IDEAS home Printed from https://ideas.repec.org/p/hit/econdp/2013-12.html
   My bibliography  Save this paper

Novel Panel Cointegration Tests Emending for Cross-Section Dependence with N Fixed

Author

Listed:
  • Hadri, Kaddour
  • Kurozumi, Eiji
  • 黒住, 英司
  • Rao, Yao

Abstract

In this paper, we propose new cointegration tests for single equations and panels. In both cases, the asymptotic distributions of the tests, which are derived with N fixed and T -> infinity, are shown to be standard normals. The effects of serial correlation and cross-sectional dependence are mopped out via long-run variances. An effective bias correction is derived which is shown to work well in finite samples; particularly when N is smaller than T. Our panel tests are robust to possible cointegration across units.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Hadri, Kaddour & Kurozumi, Eiji & 黒住, 英司 & Rao, Yao, 2013. "Novel Panel Cointegration Tests Emending for Cross-Section Dependence with N Fixed," Discussion Papers 2013-12, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2013-12
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/25907/070econDP13-12.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joakim Westerlund, 2008. "Panel cointegration tests of the Fisher effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(2), pages 193-233.
    2. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
    3. 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.
    4. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2004. "Some cautions on the use of panel methods for integrated series of macroeconomic data," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 322-340, December.
    5. Pedroni, Peter, 2004. "Panel Cointegration: Asymptotic And Finite Sample Properties Of Pooled Time Series Tests With An Application To The Ppp Hypothesis," Econometric Theory, Cambridge University Press, vol. 20(3), pages 597-625, June.
    6. Eiji Kurozumi & Yoichi Arai, 2008. "Test for the null hypothesis of cointegration with reduced size distortion," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(3), pages 476-500, May.
    7. Peter C. B. Phillips & Mico Loretan, 1991. "Estimating Long-run Economic Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 407-436.
    8. Westerlund, Joakim & Edgerton, David L., 2007. "A panel bootstrap cointegration test," Economics Letters, Elsevier, vol. 97(3), pages 185-190, December.
    9. Joakim Westerlund, 2005. "A Panel CUSUM Test of the Null of Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 231-262, April.
    10. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    11. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May.
    12. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 247-318.
    13. Peter Pedroni, 1999. "Critical Values for Cointegration Tests in Heterogeneous Panels with Multiple Regressors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 653-670, November.
    14. Christoph Hanck, 2009. "Cross-sectional correlation robust tests for panel cointegration," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(7), pages 817-833.
    15. Suzanne McCoskey & Chihwa Kao, 1998. "A residual-based test of the null of cointegration in panel data," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 57-84.
    16. Harris, David & McCabe, Brendan & Leybourne, Stephen, 2003. "Some Limit Theory For Autocovariances Whose Order Depends On Sample Size," Econometric Theory, Cambridge University Press, vol. 19(5), pages 829-864, October.
    17. Kejriwal, Mohitosh & Perron, Pierre, 2008. "Data Dependent Rules For Selection Of The Number Of Leads And Lags In The Dynamic Ols Cointegrating Regression," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1425-1441, October.
    18. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    19. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
    20. Anindya Banerjee & Martin Wagner, 2009. "Panel Methods to Test for Unit Roots and Cointegration," Palgrave Macmillan Books, in: Terence C. Mills & Kerry Patterson (ed.), Palgrave Handbook of Econometrics, chapter 13, pages 632-726, Palgrave Macmillan.
    21. Harris, David & Leybourne, Stephen & McCabe, Brendan, 2005. "Panel Stationarity Tests for Purchasing Power Parity With Cross-Sectional Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 395-409, October.
    22. repec:bla:buecrs:v:64:y:2012:i::p:s123-s148 is not listed on IDEAS
    23. Larsson, Rolf & Lyhagen, Johan, 2007. "Inference in Panel Cointegration Models With Long Panels," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 473-483, October.
    24. Kaddour Hadri & Rolf Larsson & Yao Rao, 2012. "Testing For Stationarity With A Break In Panels Where The Time Dimension Is Finite," Bulletin of Economic Research, Wiley Blackwell, vol. 64(Supplemen), pages 123-148, December.
    25. repec:bla:obuest:v:61:y:1999:i:0:p:653-70 is not listed on IDEAS
    26. Hayakawa, Kazuhiko & Kurozumi, Eiji, 2008. "The role of “leads” in the dynamic OLS estimation of cointegrating regression models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 555-560.
    27. Choi, In & Kurozumi, Eiji, 2012. "Model selection criteria for the leads-and-lags cointegrating regression," Journal of Econometrics, Elsevier, vol. 169(2), pages 224-238.
    28. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2005. "Testing for PPP: Should we use panel methods?," Empirical Economics, Springer, vol. 30(1), pages 77-91, January.
    29. Christian Gengenbach & Franz C. Palm & Jean‐Pierre Urbain, 2006. "Cointegration Testing in Panels with Common Factors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 683-719, December.
    30. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    31. Groen, Jan J J & Kleibergen, Frank, 2003. "Likelihood-Based Cointegration Analysis in Panels of Vector Error-Correction Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 295-318, April.
