S. K. Ahn and C. G. , The influence of VAR dimension on estimator biases, Econometrica, vol.67, pp.163-181, 1990.

A. B. Bernard and S. N. Durlauf, Convergence in international output, Journal of Applied Econometrics, vol.94, issue.2, pp.97-108, 1995.
DOI : 10.1002/jae.3950100202

M. Bobkoski, Hypothesis testing in nonstationary time series, 1983.

J. C. Brada, A. M. Kutan, and S. Zhou, Real and monetary convergence between the European Union???s core and recent member countries: A rolling cointegration approach, Journal of Banking & Finance, vol.29, issue.1, pp.249-270, 2005.
DOI : 10.1016/j.jbankfin.2004.06.024

F. Busetti and A. Harvey, Testing for trend. mimeo, 2005.

C. Cavanagh, Roots local to unity. Unpublished manuscript, 1985.

G. B. Evans and N. E. Savin, Testing for Unit Roots: 2, Econometrica, vol.52, issue.5, pp.1241-69, 1984.
DOI : 10.2307/1910998

G. Cavaliere, A. R. , and A. M. Taylor, Bootstrap determination of the co-integration rank in vector autoregressive models, Econometrica, vol.80, issue.4, pp.1721-1761, 2012.

N. Haldrup and S. Hylleberg, A note on the distribution of the least squares estimator of a random walk with drift: Some analytical evidence, Economics Letters, vol.48, issue.3-4, pp.221-229, 1995.
DOI : 10.1016/0165-1765(94)00637-H

J. D. Hamilton, Time Series Analysis, 1994.

D. Harvey, S. Leybourne, and R. Taylor, A simple, robust and powerful test of the trend hypothesis, Journal of Econometrics, vol.141, issue.2, pp.1302-1332, 2007.
DOI : 10.1016/j.jeconom.2007.02.005

URL : https://hal.archives-ouvertes.fr/hal-00501809

D. I. Harvey, S. J. Leybourne, and A. M. Taylor, UNIT ROOT TESTING IN PRACTICE: DEALING WITH UNCERTAINTY OVER THE TREND AND INITIAL CONDITION, Econometric Theory, vol.54, issue.03, pp.587-636, 2009.
DOI : 10.2307/1913104

M. Jansson and N. Haldrup, REGRESSION THEORY FOR NEARLY COINTEGRATED TIME SERIES, Econometric Theory, vol.18, issue.06, pp.1309-1335, 2002.
DOI : 10.1017/S0266466602186026

S. Johansen, Statistical analysis of cointegration vectors, Journal of Economic Dynamics and Control, vol.12, issue.2-3, pp.231-254, 1988.
DOI : 10.1016/0165-1889(88)90041-3

. Granger, Long?run Economic Relationships, Readings in Cointegration, 1991.

S. Johansen, Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models, Econometrica, vol.59, issue.6, pp.1551-80, 1991.
DOI : 10.2307/2938278

S. Johansen, The role of the constant and linear terms in cointegration analysis of nonstationary variables, Econometric Reviews, vol.13, issue.2, pp.205-236, 1994.
DOI : 10.1111/j.1468-0084.1990.mp52002003.x

S. Johansen, Likelihood-based inference in cointegrated vector auto-regressive models, 1995.

S. Johansen, A BARTLETT CORRECTION FACTOR FOR TESTS ON THE COINTEGRATING RELATIONS, Econometric Theory, vol.16, issue.5, pp.740-78, 2000.
DOI : 10.1017/S0266466600165065

S. Johansen, A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model, Econometrica, vol.70, issue.5, pp.1929-61, 2002.
DOI : 10.1111/1468-0262.00358

S. Johansen, A small sample correction for tests of hypotheses on the cointegrating vectors, Journal of Econometrics, vol.111, issue.2, pp.195-221, 2002.
DOI : 10.1016/S0304-4076(02)00104-5

K. Juselius, The cointegrated VAR model, 2006.

T. Kim, S. J. Leybourne, and P. Newbold, Asymptotic mean-squared forecast error when an autoregression with linear trend is fitted to data generated by an I(0) or I(1) process, Journal of Time Series Analysis, vol.68, issue.4, pp.583-602, 2004.
DOI : 10.1016/0165-1765(87)90181-9

R. King, C. Plosser, J. Stock, and M. Watson, Stochastic trends and economic fluctuations, American Economic Review, vol.81, issue.4, pp.819-859, 1991.
DOI : 10.3386/w2229

J. F. Kiviet and G. D. Phillips, Moment approximation for least-squares estimators in dynamic regression models with a unit root*, The Econometrics Journal, vol.56, issue.2, pp.115-142, 2005.
DOI : 10.1016/S0304-4076(97)00099-7

E. Pesavento, Analytical evaluation of the power of tests for the absence of cointegration, Journal of Econometrics, vol.122, issue.2, pp.349-84, 2004.
DOI : 10.1016/j.jeconom.2003.10.025

P. C. Phillips, Towards a unified asymptotic theory for autoregression, Biometrika, vol.74, issue.3, pp.535-547, 1987.
DOI : 10.1093/biomet/74.3.535

B. Rossi, TESTING LONG-HORIZON PREDICTIVE ABILITY WITH HIGH PERSISTENCE, AND THE MEESE-ROGOFF PUZZLE*, International Economic Review, vol.64, issue.1, pp.61-92, 2005.
DOI : 10.1016/0304-3932(91)90034-L

P. Saikkonen and H. Lütkepohl, LOCAL POWER OF LIKELIHOOD RATIO TESTS FOR THE COINTEGRATING RANK OF A VAR PROCESS, Econometric Theory, vol.15, issue.1, pp.50-78, 1999.
DOI : 10.1017/S026646669915103X

P. Saikkonen and H. Lütkepohl, TESTING FOR THE COINTEGRATING RANK OF A VAR PROCESS WITH AN INTERCEPT, Econometric Theory, vol.16, issue.03, pp.373-406, 2000.
DOI : 10.1017/S0266466600163042

P. Saikkonen and H. Lütkepohl, Trend Adjustment Prior to Testing for the Cointegrating Rank of a Vector Autoregressive Process, Journal of Time Series Analysis, vol.21, issue.4, pp.435-56, 2000.
DOI : 10.1111/1467-9892.00192

J. H. Stock, Confidence intervals for the largest autoregressive root in U.S. macroeconomic time series, Journal of Monetary Economics, vol.28, issue.3, pp.435-459, 1991.
DOI : 10.1016/0304-3932(91)90034-L

J. H. Stock and M. W. Watson, Confidence sets in regressions with highly serially correlated regressors. mimeo, 1996.

A. R. Swensen, Bootstrap Algorithms for Testing and Determining the Cointegration Rank in VAR Models, Econometrica, vol.74, issue.6, pp.1699-1714, 2006.
DOI : 10.1111/j.1468-0262.2006.00723.x

T. Vogelsang, Trend Function Hypothesis Testing in the Presence of Serial Correlation, Econometrica, vol.66, issue.1, pp.123-148, 1998.
DOI : 10.2307/2998543