Testing for the cointegration rank when some cointegrating directions are changing

We develop some tests for characterizing the cointegration space of a cointegrated vector autoregressive model when its long-run parameters are modified by a structural break at a known date. We first consider the case in which the break does not affect the loading factors and second the more general one in which all long-run parameters change. For each configuration, we design procedures to test for the cointegration rank as for the number of directions which are changing between the two regimes. For the simplest case, the cointegration rank test is also extended to the case of an unknown date of shift.

[1]  Helmut Lütkepohl,et al.  Testing for the Cointegrating Rank of a VAR Process With Structural Shifts , 2000 .

[2]  S. Johansen.  Likelihood-Based Inference in Cointegrated Vector Autoregressive Models , 1996 .

[3]  D. Andrews,et al.  Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis , 1992 .

[4]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[5]  T. W. Anderson.  Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions , 1951 .

[6]  P. Perron,et al.  The Great Crash, The Oil Price Shock And The Unit Root Hypothesis , 1989 .

[7]  Byeongseon Seo,et al.  TESTS FOR STRUCTURAL CHANGE IN COINTEGRATED SYSTEMS , 1998, Econometric Theory.

[8]  Atsushi Inoue.  Tests of cointegrating rank with a trend-break , 1999 .

[9]  James G. MacKinnon,et al.  Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration , 1996 .

[10]  Carmela Quintos.  Stability tests in error correction models , 1998 .

[11]  James M. Nason,et al.  Testing for structural breaks in cointegrated relationships , 1996 .

[12]  S. Johansen,et al.  Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK , 1992 .

[13]  Samuel Karlin,et al.  Studies in econometrics, time series, and multivariate statistics , 1983 .

[14]  S. Johansen.  Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models , 1991 .

[15]  H. P. Boswijk,et al.  Identifiability of cointegrated systems , 1995 .

[16]  Søren Johansen,et al.  Some tests for parameter constancy in cointegrated VAR-models , 1999 .

[17]  Peter C. B. Phillips,et al.  Fully Modified Least Squares and Vector Autoregression , 1993 .

[18]  Bruce E. Hansen,et al.  Tests for Parameter Instability in Regressions with I(1) Processes , 1992 .

[19]  James G. MacKinnon,et al.  Numerical Distribution Functions for Unit Root and Cointegration Tests , 1996 .

[20]  J. Stock,et al.  Testing for Common Trends , 1988 .

[21]  Bruce E. Hansen,et al.  Residual-based tests for cointegration in models with regime shifts , 1996 .

[22]  S. Johansen.  STATISTICAL ANALYSIS OF COINTEGRATION VECTORS , 1988 .

[23]  C. Granger.  Some properties of time series data and their use in econometric model specification , 1981 .

[24]  J. Stock,et al.  Recursive and Sequential Tests of the Unit Root and Trend Break Hypothesis: Theory and International Evidence , 1990 .

[25]  Peter C. B. Phillips,et al.  Statistical Inference in Instrumental Variables Regression with I(1) Processes , 1990 .

[26]  P. Phillips,et al.  Parameter constancy in cointegrating regressions , 1993 .

[27]  P. Hansen.  Structural Breaks in the Cointegrated Vector Autoregressive Model , 2000 .

[28]  J. Stock,et al.  Testing for and Dating Common Breaks in Multivariate Time Series , 1998 .

[29]  Guy Laroque,et al.  Polynomial cointegration estimation and test , 1994 .