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Econometrica Vol. 59 No. 2 1991

Optimal Inference in Cointegrated Systems

Peter C. B. Phillips

Abstract

Properties of maximum likelihood estimates of cointegrated systems are studied. Alternative formulations are considered, including a new triangular system error correction mechanism. We demonstrate that full system maximum likelihood brings the problem of inference within the family covered by the locally asymptotically mixed normal asymptotic theory, provided all unit roots have been eliminated by specification and data transformation. Methodological issues provide a major focus of the paper. Our results favor use of full system estimation in error correction mechanisms or subsystem methods that are asymptotically equivalent. They also point to disadvantages in the use of unrestricted VAR's formulated in levels and of certain single equation approaches to estimation of error correction mechanisms.

DOI
10.2307/2938258
Volume
59
Issue
2
Pages
283
Sources
bibtex:phds-export.bib crossref openalex

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