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Estimation and Testing for Fractional Cointegration

Estimation of bivariate fractionally cointegrated models usually operates in two steps: the first step is to estimate the long run coefficient (\beta) whereas the second step estimates the long memory parameter (d) of the cointegrating residuals. We suggest an adaptation of the maximum likelihood estimator of Hualde and Robinson (2007) to estimate jointly \beta and d, and possibly other nuisance parameters, for a wide range of integration orders when regressors are I(1). The finite sample properties of this estimator are compared with various popular estimation methods of parameters \beta (LSE, ADL, DOLS, FMLS, GLS, MLE, NBLS, FMNBLS), and d (LPE,LWE,LPM,FML) through a Monte Carlo experiment. We also investigate the crucial question of testing for fractional cointegration (that is, d

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Paper provided by Aix-Marseille School of Economics, Marseille, France in its series AMSE Working Papers with number 1215.

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Length: 30 pages
Date of creation: 05 Jun 2012
Date of revision:
Handle: RePEc:aim:wpaimx:1215
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  1. Katarzyna Lasak, 2008. "Maximum likelihood estimation of fractionally cointegrated systems," CREATES Research Papers 2008-53, School of Economics and Management, University of Aarhus.
  2. Duffy, John & Papageorgiou, Chris, 2000. " A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
  3. Stephen Turnovsky, 2002. "The Transitional Dynamics of Fiscal Policy: Long-run Capital Accumulation and Growth," Working Papers UWEC-2002-22-P, University of Washington, Department of Economics.
  4. Chatterjee, S. & Ravikumar, B., 1997. "Minimum Consumption Requirements: Theoretical and Quantitative Implications for Growth and Distribution," Working Papers 97-15, University of Iowa, Department of Economics.
  5. Juan Mora & Lilia Maliar & Serguei Maliar, 2003. "Income And Wealth Distributions Along The Business Cycle: Implications From The Neoclassical Growth Model," Working Papers. Serie AD 2003-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Caporale, Guglielmo Maria & Gil-Alaña, Luis A., 2000. "Unemployment and input prices: A fractional cointegration approach," SFB 373 Discussion Papers 2001,56, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. P. S. Sephton, 2002. "Fractional cointegration: Monte Carlo estimates of critical values, with an application," Applied Financial Economics, Taylor & Francis Journals, vol. 12(5), pages 331-335.
  8. Kirill Borissov & Stéphane Lambrecht, 2009. "Growth and distribution in an AK-model with endogenous impatience," Economic Theory, Springer, vol. 39(1), pages 93-112, April.
  9. Stiglitz, Joseph E, 1969. "Distribution of Income and Wealth among Individuals," Econometrica, Econometric Society, vol. 37(3), pages 382-97, July.
  10. Morten Ørregaard Nielsen & Per Frederiksen, 2010. "Fully Modified Narrow-Band Least Squares Estimation of Weak Fractional Cointegration," CREATES Research Papers 2010-31, School of Economics and Management, University of Aarhus.
  11. Stefano Bosi & Raouf Boucekkine & Thomas Seegmuller, 2010. "The dynamics of wealth inequality under endogenous fertility: A remark on the Barro-Becker model with heterogenous endowments," Working Papers halshs-00503195, HAL.
  12. Javier Hualde & A Robinson, 2006. "Root-N-Consistent Estimation Of Weakfractional Cointegration," STICERD - Econometrics Paper Series /06/499, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  13. Sorger, Gerhard, 2002. "On the Long-Run Distribution of Capital in the Ramsey Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 226-243, July.
  14. Javier Hidalgo & Peter M. Robinson, 2002. "Adapting to Unknown Disturbance Autocorrelation in Regression with Long Memory," Econometrica, Econometric Society, vol. 70(4), pages 1545-1581, July.
  15. Caporale, Guglielmo Maria & Gil-Alaña, Luis A., 2000. "Fractional cointegration and tests of present value models," SFB 373 Discussion Papers 2000,15, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  16. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  17. Morten Oerregaard Nielsen, . "Optimal Residual Based Tests for Fractional Cointegration and Exchange Rate Dynamics," Economics Working Papers 2002-7, School of Economics and Management, University of Aarhus.
  18. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
  19. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
  20. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-28, August.
  21. Tanaka, Katsuto, 1999. "The Nonstationary Fractional Unit Root," Econometric Theory, Cambridge University Press, vol. 15(04), pages 549-582, August.
  22. Douglas Holtz-Eakin & David Joulfaian & Harvey S. Rosen, 1992. "The Carnegie Conjecture: Some Empirical Evidence," NBER Working Papers 4118, National Bureau of Economic Research, Inc.
  23. Ing-Haw Cheng & Eric French, 2000. "The effect of the run-up in the stock market on labor supply," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q IV, pages 48-65.
  24. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
  25. Marinucci, D. & Robinson, P. M., 2001. "Semiparametric fractional cointegration analysis," Journal of Econometrics, Elsevier, vol. 105(1), pages 225-247, November.
  26. repec:ner:carlos:info:hdl:10016/258 is not listed on IDEAS
