Silva Lopes, Artur (2021): Non-convergent incomes with a new DF-Fourier test: most likely you go your way (and I'll go mine).
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Abstract
Motivated by the purpose to assess the income convergence hypothesis, a simple new Fourier-type unit root test of the Dickey-Fuller family is introduced and analysed. In spite of a few shortcomings that it shares with rival tests, the proposed test generally improves upon them in terms of power performance in small samples.
The empirical results that it produces for a recent and updated sample of data for 25 countries clearly contrast with previous evidence produced by the Fourier approach and, more generally, they also contradict a recent wave of optimism concerning income convergence, as they are mostly unfavourable to it. This evidence appears to be particularly robust to the possibility of undetected convergence.\\
Item Type: | MPRA Paper |
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Original Title: | Non-convergent incomes with a new DF-Fourier test: most likely you go your way (and I'll go mine) |
English Title: | Non-convergent incomes with a new DF-Fourier test: most likely you go your way (and I'll go mine) |
Language: | English |
Keywords: | income convergence; unit root tests; structural breaks |
Subjects: | C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F43 - Economic Growth of Open Economies O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O47 - Empirical Studies of Economic Growth ; Aggregate Productivity ; Cross-Country Output Convergence |
Item ID: | 120171 |
Depositing User: | Artur C. B. da Silva Lopes |
Date Deposited: | 21 Feb 2024 10:19 |
Last Modified: | 21 Feb 2024 10:19 |
References: | Becker, R., Enders, W. and Lee, J. (2006). A stationarity test in the presence of an unknown number of smooth breaks, Journal of Time Series Analysis, 27 (3), 381-409. Bernard, A. B. and Durlauf, S. N. (1996). Interpreting tests of the convergence hypothesis, Journal of Econometrics, 71, 161-73. Bolt, J., Inklaar, R., de Jong, H. and van Zanden, J. L. (2018). Rebasing `Maddison': new income comparisons and the shape of long run economic development, CGDC Research Memorandum, University of Groningen. Ceylan, R. and Abiyev, V. (2016). An examination of convergence hypothesis for EU-15 countries, International Review of Economics and Finance, 45, 96-105. Chong, T. T.-L., Hinich, M. J., Liew, V. K.-S. and Lim, K.-P. (2008). Time series tests of nonlinear convergence and transitional dynamics, Economics Letters, 100, 337-339. Christopoulos, D. K. and Leon-Ledesma, M. A. (2011). International output convergence, breaks and asymmetric adjustment, Studies in Nonlinear Dynamics and Econometrics, 15 (3), article 4. Desli, E. and Gkoulgkoutsika, A. (2021). Economic convergence among the world's top-income economies, The Quarterly Review of Economics and Finance, vol. 80, issue C, 841-53. Durlauf, S. N., Johnson, P. A. and Temple, J. R. W. (2005). Growth Econometrics, in Aghion, P. and Durlauf, S. N. (eds.), Handbook of Economic Growth, vol. 1A, Elsevier B. V., 555-677. Elliot, G., Rothenberg, T. J. and Stock, J. H. (1996). Efficient tests for an autoregressive unit root, Econometrica, 64 (4), 813-36. Enders, W. and Lee, J. (2004). Testing for a unit root with a nonlinear Fourier function, working paper. Enders, W. and Lee, J. (2012a). The flexible Fourier form and Dickey-Fuller type unit root tests, Economics Letters, 117, 196-199. Enders, W. and Lee, J. (2012b). A unit root test using a Fourier series to approximate smooth breaks, Oxford Bulletin of Economics and Statistics, 74 (4), 574-599. Franks, J., Barkbu, B., Blavy, R., Oman, W. and Schoelermann, H. (2018). Economic Convergence in the Euro Area: Coming Together or Drifting Apart? IMF working paper 18/10. Fuller, W. A. (1996). Introduction to Statistical Time Series, 2nd. ed., John Wiley & Sons. Greasley, D. and Oxley, L. (1997). Time-series based tests of the convergence hypothesis: some positive results, Economics Letters, 56, 143-47. Harvey, D. I., Leybourne, S. J. and Taylor, A. M. R. (2009). Unit root testing in practice: dealing with uncertainty over the trend and initial condition, Econometric Theory, 25, 587-636. Islam, N. (2003). What have we learnt from the convergence debate?, Journal of Economic Surveys, vol. 17 (3), 309-62. Kapetanios, G., Shin, Y. and Snell, A. (2003). Testing for a unit root in the nonlinear STAR framework, Journal of Econometrics, 112, 359-79. Kiliç, R. (2011). Testing for a unit root in a stationary ESTAR process, Econometric Reviews, 30, 274-302. Kim, D. and Perron, P. (2009). Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses, Journal of Econometrics, 138, 1-13.I King, A., and Ramlogan-Dobson (2014). Are income differences within the OECD diminishing? Evidence from Fourier unit root tests, Studies in Nonlinear Dynamics and Econometrics, 18 (2), 185-199. Johnson, P. and Papageorgiou, C. (2020). What remains of cross-country convergence? The Journal of Economic Literature, 58(1), 129-75. Lanne, M, Lütkepohl, H. and Saikkonen, P. (2003). Test procedures for unit roots in time series with level series at unknown time, Oxford Bulletin of Economics and Statistics,65, 91-115. Lee, J. and Strazicich, M. C. (2001). Break point estimation and spurious rejections with endogenous unit root tests, Oxford Bulletin of Economics and Statistics, 63 (5), 535-58. Leybourne, S. J., Mills, T. C. and Newbold, P. (1998). Spurious rejections by Dickey Fuller tests in the presence of a break under the null, Journal of Econometrics, 87, 191-203. Li, Q. and Papell, D. (1999). Convergence of international output: time series evidence for 16 OECD countries, International Review of Economics and Finance, 8, 267-280. Lopes, A. S. (2016). A simple proposal to improve the power of income convergence tests, Economics Letters, 138, 92-95. Müller, U. K. and Elliot, G. (2003). Tests for unit roots and the initial condition, Econometrica, 71, 1269-86. Nordström, M. (2018). On the use of integer and fractional flexible Fourier form Dickey-Fuller unit root tests, working paper, Lund University. Omay, T. (2015). Fractional frequency flexible Fourier form to approximate smooth breaks in unit root testing, Economics Letters, 134, 123-6. Park, J. Y. and Shintani, M. (2016). Testing for a unit root against transitional autoregressive models, nternational Economic Review, vol. 57 (2), 635-64. Perron, P. (1989). The great crash, the oil price shock and the unit root hypothesis, Econometrica, 57, 1361-1401. Pesaran, M. H. (2007). A pair-wise approach to testing for output and growth convergence, Journal of Econometrics, 138, 312-55. Rodrigues, P. M. M. and Taylor, A. M. R. (2012). The flexible Fourier form and local generalised least squares de-trended unit root tests, Oxford Bulletin of Economics and Statistics, 74 (5), 736-59. Su, J.-J. and Nguyen, J. K. (2013). Alternative unit root testing strategies using the Fourier approximation, Economics Letters, 121, 8-11. Zivot, E. and Andrews, D. W. K. (1992). Further evidence on the great crash, the oil-price shock, and the unit root hypothesis, Journal of Business and Economic Statistics, 10, 251-270. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/120171 |