Testing for cointegration in dependent panels via residual-based bootstrap methods

Di Iorio, Francesca and Fachin, Stefano (2007): Testing for cointegration in dependent panels via residual-based bootstrap methods.

Abstract

We address the issue of panel cointegration testing in dependent panels, showing by simulations that tests based on the stationary bootstrap deliver good size and power performances even with small time and cross-section sample sizes and allowing for a break at a known date. They can thus be an empirically important alternative to asymptotic methods based on the estimation of common factors. Potential extensions include test for cointegration allowing for a break in the cointegrating coe¢ cients at an unknown date.

• Item Type: MPRA Paper
• Institution: University of Rome ”La Sapienza”
• Language: English
• Keywords: Panel Cointegration, Stationary Bootstrap, Wild Bootstrap, breaks
• Subjects: C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C23 - Panel Data Models ; Spatio-temporal Models; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General

References

Bai J., Ng S. (2004) A PANIC Attack on Unit Roots and Cointegration Econometrica 72, 1127-1177.

Banerjee, A. (1999) Unit Roots and Cointegration: an Overview Oxford Bulletin of Economics and Statistics, 61, 697-629.

Banerjee, A., Carrion-i-Silvestre J.L. (2006) Cointegration in Panel Data With Breaks and Cross-Section Dependence Working Paper Series n. 591, European Central Bank.

Bonham, C.S. (1991) "Correct Cointegration Tests of the Long-Run Relationship between Nominal Interest and Inflation" Applied Economics,23,1487-1592.

Breitung, J., Pesaran M.H. (2006) Unit Roots and Cointegration in Panels in L. Matyas and P. Sevestre (Eds.) The Econometrics of Panel Data, Kluwer Academic Publishers.

Chang Y., Park J.Y., Song K. (2006) Bootstrapping cointegrating regressions Journal of Econometrics 133, 703-739.

Engle, R. F. and Granger, C. W. J. (1987) "Co-integration and Error Correction: Representation, Estimation, and Testing" Econometrica, 55,251-276.

Evans, P., Wang X. (2008) "A Tale of Two E¤ects" Review of Economics & Statistics, 90 147-157.

Fachin, S. (2007) Long-Run Trends in Internal Migrations in Italy: a Study in Panel Cointegration with Dependent Units Journal of Applied Econometrics 22, 401-428.

Fisher, I. (1930) The Theory of Interest Macmillan, New York.

Garcia, R., Perron P. (1996) An Analysis of the Real Rate of Interest Under Regime Shifts. Review of Economics and Statistics, 78, 111�-125.

Gengenbach, C., Palm F., Urbain J.P. (2006) Panel Cointegration Testing in the Presence of Common Factors Oxford Bulletin of Economics and Statistics 68:S1, 683-719.

Ghazali, N.A., Ramlee S. (2003) "A long memory test of the long-run Fisher e¤ect in the G7 countries" Applied Financial Economics, 13, 763�-769.

Gregory, A.W., Hansen B.E. (1996) Residual-based tests for cointegration in models with regime shifts, Journal of Econometrics, 70, 99-126.

Groen, J.J.J., F. Kleibergen (2003) Likelihood-Based Cointegration Analysis in Panels of Vector Error-Correction Models Journal of Business and Economic Statistics, 21, 295-318.

Herwartza, H., Neumann M.H. (2005) Bootstrap inference in systems of single equation error correction models Journal of Econometrics, 128, 165-193.

Kao, C. (1999) "Spurious Regression and Residual-Based Tests for Cointegration in Panel Data" Journal of Econometrics, 90, 1-44.

King, R.G., and Watson M.W. (1997) "Testing Long-Run Neutrality" Federal Reserve Bank of Richmond Economic Quarterly, 83, 69-101

Koustas, Z., Serletis A. (1999) "On the Fisher e¤ect" Journal of Monetary Economics, 44, 105-130.

MacDonald, R. and Murphy P.D. (1989) "Testing for the Long Run Relationship between Nominal Interest Rates and Inflation Using Cointegration Techniques" Applied Economics, 21, 439-447.

MacKinnon, J. (1991), Critical Values for Cointegration Tests in Long-Run Economic Relationships, R.F. Engle and C.W.J. Granger (Eds.),Oxford University Press, Oxford (UK).

Mishkin, F.S. (1992) Is the Fisher E¤ect for Real? A reexamination of the relationship between inflation and interest rates Journal of Monetary Economics 30, 195�-215.

O'Connell, P.G.J (1998) "The Overvaluation of Purchasing Power Parity" Journal of International Economics, 44, 1-19. Parker, C., Paparoditis E., Politis D.N. (2006) Unit root testing via the stationary bootstrap Journal of Econometrics 133, 601-638.

Paparoditis E., Politis D.N. (2001) The Continuous-Path Block Bootstrap In Asymptotics in Statistics and Probability. Papers in honor of George Roussas, Madan Puri (Ed.), VSP Publications, Zeist (NL).

Paparoditis, E., Politis, D.N. (2003) Residual-based block bootstrap for unit root testing. Econometrica 71, 813-855.

Pedroni, P. 1999. "Critical Values For Cointegration Tests In Heterogeneous Panels With Multiple Regressors". Oxford Bulletin of Economics and Statistics 61: 653-670.

Pedroni, P. (2004) Panel Cointegration, Asymptotic and Finite Sample Properties of Pooled Time Series tests with an Application to the PPP hypothesis Econometric Theory 20, 597-625.

Politis, D.N., Romano J.P. (1994) The stationary bootstrap Journal of American Statististical Association 89, 1303-1313. Rose, A.K. (1988) "Is the Real Interest Rate Stable" Journal of Finance, 43, 1095-1112.

Westerlund, J. (2008) Panel Cointegration Tests of the Fisher E¤ect Journal of Applied Econometrics 23, 193-233.

Westerlund, J., Edgerton D. (2007) A Panel Bootstrap Cointegration Test Economics Letters vol. 97 pp.185-190.