  27. Caselli, G & Ventura, J, 1996. "A Representative Consumer Theory of Distribution," Papers 534, Harvard - Institute for International Development.
  28. Baillie, Richard T & Bollerslev, Tim, 1994. " Cointegration, Fractional Cointegration, and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 737-45, June.
  29. Kenneth L. Judd, 1982. "Redistributive Taxation in a Simple Perfect Foresight Model," Discussion Papers 572, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  30. Alvarez-Pelaez, Maria J. & Diaz, Antonia, 2005. "Minimum consumption and transitional dynamics in wealth distribution," Journal of Monetary Economics, Elsevier, vol. 52(3), pages 633-667, April.
  31. David Domeij & Jonathan Heathcote, 2004. "On The Distributional Effects Of Reducing Capital Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 523-554, 05.
  32. Diaz, Antonia & Pijoan-Mas, Josep & Rios-Rull, Jose-Victor, 2003. "Precautionary savings and wealth distribution under habit formation preferences," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1257-1291, September.
  33. Yann Algan & Arnaud Cheron & Jean-Olivier Hairault & Francois Langot, 2003. "Wealth Effect on Labor Market Transitions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 156-178, January.
  34. Francesc Obiols-Homs & Carlos Urrutia, 2004. "Transitional Dynamics and the Distribution of Assets," Macroeconomics 0407020, EconWPA.
  35. Kurozumi, Eiji & Hayakawa, Kazuhiko, 2009. "Asymptotic properties of the efficient estimators for cointegrating regression models with serially dependent errors," Journal of Econometrics, Elsevier, vol. 149(2), pages 118-135, April.
  36. Cecilia García-Peñalosa & Stephen Turnovsky, 2006. "Growth and income inequality: a canonical model," Economic Theory, Springer, vol. 28(1), pages 25-49, 05.
  37. M. Fatih Guvenen, 2002. "Reconciling Conflicting Evidence on the Elasticity of Intertemporal Substitution: A Macroeconomic Perspective," RCER Working Papers 491, University of Rochester - Center for Economic Research (RCER), revised Mar 2003.
  38. John Y. Campbell & Robert J. Shiller, 1986. "Cointegration and Tests of Present Value Models," NBER Working Papers 1885, National Bureau of Economic Research, Inc.
  39. Robinson, P. M., 1991. "Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression," Journal of Econometrics, Elsevier, vol. 47(1), pages 67-84, January.
  40. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  41. Turnovsky, Stephen J. & Garci­a-Peñalosa, Cecilia, 2008. "Distributional dynamics in a neoclassical growth model: The role of elastic labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1399-1431, May.
  42. Donald W. K. Andrews & Patrik Guggenberger, 2003. "A Bias--Reduced Log--Periodogram Regression Estimator for the Long--Memory Parameter," Econometrica, Econometric Society, vol. 71(2), pages 675-712, March.
  43. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-22, May.
  44. repec:clu:wpaper:0102-19 is not listed on IDEAS
  45. Ekaterini Panopoulou & Nikitas Pittis, 2004. "A comparison of autoregressive distributed lag and dynamic OLS cointegration estimators in the case of a serially correlated cointegration error," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 585-617, December.
  46. Lilia Maliar & Serguei Maliar, 2003. "The Representative Consumer in the Neoclassical Growth Model with Idiosyncratic Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 368-380, April.
  47. repec:cep:stiecm:/2001/420 is not listed on IDEAS
  48. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-56, September.
  49. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
  50. Cecilia García‐Peñalosa & Stephen J. Turnovsky, 2011. "Taxation and Income Distribution Dynamics in a Neoclassical Growth Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(8), pages 1543-1577, December.
  51. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
  52. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
  53. repec:cep:stiecm:/2003/449 is not listed on IDEAS
  54. Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
  55. Chatterjee, Satyajit, 1994. "Transitional dynamics and the distribution of wealth in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 54(1), pages 97-119, May.
  56. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
  57. Emmanuel Dubois & Sandrine Lardic & Valérie Mignon, 2004. "The Exact Maximum Likelihood-Based Test for Fractional Cointegration: Critical Values, Power and Size," Computational Economics, Society for Computational Economics, vol. 24(3), pages 239-255, July.
  58. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
  59. Afonso Goncalves da Silva & Peter Robinson, 2008. "Finite Sample Performance in Cointegration Analysis of Nonlinear Time Series with Long Memory," Econometric Reviews, Taylor & Francis Journals, vol. 27(1-3), pages 268-297.
  60. Lilia Maliar & Serguei Maliar, 1999. "- Heterogeneity In Capital And Skills In A Neoclassical Stochastic Growth Model," Working Papers. Serie AD 1999-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  61. Eva Sierminska & Andrea Brandolini & Timothy Smeeding, 2006. "The Luxembourg Wealth Study – A cross-country comparable database for household wealth research," Journal of Economic Inequality, Springer, vol. 4(3), pages 375-383, December.
  62. Nielsen, Morten Orregaard, 2007. "Local Whittle Analysis of Stationary Fractional Cointegration and the ImpliedRealized Volatility Relation," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 427-446, October.
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