IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/99316.html
   My bibliography  Save this paper

Nonlinear Models of Convergence

Author

Listed:
  • Gluschenko, Konstantin

Abstract

A sufficient issue in studies of economic development is whether economies (countries, regions of a country, etc.) converge to one another in terms of per capita income. In this paper, nonlinear asymptotically subsiding trends of income gap in a pair of economies model the convergence process. A few specific forms of such trends are proposed: log-exponential trend, exponential trend, and fractional trend. A pair of economies is deemed converging if time series of their income gap is stationary about any of these trends. To test for stationarity, standard unit root tests are applied with non-standard test statistics that are estimated for each kind of the trends.

Suggested Citation

  • Gluschenko, Konstantin, 2020. "Nonlinear Models of Convergence," MPRA Paper 99316, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:99316
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/99316/1/MPRA_paper_99316.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bernard, Andrew B & Durlauf, Steven N, 1995. "Convergence in International Output," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 97-108, April-Jun.
    2. Pierre Perron & Serena Ng, 1996. "Useful Modifications to some Unit Root Tests with Dependent Errors and their Local Asymptotic Properties," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 435-463.
    3. Quah, D., 1990. "Galton'S Fallacy And The Tests Of The Convergence Hypothesis," Working papers 552, Massachusetts Institute of Technology (MIT), Department of Economics.
    4. Danny Quah, 1993. "Galton's Fallacy and Tests of the Convergence Hypothesis (Now published in Scandinavian Journal of Economics 95 (4), 1993, pp.427-443.)," STICERD - Econometrics Paper Series 265, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    5. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    6. S. Nahar & B. Inder, 2002. "Testing convergence in economic growth for OECD countries," Applied Economics, Taylor & Francis Journals, vol. 34(16), pages 2011-2022.
    7. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    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. Vicente German‐Soto & Konstantin Gluschenko, 2023. "Long‐term regional convergence in Mexico: A new look," Review of Development Economics, Wiley Blackwell, vol. 27(2), pages 963-991, May.
    2. German-Soto, Vicente & Gluschenko, Konstantin, 2021. "Long-Run Cross-State Growth Comparison in Mexico," MPRA Paper 109015, University Library of Munich, Germany.

    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. German-Soto, Vicente & Gluschenko, Konstantin, 2021. "Long-Run Cross-State Growth Comparison in Mexico," MPRA Paper 109015, University Library of Munich, Germany.
    2. K. P. Gluschenko, 2023. "Regional Inequality in Russia: Anatomy of Convergence," Regional Research of Russia, Springer, vol. 13(1), pages 1-12, December.
    3. Omid Ranjbar & Tsangyao Chang & Chien-Chiang Lee, 2016. "Income Convergence toward USA: New Evidences for Latin and South American Countries," Iranian Economic Review (IER), Faculty of Economics,University of Tehran.Tehran,Iran, vol. 20(2), pages 141-162, Spring.
    4. Delgado Narro, Augusto Ricardo, 2020. "The Process of Convergence among the Japanese Prefectures: 1955 - 2012," MPRA Paper 100361, University Library of Munich, Germany.
    5. Francisco Delgado & Maria Jose Presno, 2011. "Convergence of fiscal pressure in the EU: a time series approach," Applied Economics, Taylor & Francis Journals, vol. 43(28), pages 4257-4267.
    6. Vicente German‐Soto & Konstantin Gluschenko, 2023. "Long‐term regional convergence in Mexico: A new look," Review of Development Economics, Wiley Blackwell, vol. 27(2), pages 963-991, May.
    7. László KÓNYA, 2023. "Per Capita Income Convergence and Divergence of Selected OECD Countries to and from the US: A Reappraisal for the period 1900-2018," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 23(1), pages 33-56.
    8. Bernd Aumann & Rolf Scheufele, 2010. "Is East Germany catching up? A time series perspective," Post-Communist Economies, Taylor & Francis Journals, vol. 22(2), pages 177-192.
    9. Dell'Anno, Roberto & Caferra, Rocco & Morone, Andrea, 2020. "A “Trojan Horse” in the peer-review process of fee-charging economic journals," Journal of Informetrics, Elsevier, vol. 14(3).
    10. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Stephen K. Pollard, 2019. "Unemployment rate hysteresis and the great recession: exploring the metropolitan evidence," Empirical Economics, Springer, vol. 56(1), pages 61-79, January.
    11. Maria Jesus Herrerias & Vicente Orts, 2011. "The driving forces behind China’s growth," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 19(1), pages 79-124, January.
    12. Omid Ranjbar & Chien-Chiang Lee & Tsangyao Chang & Mei-Ping Chen, 2014. "Income Convergence in African Countries: Evidence from a Stationary Test With Multiple Structural Breaks," South African Journal of Economics, Economic Society of South Africa, vol. 82(3), pages 371-391, September.
    13. Xanthippi Chapsa & Athanasios L. Athanasenas & Nikolaos Tabakis, 2019. "Real Convergence in EU-15: A Comparative Analysis of North versus South Europe," European Research Studies Journal, European Research Studies Journal, vol. 0(3), pages 3-21.
    14. Lucas Wilfried Hahn-De-Castro & Adolfo Meisel-Roca, 2018. "La desigualdad económica entre las regiones de Colombia, 1926-2016," Cuadernos de Historia Económica 47, Banco de la Republica de Colombia.
    15. Bond, Derek & Harrison, Michael J & Hession, Niall & O’Brien, Edward J., 2006. "Some Empirical Observations on the Forward Exchange Rate Anomaly," Research Technical Papers 3/RT/06, Central Bank of Ireland.
    16. Gluschenko, Konstantin, 2017. "The Moscow market in the country’s economic space," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 48, pages 5-21.
    17. Eftychia Tsanana & Constantinos Katrakilidis, 2014. "Do Balkan economies catch up with EU? New evidence from panel unit root analysis," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 41(4), pages 641-662, November.
    18. Ferreira Paulo & Dionísio Andreia, 2016. "GDP growth and convergence determinants in the European Union: a crisp-set analysis," Review of Economic Perspectives, Sciendo, vol. 16(4), pages 279-296, December.
    19. Mentz, Markus & Sebastian, Steffen P., 2003. "Inflation convergence after the introduction of the Euro," CFS Working Paper Series 2003/30, Center for Financial Studies (CFS).
    20. Mikael Linden, 2002. "Trend model testing of growth convergence in 15 OECD countries, 1946-1997," Applied Economics, Taylor & Francis Journals, vol. 34(2), pages 133-142.

    More about this item

    Keywords

    income convergence; time series econometrics; nonlinear time-Series model; unit root;
    All these keywords.

    JEL classification:

    • 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
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    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:pra:mprapa:99316. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.