A Residual-Based Lm-Type Test Against Fractional Cointegration
AbstractNonstationary integrated time series may be fractionally cointegrated. Here we propose a test for the null hypothesis of no cointegration. It builds on the asymptotically normal Lagrange multiplier (LM) test against fractional alternatives applied to single equation residuals. It is shown that the LM test applied naively to residuals from a static level regression does not retain asymptotic normality. However, when the LM statistic is employed with residuals from a regression of differenced variables, then the test statistic is shown to have a standard normal limiting distribution. Monte Carlo experiments establish its relevance in finite samples.We thank Norbert Christopeit and three anonymous referees for corrections and very valuable comments.
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Bibliographic InfoArticle provided by Cambridge University Press in its journal Econometric Theory.
Volume (Year): 22 (2006)
Issue (Month): 06 (December)
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- Uwe Hassler & Paulo M.M. Rodrigues & Antonio Rubia, 2012. "Quantile regression for long memory testing: A case of realized volatility," Working Papers w201207, Banco de Portugal, Economics and Research Department.
- Katsumi Shimotsu & Morten Ørregaard Nielsen, 2006.
"Determining the Cointegrating Rank in Nonstationary Fractional Systems by the Exact Local Whittle Approach,"
1029, Queen's University, Department of Economics.
- Nielsen, Morten Orregaard & Shimotsu, Katsumi, 2007. "Determining the cointegrating rank in nonstationary fractional systems by the exact local Whittle approach," Journal of Econometrics, Elsevier, vol. 141(2), pages 574-596, December.
- Avarucci, Marco & Velasco, Carlos, 2008.
"A Wald Test for the Cointegration Rank in Nonstationary Fractional Systems,"
049, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Avarucci, Marco & Velasco, Carlos, 2009. "A Wald test for the cointegration rank in nonstationary fractional systems," Journal of Econometrics, Elsevier, vol. 151(2), pages 178-189, August.
- Uwe Hassler & Matei Demetrescu & Adina Tarcolea, 2011. "Asymptotic normal tests for integration in panels with cross-dependent units," AStA Advances in Statistical Analysis, Springer, vol. 95(2), pages 187-204, June.
- Katarzyna Lasak, 2008.
"Likelihood based testing for no fractional cointegration,"
CREATES Research Papers
2008-52, School of Economics and Management, University of Aarhus.
- Lasak, Katarzyna, 2010. "Likelihood based testing for no fractional cointegration," Journal of Econometrics, Elsevier, vol. 158(1), pages 67-77, September.
- Hassler, Uwe & Meller, Barbara, 2011.
"Detecting multiple breaks in long memory: The case of US inflation,"
Discussion Paper Series 1: Economic Studies
2011,26, Deutsche Bundesbank, Research Centre.
- Uwe Hassler & Barbara Meller, 2014. "Detecting multiple breaks in long memory the case of U.S. inflation," Empirical Economics, Springer, vol. 46(2), pages 653-680, March.
- Luis F. Martins & Paulo M.M. Rodrigues, 2010.
"Testing for Persistence Change in Fractionally Integrated Models: An Application to World Inflation Rates,"
w201030, Banco de Portugal, Economics and Research Department.
- Martins, Luis F. & Rodrigues, Paulo M.M., 2014. "Testing for persistence change in fractionally integrated models: An application to world inflation rates," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 502-522.
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