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Estimating Cointegrated Systems Using Subspace Algorithms

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Author Info
Dietmar Bauer (Institute for Econometrics)
Martin Wagner (University of Berne)

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Abstract

In this paper the properties of so called subspace methods in the context of cointegrated processes of order one are investigated. It is shown that the algorithms deliver consistent estimates of the transfer function in the case of general VARMA models and under mild conditions on the underlying noise process. A procedure for the estimation of the dimension of the cointegrating space is presented and consistency for this procedure is proven. Also the estimation of the order of the system is discussed. Simulation examples demon- strate the usefulness of the subspace algorithms for the estimation of cointegrated systems.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0293.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:0293

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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.:
  1. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation, Yale University. [Downloadable!]
  2. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 93-126, November. [Downloadable!] (restricted)
  3. Wagner, Martin, 1999. "Bierens' and Johansen's Method - Complements or Substitutes?," Economics Series 74, Institute for Advanced Studies. [Downloadable!]
  4. 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. [Downloadable!] (restricted)
  5. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April. [Downloadable!] (restricted)
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  6. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
  7. Lutkepohl, Helmut & Saikkonen, Pentti, 1997. "Impulse response analysis in infinite order cointegrated vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 127-157, November. [Downloadable!] (restricted)
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  8. repec:cup:etheor:v:8:y:1992:i:1:p:1-27 is not listed on IDEAS
  9. Wagner, Martin, 1999. "VAR Cointegration in VARMA Models," Economics Series 65, Institute for Advanced Studies. [Downloadable!]
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(explanations, 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.)

  1. Bauer, Dietmar & Wagner, Martin, 2005. "Autoregressive Approximations of Multiple Frequency I(1) Processes," Economics Series 174, Institute for Advanced Studies. [Downloadable!]
    Other versions:
  2. Martin Wagner, 2002. "A Comparison of Johansen's, Bierens and the Subspace Algorithm Method for Cointegration Analysis," Diskussionsschriften dp0210, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
    Other versions:
  3. Segismundo Izquierdo & Ces�reo Hern�ndez & Javier Pajares, 2005. "State Space Modelling of Cointegrated Systems using Subspace Algorithms," Econometrics 0509010, EconWPA, revised 07 Feb 2006. [Downloadable!]
  4. Dietmar Bauer & Martin Wagner, 2003. "A Canonical Form for Unit Root Processes in the State Space Framework," Diskussionsschriften dp0312, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
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  5. Martin Wagner, 2008. "On PPP, unit roots and panels," Empirical Economics, Springer, vol. 35(2), pages 229-249, September. [Downloadable!] (restricted)
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  6. Dietmar Bauer & Martin Wagner, 2002. "Asymptotic Properties of Pseudo Maximum Likelihood Estimates for Multiple Frequency I(1) Processes," Diskussionsschriften dp0205, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
  7. Alfredo García-Hiernaux & José Casals & Miguel Jerez, 2007. "Detección de raíces unitarias y cointegración mediante métodos de subespacios," Revista Colombiana de Estadística, REVISTA COLOMBIANA DE ESTADISTICA. [Downloadable!]
  8. Peter C.B. Phillips, 2004. "Automated Discovery in Econometrics," Cowles Foundation Discussion Papers 1469, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  9. Izquierdo, Segismundo S. & Hernández, Cesáreo & del Hoyo, Juan, 2006. "Forecasting VARMA processes using VAR models and subspace-based state space models," MPRA Paper 4235, University Library of Munich, Germany. [Downloadable!]
  10. Dietmar Bauer & Martin Wagner, 2003. "The Performance of Subspace Algorithm Cointegration Analysis: A Simulation Study," Diskussionsschriften dp0308, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
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