IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v43y2012i3p1073-1082.html
   My bibliography  Save this article

Is per capita real GDP stationary in five southeastern European countries? Fourier unit root test

Author

Listed:
  • Tsangyao Chang
  • Chia-Hao Lee
  • Pei-I Chou

Abstract

This study uses the newly developed Fourier unit root test advanced by Enders and Lee ( 2004 , 2009 ) to investigate the time-series properties of real GDP (Gross Domestic Product) for five Southeastern European countries for the period from 1969 to 2009. The empirical results from several conventional unit root tests indicate that the per capita real GDP for all of the countries studied are non-stationary; however, when Enders and Lee ( 2004 , 2009 ) Fourier unit root tests are conducted, one rejects the unit root hypothesis of real GDP per capita in all countries under study. These results have important policy implications for these five Southeastern European countries under study. Copyright Springer-Verlag 2012

Suggested Citation

  • Tsangyao Chang & Chia-Hao Lee & Pei-I Chou, 2012. "Is per capita real GDP stationary in five southeastern European countries? Fourier unit root test," Empirical Economics, Springer, vol. 43(3), pages 1073-1082, December.
  • Handle: RePEc:spr:empeco:v:43:y:2012:i:3:p:1073-1082
    DOI: 10.1007/s00181-011-0526-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00181-011-0526-4
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00181-011-0526-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    2. Razvan Pascalau, 2010. "Unit root tests with smooth breaks: an application to the Nelson-Plosser data set," Applied Economics Letters, Taylor & Francis Journals, vol. 17(6), pages 565-570.
    3. Yin-Wong Cheung & Frank Westermann, 2002. "Output dynamics of the G7 countries--stochastic trends and cyclical movements," Applied Economics, Taylor & Francis Journals, vol. 34(18), pages 2239-2247.
    4. Junsoo Lee & Walter Enders, 2004. "Testing for a unit-root with a nonlinear Fourier function," Econometric Society 2004 Far Eastern Meetings 457, Econometric Society.
    5. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
    6. Tsangyao Chang & Wen-Chi Liu & Shu-Chen Kang & Kuei-Chiu Lee, 2008. "Is Per Capita Real GDP Stationary in Latin American Countries? Evidence from a Panel Stationary Test with Structural Breaks," Economics Bulletin, AccessEcon, vol. 3(31), pages 1-12.
    7. Paresh Narayan, 2008. "Is Asian per capita GDP panel stationary?," Empirical Economics, Springer, vol. 34(3), pages 439-449, June.
    8. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    9. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    10. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    11. Robinson Kruse, 2011. "A new unit root test against ESTAR based on a class of modified statistics," Statistical Papers, Springer, vol. 52(1), pages 71-85, February.
    12. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    13. David E. Rapach, 2002. "Are Real GDP Levels Nonstationary? Evidence from Panel Data Tests," Southern Economic Journal, John Wiley & Sons, vol. 68(3), pages 473-495, January.
    14. 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.
    15. Stephen Leybourne & Paul Newbold & Dimitrios Vougas, 1998. "Unit roots and smooth transitions," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(1), pages 83-97, January.
    16. 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.
    17. Chi Keung Marco Lau, 2009. "A more powerful panel unit root test with an application to PPP," Applied Economics Letters, Taylor & Francis Journals, vol. 16(1), pages 75-80.
    18. Cheung, Yin-Wong & Chinn, Menzie David, 1996. "Deterministic, Stochastic, and Segmented Trends in Aggregate Output: A Cross-Country Analysis," Oxford Economic Papers, Oxford University Press, vol. 48(1), pages 134-162, January.
    19. Ludlow, Jorge & Enders, Walter, 2000. "Estimating non-linear ARMA models using Fourier coefficients," International Journal of Forecasting, Elsevier, vol. 16(3), pages 333-347.
    20. 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.
    21. repec:ebl:ecbull:v:3:y:2008:i:31:p:1-12 is not listed on IDEAS
    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. Luis A. Gil-Alana & Sakiru Adebola Solarin & Mehmet Balcilar & Rangan Gupta, 2023. "Productivity and GDP: international evidence of persistence and trends over 130 years of data," Empirical Economics, Springer, vol. 64(3), pages 1219-1246, March.
    2. Phiri, Andrew, 2018. "Robust analysis of convergence in per capita GDP in BRICS economies," MPRA Paper 86936, University Library of Munich, Germany.
    3. Helmut Herwartz & Yabibal M. Walle, 2018. "A powerful wild bootstrap diagnosis of panel unit roots under linear trends and time-varying volatility," Computational Statistics, Springer, vol. 33(1), pages 379-411, March.
    4. Ya-Ling Lin & Wen-Yi Chen & Shwn-Huey Shieh, 2020. "Age Structural Transitions and Copayment Policy Effectiveness: Evidence from Taiwan’s National Health Insurance System," IJERPH, MDPI, vol. 17(12), pages 1-17, June.
    5. Sakiru Solarin & Emmanuel Anoruo, 2015. "Nonlinearity and the Unit Root Hypothesis for African Per Capita Real GDP," International Economic Journal, Taylor & Francis Journals, vol. 29(4), pages 617-630, December.
    6. Omid Ranjbar & Tsangyao Chang & Chien-Chiang Lee & Zahra (Mila) Elmi, 2016. "Reopening the Convergence Debate when Sharp Breaks and Smooth Shifts Wed, 1870-2010," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 20(3), pages 356-377, Summer.

