Design of vector autoregressive processes for invariant statistics
AbstractThis paper discusses the Monte Carlo (MC) design of Gaussian Vector Au- toregressive processes (VAR) for the evalutation of invariant statistics. We focus on the case of cointegrated (CI) I(1) processes, linear and invertible trans- formations and CI rank likelihood ratio (LR) tests. It is found that all VAR of order 1 can be reduced to a system of independent or recursive subsystems, of computational dimension at most equal to 2. The results are applied to the indexing of the distribution of LR test statistics for CI rank under local alternatives. They are also extended to the case of VAR processes of higher order.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0504.
Length: 31 pages
Date of creation: Sep 2005
Date of revision:
Contact details of provider:
Postal: Via Ravasi 2-21100 Varese
Web page: http://www.uninsubria.it/uninsubria/facolta/econo.html
More information through EDIRC
Invariance; Vector autoregressive process; Monte Carlo; Likeli-hood ratio test; Cointegration.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-01-23 (All new papers)
- NEP-ECM-2007-01-23 (Econometrics)
- NEP-ETS-2007-01-23 (Econometric Time Series)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
- Lütkepohl, Helmut & Saikkonen, Pentti & Trenkler, Carsten, 2000.
"Maximum eigenvalue versus trace tests for the cointegrating rank of a VAR process,"
SFB 373 Discussion Papers
2000,83, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Helmut Lütkepohl & Pentti Saikkonen & Carsten Trenkler, 2001. "Maximum eigenvalue versus trace tests for the cointegrating rank of a VAR process," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 8.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- Saikkonen, Pentti & L tkepohl, Helmut, 2000.
"Testing For The Cointegrating Rank Of A Var Process With An Intercept,"
Cambridge University Press, vol. 16(03), pages 373-406, June.
- Saikkonen, Pentti & Lütkepohl, Helmut, 1998. "Testing for the cointegrating rank of a VAR process with an intercept," SFB 373 Discussion Papers 1998,51, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Dietmar Bauer & Martin Wagner, 2003.
"A Canonical Form for Unit Root Processes in the State Space Framework,"
dp0312, Universitaet Bern, Departement Volkswirtschaft.
- Dietmar Bauer & Martin Wagner, 2002. "A Canonical Form for Unit Root Processes in the State Space Framework," Diskussionsschriften dp0204, Universitaet Bern, Departement Volkswirtschaft.
- Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 203-233.
- Peter Reinhard Hansen, 2005. "Granger's representation theorem: A closed-form expression for I(1) processes," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 23-38, 03.
- Bent Nielsen, 2004. "On the Distribution of Likelihood Ratio Test Statistics for Cointegration Rank," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 1-23.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Segreteria Dipartimento).
If references are entirely missing, you can add them using this form.