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Asymptotic convergence of weighted random matrices: nonparametric cointegration analysis for I(2) processes

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  • Cerqueti, Roy
  • Costantini, Mauro

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Abstract

The aim of this paper is to provide a new perspective on the nonparametric co-integration analysis for integrated processes of the second order. Our analysis focus on a pair of random matrices related to such integrated process. Such matrices are constructed by introducing some weight functions. Under asymptotic conditions on such weights, convergence results in distribution are obtained. Therefore, a generalized eigenvalue problem is solved. Differential equations and stochastic calculus theory are used.

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File URL: http://web.unimol.it/progetti/repec/mol/ecsdps/ESDP05027.pdf
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Bibliographic Info

Paper provided by University of Molise, Dept. EGSeI in its series Economics & Statistics Discussion Papers with number esdp05027.

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Length: 17 pages
Date of creation: 09 Sep 2005
Date of revision:
Handle: RePEc:mol:ecsdps:esdp05027

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Keywords: Co-integration; Nonparametric; Differential equations; Asymptotic properties.;

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  1. Søren Johansen & Katarina Juselius, 1992. "Identification of the Long-Run and the Short-Run Structure: An Application to the ISLM Model," Discussion Papers 92-04, University of Copenhagen. Department of Economics.
  2. Anindya Banerjee & Lynne Cockerell & Bill Russell, 2000. "An I(2) Analysis of Inflation and the Markup," Dundee Discussion Papers in Economics 120, Economic Studies, University of Dundee.
  3. Rahbek, Anders & Christian Kongsted, Hans & Jorgensen, Clara, 1999. "Trend stationarity in the I(2) cointegration model," Journal of Econometrics, Elsevier, vol. 90(2), pages 265-289, June.
  4. Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
  5. Bierens, H.J., 1995. "Nonparametric cointegration analysis," Discussion Paper 1995-123, Tilburg University, Center for Economic Research.
  6. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
  7. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  8. Cerqueti, Roy & Costantini, Mauro, 2005. "Generalization of a nonparametric co-integration analysis for multivariate integrated processes of an integer order," Economics & Statistics Discussion Papers esdp05026, University of Molise, Dept. EGSeI.
  9. 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.
  10. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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