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Breaking trend, Lagrange multiplier test statistic and the presence of a unit root in the Brazilian gross domestic product

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  • Ana Luisa Abras
  • Braulio Borges
  • Rodrigo Sekkel

Abstract

Standard unit root tests provided mixed evidence on the stochastic behaviour of the Brazilian gross domestic product series. This study uses the minimum Lagrange multiplier statistic suggested by Lee and Strazicich to test for the presence of a unit root with two endogenously determined structural changes. Contrary to previous works utilizing endogenous break points, the authors were not able to reject the null of unit root.

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  • Ana Luisa Abras & Braulio Borges & Rodrigo Sekkel, 2004. "Breaking trend, Lagrange multiplier test statistic and the presence of a unit root in the Brazilian gross domestic product," Applied Economics Letters, Taylor & Francis Journals, vol. 11(6), pages 361-364.
  • Handle: RePEc:taf:apeclt:v:11:y:2004:i:6:p:361-364 DOI: 10.1080/1350485042000228196
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    References listed on IDEAS

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    1. 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.
    2. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    3. Junsoo Lee & Mark C. Strazicich, 2013. "Minimum LM unit root test with one structural break," Economics Bulletin, AccessEcon, vol. 33(4), pages 2483-2492.
    4. 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.
    5. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
    6. John Y. Campbell & N. Gregory Mankiw, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 857-880.
    7. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    8. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    9. 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.
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