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Social and Behavioral Sciences Commons

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Econometrics

Singapore Management University

Series

2008

Exposive cointegration

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Limit Theory For Explosively Cointegrated Systems, Peter C. B. Phillips, Tassos Magdalinos Aug 2008

Limit Theory For Explosively Cointegrated Systems, Peter C. B. Phillips, Tassos Magdalinos

Research Collection School Of Economics

A limit theory is developed for multivariate regression in an explosive cointegrated system. The asymptotic behavior of the least squares estimator of the cointegrating coefficients is found to depend upon the precise relationship between the explosive regressors. When the eigenvalues of the autoregressive matrix Θ are distinct, the centered least squares estimator has an exponential Θn rate of convergence and a mixed normal limit distribution. No central limit theory is applicable here, and Gaussian innovations are assumed. On the other hand, when some regressors exhibit common explosive behavior, a different mixed normal limiting distribution is derived with rate of convergence …