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Subsampling Cointegration Ranks in Large Systems

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  • Chen Pu

    (University Bielefeld)

  • Hsiao Chihying

    (University Bielefeld)

Abstract

In this paper we investigate the possibility of the application of subsampling procedure for testing cointegration relations in large multivariate systems. The subsampling technique is applied to overcome the difficulty of nonstandard distribution and nuisance parameters in testing for cointegration rank without an explicitly formulated structural model. The contribution in this paper is twofold: theoretically this paper shows that the subsampling testing procedure is consistent and has asymptotically power 1;practically this paper demonstrates that the subsampling procedure can be applied to determine the cointegration rank in large scale models, where the standard procedures hits already its limit. For empirical relevant cases our simulation studies show that centered subsampling improves decisively the performance of subsampling test procedure and makes it applicable also for cases when the number of independent stochastic trends are very large.

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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 0508010.

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Date of creation: 07 Aug 2005
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Handle: RePEc:wpa:wuwpem:0508010

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Web page: http://128.118.178.162

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Keywords: Cointegration; Large Systems; Nonparametric Tests; Subsampling;

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  1. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-93, January.
  2. 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.
  3. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  4. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January.
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