    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. Cheng, Shu-Ching & Wu, Tsung-pao & Lee, Kuei-Chiu & Chang, Tsangyao, 2014. "Flexible Fourier unit root test of unemployment for PIIGS countries," Economic Modelling, Elsevier, vol. 36(C), pages 142-148.
    2. Chang, Tsangyao & Chu, Hsiao-Ping & Ranjbar, Omid, 2014. "Are GDP fluctuations transitory or permanent in African countries? Sequential Panel Selection Method," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 380-399.
    3. Lee, Kuei-Chiu, 2014. "Is per capita real GDP stationary in China? Sequential panel selection method," Economic Modelling, Elsevier, vol. 37(C), pages 507-517.
    4. Liu, Lin & Chang, Hsu-Ling & Su, Chi-Wei & Jiang, Chun, 2013. "Real interest rate parity in East Asian countries based on China with flexible Fourier stationary test," Japan and the World Economy, Elsevier, vol. 25, pages 52-58.
    5. Zheng Ying & Chang-Rui Dong & Hsu-Ling Chang & Chi-Wei Su, 2014. "Are Real GDP Levels Stationary in African Countries?," South African Journal of Economics, Economic Society of South Africa, vol. 82(3), pages 392-401, September.
    6. Chi-Wei Su & Hsu-Ling Chang, 2013. "Is income converging in China?," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 21(2), pages 341-356, April.
    7. Phiri, Andrew, 2018. "Robust analysis of convergence in per capita GDP in BRICS economies," MPRA Paper 86936, University Library of Munich, Germany.
    8. Razvan Pascalau, 2010. "Unit root tests with smooth breaks: an application to the Nelson-Plosser data set," Applied Economics Letters, Taylor & Francis Journals, vol. 17(6), pages 565-570.
    9. Lee, Chia-Hao & Chou, Pei-I, 2013. "The behavior of real exchange rate: Nonlinearity and breaks," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 125-133.
    10. Tie-Ying Liu & Chi-Wei Su & Xu-Zhao Jiang, 2016. "Is China’S Urbanization Convergent?," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 61(05), pages 1-18, December.
    11. Adewuyi, Adeolu O. & Wahab, Bashir A. & Adeboye, Olusegun S., 2020. "Stationarity of prices of precious and industrial metals using recent unit root methods: Implications for markets’ efficiency," Resources Policy, Elsevier, vol. 65(C).
    12. Tolga Omay & Perihan Iren, 2023. "Controlling Heterogeneous Structure of Smooth Breaks in Panel Unit Root and Cointegration Testing," Computational Economics, Springer;Society for Computational Economics, vol. 61(1), pages 233-265, January.
    13. Chen, Shyh-Wei & Hsu, Chi-Sheng, 2016. "Threshold, smooth transition and mean reversion in inflation: New evidence from European countries," Economic Modelling, Elsevier, vol. 53(C), pages 23-36.
    14. Pan, Guochen & Chang, Hsu-Ling & Su, Chi-Wei, 2012. "Regional differences in development of life insurance markets in China," Emerging Markets Review, Elsevier, vol. 13(4), pages 548-558.
    15. Jing-Ping Li & Omid Ranjbar & Tsangyao Chang, 2017. "Unemployment Hysteresis In Piigs Countries: A New Test With Both Sharp And Smooth Breaks," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 62(05), pages 1165-1177, December.
    16. Su, Chi-Wei & Chang, Hsu-Ling & Liu, Lin, 2012. "Real interest rate parity with Flexible Fourier stationary test for Central and Eastern European countries," Economic Modelling, Elsevier, vol. 29(6), pages 2719-2723.
    17. Tolga Omay & Muhammad Shahbaz & Chris Stewart, 2021. "Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(4), pages 875-901, November.
    18. Chang, Tsangyao, 2011. "Hysteresis in unemployment for 17 OECD countries: Stationary test with a Fourier function," Economic Modelling, Elsevier, vol. 28(5), pages 2208-2214, September.
    19. Xie, Zixiong & Chen, Shyh-Wei & Hsieh, Chun-Kuei, 2021. "Facing up to the polysemy of purchasing power parity: New international evidence," Economic Modelling, Elsevier, vol. 98(C), pages 247-265.
    20. Omay, Tolga & Shahbaz, Muhammad & Stewart, Chris, 2021. "Is There Really Hysteresis in OECD Countries’ Unemployment Rates? New Evidence Using a Fourier Panel Unit Root Test," MPRA Paper 107691, University Library of Munich, Germany, revised 10 May 2021.

    More about this item

    Keywords

    Per capita real GDP; Stationary; Fourier unit root test; Southeastern European countries; C22; C23;
    All these keywords.

    JEL classification:

    • 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

    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:spr:empeco:v:43:y:2012:i:3:p:1073-1082. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.