TESTS FOR STRUCTURAL CHANGE IN COINTEGRATED SYSTEMS

This paper considers tests for structural change of the cointegrating vector and the adjustment vector in the error correction model with an unknown change point. This paper derives new tests for structural change, which are applicable to maximum likelihood estimation. Our tests for structural change of the cointegrating vector have the same nonstandard asymptotic distributions that have been found by Hansen (1992a, Journal of Business and Economic Statistics 10, 321–335). In contrast, the tests on the adjustment vector have the same asymptotic distributions that have been found by Andrews and Ploberger (1994, Econometrica 62, 1383–1414) for models with stationary variables. Asymptotic critical values are provided.

[1]  G. C. Tiao,et al.  A canonical analysis of multiple time series , 1977 .

[2]  Peter C. B. Phillips,et al.  Optimal Inference in Cointegrated Systems , 1991 .

[3]  Bruce E. Hansen,et al.  Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis , 1996 .

[4]  D. Andrews Generic Uniform Convergence , 1992, Econometric Theory.

[5]  Seiji Nabeya,et al.  Asymptotic Theory of a Test for the Constancy of Regression Coefficients Against the Random Walk Alternative , 1988 .

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

[7]  B. Hansen Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends , 1992 .

[8]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .

[9]  Bruce E. Hansen,et al.  Convergence to Stochastic Integrals for Dependent Heterogeneous Processes , 1992, Econometric Theory.

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

[11]  R. Davies Hypothesis testing when a nuisance parameter is present only under the alternative , 1977 .

[12]  Thomas S. Shively,et al.  Locally Optimal Testing When a Nuisance Parameter Is Present Only under the Alternative , 1993 .

[13]  Søren Johansen,et al.  Recursive Estimation in Cointegrated VAR-Models , 1992 .

[14]  Robert E. Lucas,et al.  Money demand in the United States: A quantitative review , 1988 .

[15]  Gregory C. Reinsel,et al.  Nested Reduced-Rank Autoregressive Models for Multiple Time Series , 1988 .

[16]  P. Hall,et al.  Martingale Limit Theory and its Application. , 1984 .

[17]  J. Nyblom Testing for the Constancy of Parameters over Time , 1989 .

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

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

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

[21]  D. Andrews Tests for Parameter Instability and Structural Change with Unknown Change Point , 1993 .

[22]  D. Andrews,et al.  Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative , 1992 .

[23]  Victor Solo,et al.  Asymptotics for Linear Processes , 1992 .

[24]  P. Billingsley,et al.  Convergence of Probability Measures , 1970, The Mathematical Gazette.

[25]  Nested Reduced-Rank Autogressive Models for Multiple Time Series , 1988 .

[26]  Mark W. Watson,et al.  A SIMPLE ESTIMATOR OF COINTEGRATING VECTORS IN HIGHER ORDER INTEGRATED SYSTEMS , 1993 .

[27]  D. Andrews Laws of Large Numbers for Dependent Non-Identically Distributed Random Variables , 1988, Econometric Theory.

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

[29]  Dennis L. Hoffman,et al.  The stability of long-run money demand in five industrial countries , 1995 .