A Simple MLE of Cointegrating Vectors in Higher Order Integrated Systems

James H. Stock and Mark Watson

No 83, NBER Technical Working Papers from National Bureau of Economic Research, Inc

Abstract: 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.

Date: 1989-12
Note: EFG ME
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Citations: View citations in EconPapers (18)

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

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