Journal ArticleDOI
Statistical analysis of cointegration vectors
TLDR
In this paper, the authors consider a nonstationary vector autoregressive process which is integrated of order 1, and generated by i.i.d. Gaussian errors, and derive the maximum likelihood estimator of the space of cointegration vectors and the likelihood ratio test of the hypothesis that it has a given number of dimensions.About:
This article is published in Journal of Economic Dynamics and Control.The article was published on 1988-06-01. It has received 16189 citations till now. The article focuses on the topics: Cointegration & Asymmetric cointegration.read more
Citations
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Journal ArticleDOI
Maximum likelihood estimation and inference on cointegration — with applications to the demand for money
Søren Johansen,Katarina Juselius +1 more
TL;DR: In this paper, the estimation and testing of long-run relations in economic modeling are addressed, starting with a vector autoregressive (VAR) model, the hypothesis of cointegration is formulated as a hypothesis of reduced rank of the long run impact matrix.
Maximun likelihood estimation and inference on cointegration - With applications to the demand for money
Søren Johansen,Katarina Juselius +1 more
Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models / Søren Johansen
TL;DR: In this paper, the authors present the likelihood methods for the analysis of cointegration in VAR models with Gaussian errors, seasonal dummies, and constant terms, and show that the asymptotic distribution of the maximum likelihood estimator is mixed Gausssian.
Journal ArticleDOI
Estimation and hypothesis testing of cointegration vectors in gaussian vector autoregressive models
TL;DR: In this article, the authors derived the likelihood analysis of vector autoregressive models allowing for cointegration and showed that the asymptotic distribution of the maximum likelihood estimator of the cointegrating relations can be found by reduced rank regression and derives the likelihood ratio test of structural hypotheses about these relations.
Journal ArticleDOI
Statistical inference in vector autoregressions with possibly integrated processes
Hiro Y. Toda,Taku Yamamoto +1 more
TL;DR: In this paper, the authors show how to estimate VAR's formulated in levels and test general restrictions on the parameter matrices even if the processes may be integrated or cointegrated of an arbitrary order.
References
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Journal ArticleDOI
Co-integration and Error Correction: Representation, Estimation and Testing
TL;DR: The relationship between co-integration and error correction models, first suggested in Granger (1981), is here extended and used to develop estimation procedures, tests, and empirical examples.
Journal ArticleDOI
Distribution of the Estimators for Autoregressive Time Series with a Unit Root
David A. Dickey,Wayne A. Fuller +1 more
TL;DR: In this article, the limit distributions of the estimator of p and of the regression t test are derived under the assumption that p = ± 1, where p is a fixed constant and t is a sequence of independent normal random variables.
Book
An Introduction to Multivariate Statistical Analysis
TL;DR: In this article, the distribution of the Mean Vector and the Covariance Matrix and the Generalized T2-Statistic is analyzed. But the distribution is not shown to be independent of sets of Variates.
Book
Linear statistical inference and its applications
TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
Journal ArticleDOI
Introduction to Multivariate Statistical Analysis.
William G. Madow,T. W. Anderson +1 more
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Co-integration and Error Correction: Representation, Estimation and Testing
Maximum likelihood estimation and inference on cointegration — with applications to the demand for money
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