NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

A Simple MLE of Cointegrating Vectors in Higher Order Integrated Systems

James H. Stock, Mark W. Watson

NBER Technical Working Paper No. 83
Issued in December 1989
NBER Program(s):   EFG   ME

An MLE of the unknown parameters of co integrating vectors is presented for systems in which some variables exhibit higher orders of integration, in which there might be deterministic components, and in which the co integrating vector itself might involve variables of differing orders of integration. The estimator is simple to compute: it can be calculated by running GLS for standard regression equations with serially correlated errors. Alternatively, an asymptotically equivalent estimator can be computed using OLS. Usual Wald test statistics based on these MLE's (constructed using an autocorrelation robust covariance matrix in the case of the OLS estimator) have asymptotic x2 distributions.

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Document Object Identifier (DOI): 10.3386/t0083

Published: Econometrica, vol 61, no 4, (July 1993), p. 783-820

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