The Likelihood Ratio Test for the Rank of a Cointegration Submatrix
This paper proposes a likelihood ratio test for rank deficiency of a submatrix of the cointegrating matrix. Special cases of the test include the one of invalid normalization in systems of cointegrating equations, the feasibility of permanent-transitory decompositions and of subhypotheses related to neutrality and long-run Granger noncausality. The proposed test has a chi-squared limit distribution and indicates the validity of the normalization with probability one in the limit, for valid normalizations. The asymptotic properties of several derived estimators of the rank are also discussed. It is found that a testing procedure that starts from the hypothesis of minimal rank is preferable. Copyright 2006 Blackwell Publishing Ltd.
If 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 68 (2006)
Issue (Month): s1 (December)
|Contact details of provider:|| Postal: |
Web page: http://www.blackwellpublishing.com/journal.asp?ref=0305-9049
More information through EDIRC
|Order Information:||Web: http://www.blackwellpublishing.com/subs.asp?ref=0305-9049|
References listed on IDEAS
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.:
- Kurozumi, Eiji, 2005.
"The Rank Of A Submatrix Of Cointegration,"
Cambridge University Press, vol. 21(02), pages 299-325, April.
- Hiro Y. Toda & Peter C.B. Phillips, 1991.
"Vector Autoregression and Causality,"
Cowles Foundation Discussion Papers
977, Cowles Foundation for Research in Economics, Yale University.
- Gonzalo, J. & Granger, C., 1992.
"Estimation of Common Long-Memory Components in Cointegrated Systems,"
4, Boston University - Department of Economics.
- Gonzalo, Jesus & Granger, Clive W J, 1995. "Estimation of Common Long-Memory Components in Cointegrated Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 27-35, January.
- H. Peter Boswijk & Jurgen Doornik, 2003.
"Identifying, Estimating and Testing Restricted Cointegrated Systems: An Overview,"
2003-W10, Economics Group, Nuffield College, University of Oxford.
- H. Peter Boswijk & Jurgen A. Doornik, 2004. "Identifying, estimating and testing restricted cointegrated systems: An overview," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 440-465.
- Jurgen Doornik & H. Peter Boswijk, 2003. "Identifying, Estimating and Testing Restricted Cointegrated Systems: An Overview," Economics Series Working Papers 2003-W10, University of Oxford, Department of Economics.
- Søren Johansen, 2005. "Interpretation of Cointegrating Coefficients in the Cointegrated Vector Autoregressive Model," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(1), pages 93-104, 02.
- Johansen, Soren, 1995. "Identifying restrictions of linear equations with applications to simultaneous equations and cointegration," Journal of Econometrics, Elsevier, vol. 69(1), pages 111-132, September.
- Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-99, October.
- Paruolo Paolo, .
"The power of lambda max,"
Economics and Quantitative Methods
qf0004, Department of Economics, University of Insubria.
- Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
- Andrews, Donald W K, 1996. "Admissibility of the Likelihood Ratio Test When the Parameter Space Is Restricted under the Alternative," Econometrica, Econometric Society, vol. 64(3), pages 705-18, May.
- Luukkonen, Ritva & Ripatti, Antti & Saikkonen, Pentti, 1999. "Testing for a Valid Normalization of Cointegrating Vectors in Vector Autoregressive Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(2), pages 195-204, April.
- Paruolo, Paolo, 1997.
"Asymptotic Inference on the Moving Average Impact Matrix in Cointegrated 1(1) VAR Systems,"
Cambridge University Press, vol. 13(01), pages 79-118, February.
- Paruolo, Paolo, 2002. "Asymptotic Inference On The Moving Average Impact Matrix In Cointegrated I (2) Var Systems," Econometric Theory, Cambridge University Press, vol. 18(03), pages 673-690, June.
- Taku Yamamoto & Eiji Kurozumi, 2006.
"Tests for Long-Run Granger Non-Causality in Cointegrated Systems,"
Journal of Time Series Analysis,
Wiley Blackwell, vol. 27(5), pages 703-723, 09.
- Yamamoto, Taku & Kurozumi, Eiji, 2003. "Tests for Long-Run Granger Non-Causality in Cointegrated Systems," Discussion Papers 2003-12, Graduate School of Economics, Hitotsubashi University.
- Taku Yamamoto & Eiji Kurozumi, 2003. "Tests for Long-Run Granger Non-Causality in Cointegrated Systems," Hi-Stat Discussion Paper Series d03-01, Institute of Economic Research, Hitotsubashi University.
- Boswijk, H Peter, 1996. "Testing Identifiability of Cointegrating Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 153-60, April.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
- Pentti Saikkonen, 1999. "Testing normalization and overidentification of cointegrating vectors in vector autoregressive processes," Econometric Reviews, Taylor & Francis Journals, vol. 18(3), pages 235-257.
- Omtzigt, Pieter & Paruolo, Paolo, 2005.
Journal of Econometrics,
Elsevier, vol. 128(1), pages 31-68, September.
- repec:cup:etheor:v:13:y:1997:i:1:p:79-118 is not listed on IDEAS
- Bruneau, C. & Jondeau, E., 1998.
"Long-Run Causality, with an Application to International Links Between Long-Term Interest Rates,"
53, Banque de France.
- Bruneau, Catherine & Jondeau, Eric, 1999. " Long-Run Causality, with an Application to International Links between Long-Term Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 545-68, November.
- C. Bruneau & E. Jondeau, 1997. "Long-run causality, with an application to international links between long-term interest rates," THEMA Working Papers 97-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
When requesting a correction, please mention this item's handle: RePEc:bla:obuest:v:68:y:2006:i:s1:p:921-948. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing)or (Christopher F. Baum)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.