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Hypothesis Testing for Cointegration Vectors: with Application to the Demand for Money in Denmark and Finland

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Author Info
Søren Johansen (Institute of Mathematical Statistics, University of Copenhagen)
Katarina Juselius (Institute of Economics, University of Copenhagen)

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Abstract

The purpose of this paper is to give a systematic account of the maximum likelihood inference concerning cointegration vectors in non-stationary vector value autoregressive time series with Gaussian errors. The hypothesis of r cointegration vectors is given a simple parametric formulation in terms of cointegration vectors and their weights. We then estimate and test linear hypotheses about these. We find that the asymptotic inference for the linear hypotheses can be performed by applying the usual ² test. We also give some very simple Wald test and their asymptotic properties. The methids are illustrated by data from the Danish and the Finnish economy on the demand for money.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 88-05.

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Length: 46 pages
Date of creation: Apr 1988
Date of revision:
Publication status: Published as: "Maximum Likelihood Estimation and Inference on Cointegration - With Applications to the Demand for Money", in: Oxford Bulletin of Economics and Statistics, 1990, 52(2) pp. 169-210
Handle: RePEc:kud:kuiedp:8805

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Related research
Keywords: cointegration; error correction; maximum likelihood estimation; likelihood ratio test; vector autoregressive processes; money demand; Denmark; Finland;

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  2. Vogelvang, E., 1990. "Testing for co-integration with spot prices of some related agricultural commodities," Serie Research Memoranda 0001, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics. [Downloadable!]
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