    32. Quintos, Carmela E & Phillips, Peter C B, 1993. "Parameter Constancy in Cointegrating Regressions," Empirical Economics, Springer, vol. 18(4), pages 675-706.
    33. Jansson, Michael, 2005. "Point optimal tests of the null hypothesis of cointegration," Journal of Econometrics, Elsevier, vol. 124(1), pages 187-201, January.
    34. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    35. Jushan Bai & Josep Lluís Carrion‐i‐Silvestre, 2013. "Testing panel cointegration with unobservable dynamic common factors that are correlated with the regressors," Econometrics Journal, Royal Economic Society, vol. 16(2), pages 222-249, June.
    36. Rolf Larsson & Johan Lyhagen & Mickael Lothgren, 2001. "Likelihood-based cointegration tests in heterogeneous panels," Econometrics Journal, Royal Economic Society, vol. 4(1), pages 1-41.
    37. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(1), pages 91-115, March.
    38. Chang, Yoosoon & Nguyen, Chi Mai, 2012. "Residual based tests for cointegration in dependent panels," Journal of Econometrics, Elsevier, vol. 167(2), pages 504-520.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hassan B. Ghassan & Zakaria Boulanouar & Kabir M. Hassan, 2021. "Revisiting Banking Stability Using a New Panel Cointegration Test," IJFS, MDPI, vol. 9(2), pages 1-8, April.
    2. Karatetskaya Efrosiniya & Lakshina Valeriya, 2018. "Volatility Spillovers With Spatial Effects On The Oil And Gas Market," HSE Working papers WP BRP 72/FE/2018, National Research University Higher School of Economics.
    3. Jean-François Carpantier, 2021. "Commodity Prices in Empirical Research," Dynamic Modeling and Econometrics in Economics and Finance, in: Gilles Dufrénot & Takashi Matsuki (ed.), Recent Econometric Techniques for Macroeconomic and Financial Data, pages 199-227, Springer.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. In Choi, 2012. "Panel Cointegration," Working Papers 1208, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).
    2. Valérie Mignon & Christophe Hurlin, 2007. "Une synthèse des tests de cointégration sur données de panel," Économie et Prévision, Programme National Persée, vol. 180(4), pages 241-265.
    3. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    4. Anindya Banerjee & Josep Lluís Carrion-i-Silvestre, 2006. "Cointegration in Panel Data with Breaks and Cross-Section Dependence," Economics Working Papers ECO2006/5, European University Institute.
    5. Francesca Iorio & Stefano Fachin, 2014. "Savings and investments in the OECD: a panel cointegration study with a new bootstrap test," Empirical Economics, Springer, vol. 46(4), pages 1271-1300, June.
    6. Jushan Bai & Josep Lluís Carrion‐i‐Silvestre, 2013. "Testing panel cointegration with unobservable dynamic common factors that are correlated with the regressors," Econometrics Journal, Royal Economic Society, vol. 16(2), pages 222-249, June.
    7. Martin Wagner & Jaroslava Hlouskova, 2010. "The Performance of Panel Cointegration Methods: Results from a Large Scale Simulation Study," Econometric Reviews, Taylor & Francis Journals, vol. 29(2), pages 182-223, April.
    8. Pedro M. G. Martins, 2010. "Aid Absorption and Spending in Africa: A Panel Cointegration Approach," Working Paper Series 1010, Department of Economics, University of Sussex Business School.
    9. António Afonso & Christophe Rault, 2010. "What do we really know about fiscal sustainability in the EU? A panel data diagnostic," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(4), pages 731-755, January.
    10. Gabriel Bruneau & Kevin Moran, 2017. "Exchange rate fluctuations and labour market adjustments in Canadian manufacturing industries," Canadian Journal of Economics, Canadian Economics Association, vol. 50(1), pages 72-93, February.
    11. Chang, Yoosoon & Nguyen, Chi Mai, 2012. "Residual based tests for cointegration in dependent panels," Journal of Econometrics, Elsevier, vol. 167(2), pages 504-520.
    12. Badi H. Baltagi & Chihwa Kao, 2000. "Nonstationary Panels, Cointegration in Panels and Dynamic Panels: A Survey," Center for Policy Research Working Papers 16, Center for Policy Research, Maxwell School, Syracuse University.
    13. Felicitas Nowak-Lehmann D. & Inmaculada Mart�nez-Zarzoso & Stephan Klasen & Dierk Herzer, 2009. "Aid and Trade - A Donor's Perspective," Journal of Development Studies, Taylor & Francis Journals, vol. 45(7), pages 1184-1202, August.
    14. Angeliki N. Menegaki, 2019. "The ARDL Method in the Energy-Growth Nexus Field; Best Implementation Strategies," Economies, MDPI, vol. 7(4), pages 1-16, October.
    15. 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.
    16. Matei Demetrescu & Christoph Hanck & Adina I. Tarcolea, 2014. "Iv-Based Cointegration Testing In Dependent Panels With Time-Varying Variance," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(5), pages 393-406, August.
    17. Fantazzini , Dean, 2009. "Econometric Analysis of Financial Data in Risk Management," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 14(2), pages 100-127.
    18. Piotr Kębłowski, 2016. "Canonical Correlation Analysis in Panel Vector Error Correction Model. Performance Comparison," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 8(4), pages 203-217, December.
    19. Bai, Jushan & Carrion-i-Silvestre, Josep Lluis, 2009. "Testing Panel Cointegration with Unobservable Dynamic Common Factors," MPRA Paper 35243, University Library of Munich, Germany.
    20. Hasanov, Fakhri J. & Bulut, Cihan & Suleymanov, Elchin, 2016. "Do population age groups matter in the energy use of the oil-exporting countries?," Economic Modelling, Elsevier, vol. 54(C), pages 82-99.

    More about this item

    Keywords

    cointegration; panel cointegration; cross-section dependence; bias correction; DOLS; FCLT;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hit:econdp:2013-12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/fehitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.