Large T and small N : A three-step approach to the identification of cointegrating relationships in time series models with a small cross-sectional dimension
AbstractThis paper addresses cointegration in small cross-sectional panel data models. In addition to dealing with cointegrating relationships within the cross-sectional dimension, the paper explicitly addresses the issue of cointegration between cross-sections. The approach is based upon a well-known distributional result for the trace test when some of the cointegrating vectors are a priori known, and advocates a three-step procedure for the identification of the cointegrating space when dealing with two-dimensional data. The first step of this procedure utilizes traditional techniques to identify the long-run relationships within each cross-sectional unit separately. In the second step these first step relationships are then treated as known when searching for potential long run relationships between units in a joint analysis comprising the whole cross-sectional dimension. The third step of the procedure then finally reestimate all free parameters of the identified long-run structure to get rid of a potential simultaneity bias as a result of a non-diagonal covariance matrix. Identification of the long-run structures of Norwegian exports and international interest rate relationships are used as examples. Norwegian mainland exports have here been divided into two cross-sectional units; the traditional goods sector and the service sector. While in the study of international interest rate relationships the two sectors investigated are Germany and the US. The examples are used to address the more general issues of the degree of independence in capital markets and in goods markets of small open economies.
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 Norges Bank in its series Working Paper with number 2004/15.
Length: 63 pages
Date of creation: 12 Nov 2004
Date of revision:
Cointegration; Panel data; transmission mechanism; monopolistic competition; exports;
Find related papers by JEL classification:
- C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
- F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-03-13 (All new papers)
- NEP-ECM-2005-03-13 (Econometrics)
- NEP-ETS-2005-03-13 (Econometric Time Series)
- NEP-MAC-2005-03-13 (Macroeconomics)
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.:
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- Roger Hammersland, 2004. "The degree of independence in European goods markets : An I(2) analysis of German and Norwegian trade data," Working Paper 2004/19, Norges Bank.
- Johansen, Søren, 1995.
"A Stastistical Analysis of Cointegration for I(2) Variables,"
Cambridge University Press, vol. 11(01), pages 25-59, February.
- Johansen, S., 1991. "A Statistical Analsysis of Cointegration for I(2) Variables," Papers 77, Helsinki - Department of Economics.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
- Suzanne McCoskey & Chihwa Kao, 1998.
"A residual-based test of the null of cointegration in panel data,"
Taylor & Francis Journals, vol. 17(1), pages 57-84.
- Chihwa Kao & Suzanne McCoskey, 1997. "A Residual-Based Test Of The Null Of Cointegration In Panel Data," Econometrics 9711002, EconWPA.
- Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-92, Summer.
- Mark P. Taylor & Ronald MacDonald, 1991.
"Exchange Rate Economics: A Survey,"
IMF Working Papers
91/62, International Monetary Fund.
- Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
- Frankel, Jeffrey A. & Rose, Andrew K., 1996.
"A panel project on purchasing power parity: Mean reversion within and between countries,"
Journal of International Economics,
Elsevier, vol. 40(1-2), pages 209-224, February.
- Jeffrey A. Frankel and Andrew K. Rose., 1995. "A Panel Project on Purchasing Power Parity: Mean Reversion Within and Between Countries," Center for International and Development Economics Research (CIDER) Working Papers C95-052, University of California at Berkeley.
- Jeffrey A. Frankel & Andrew K. Rose, 1995. "A Panel Project on Purchasing Power Parity: Mean Reversion Within and Between Countries," NBER Working Papers 5006, National Bureau of Economic Research, Inc.
- Frankel, Jeffrey A & Rose, Andrew K, 1995. "A Panel Project on Purchasing Power Parity: Mean Reversion Within and Between Countries," CEPR Discussion Papers 1128, C.E.P.R. Discussion Papers.
- Danny Quah, 1993.
"Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data,"
FMG Discussion Papers
dp171, Financial Markets Group.
- Quah, Danny, 1994. "Exploiting cross-section variation for unit root inference in dynamic data," Economics Letters, Elsevier, vol. 44(1-2), pages 9-19.
- Quah, D., 1993. "Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data," Papers 549, Stockholm - International Economic Studies.
- Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998.
"Likelihood-Based Cointegration Tests in Heterogeneous Panels,"
Working Paper Series in Economics and Finance
250, Stockholm School of Economics, revised 27 Aug 1998.
- Rolf Larsson & Johan Lyhagen & Mickael Lothgren, 2001. "Likelihood-based cointegration tests in heterogeneous panels," Econometrics Journal, Royal Economic Society, vol. 4(1), pages 41.
- Roger Hammersland, 2004. "Who was in the driving seat in Europe during the nineties, International financial markets or the BUBA?," Working Paper 2004/20, Norges Bank.
- Larsson, Rolf & Lyhagen, Johan, 1999.
"Likelihood-Based Inference in Multivariate Panel Cointegration Models,"
Working Paper Series in Economics and Finance
331, Stockholm School of Economics.
- Rolf Larsson & Johan Lyhagen, 2000. "Likelihood-Based Inference in Multivariate Panel Cointegration Models," Econometric Society World Congress 2000 Contributed Papers 1313, Econometric Society.
- MacDonald, Ronald, 1996. "Panel unit root tests and real exchange rates," Economics Letters, Elsevier, vol. 50(1), pages 7-11, January.
- Paruolo Paolo, . "LR cointegration tests when some cointegrating relations are known," Economics and Quantitative Methods qf0106, Department of Economics, University of Insubria.
- Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(05), pages 984-1014, October.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
If references are entirely missing, you can add them using this form.