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The role of the constant and linear terms in cointegration analysis of nonstationary variables
Authors:S⊘ren Johansen
Affiliation:Institute of Mathematical Statistics , Universitet sparken , s, Copenhagen ?, 2100, Denmark
Abstract:
The autoregressive model for cointegrated variables is analyzed with respect to the role of the constant and linear terms. Various models for 1(1) variables defined by restrictions on the deterministic terms are discussed, and it is shown that statistical inference can be performed by reduced rank regression. The asymptotic distributions of the test statistics and estimators are found. A similar analysis is given for models for 1(2) variables with a constant term.
Keywords:Cointegration  Autoregressive Models  Linear Trend  Quadratic Trend  Reduced Rank Regression
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