size distortions of the panel LM Test for cointegration," Economics Letters, Elsevier, vol. 90(3), pages 384-389, March.
    15. Sevgi SEZER, 2017. "The effects of real exchange rates and income on the trade balance: A second generation panel data analysis for transition economies and Turkey," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(2(611), S), pages 171-186, Summer.
    16. Tarkan Cavusoglu & Oguzhan Dincer, 2015. "Does decentralization reduce income inequality? Only in rich states," Southern Economic Journal, John Wiley & Sons, vol. 82(1), pages 285-306, July.
    17. Song, Chang-Qing & Chang, Chun-Ping & Gong, Qiang, 2021. "Economic growth, corruption, and financial development: Global evidence," Economic Modelling, Elsevier, vol. 94(C), pages 822-830.
    18. Joakim Westerlund & David L. Edgerton, 2008. "A Simple Test for Cointegration in Dependent Panels with Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(5), pages 665-704, October.
    19. Chung, Changwoo & Jin, Taeyoung, 2025. "Revealing the role of institutional quality and geopolitical risk in natural resources curse hypothesis," Resources Policy, Elsevier, vol. 100(C).
    20. Xiaohong Liu, 2023. "Impacts of Environmental Pollution and Digital Economy on the New Energy Industry," Sustainability, MDPI, vol. 15(12), pages 1-15, June.
    21. Sigmund, Michael & Agati, Alessandra, 2025. "Banking in the negative: a vector error correction analysis of bank-specific lending and deposit rates," Working Paper Series 3039, European Central Bank.
    22. Bhuvaneskumar Annamalaisamy & Sivakumar Vepur Jayaraman, 2023. "Renewable energy for sustainable development in Asia‐Pacific region: Do foreign direct investment and regulatory quality matter?," Sustainable Development, John Wiley & Sons, Ltd., vol. 31(1), pages 108-124, February.
    23. Westerlund, Joakim & Edgerton, David L., 2007. "A panel bootstrap cointegration test," Economics Letters, Elsevier, vol. 97(3), pages 185-190, December.
    24. Singh, Tarlok, 2008. "Testing the Saving-Investment correlations in India: An evidence from single-equation and system estimators," Economic Modelling, Elsevier, vol. 25(5), pages 1064-1079, September.
    25. Yosra Saidi & Anis Ochi & Samir Maktouf, 2023. "FDI inflows, economic growth, and governance quality trilogy in developing countries: A panel VAR analysis," Bulletin of Economic Research, Wiley Blackwell, vol. 75(2), pages 426-449, April.

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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