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A Spurious Regression Approach to Estimating Structural Parameters

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Chi-Young Choi; Ling Hu; Masao Ogaki

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Abstract

Economic models often imply that certain variables are cointegrated. However, tests often fail to reject the null hypothesis of no cointegration for these variables. One possible explanation of these test results is that the error is unit root nonstationary due to a nonstationary measurement error in one variable. For example, currency held by the domestic economic agents for legitimate transactions is very hard to measure due to currency held by foreign residents and black market transactions. Therefore, money may be measured with a nonstationary error. If the money demand function is stable in the long-run, we have a cointegrating regression when money is measured with a stationary measurement error, but have a spurious regression when money is measured with a nonstationary measurement error. We can still recover structural parameters under certain conditions for the nonstationary measurement error. This paper proposes econometric methods based on asymptotic theory to estimate structural parameters with spurious regressions involving unit root nonstaionary variables.

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Paper provided by Econometric Society in its series Econometric Society 2004 Far Eastern Meetings with number 555.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:feam04:555

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Keywords: Spurious regression GLS correction method

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Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods

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  2. Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation, Yale University. [Downloadable!]
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  3. Cooley, Thomas F & Ogaki, Masao, 1996. "A Time Series Analysis of Real Wages, Consumption, and Asset Returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 119-34, March-Apr. [Downloadable!] (restricted)
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  5. Masao Ogaki & Chi-Young Choi, 2001. "The Gauss-Markov Theorem and Spurious Regressions," Working Papers 01-13, Ohio State University, Department of Economics. [Downloadable!]
  6. Phillips, Peter C B & Loretan, Mico, 1991. "Estimating Long-run Economic Equilibria," Review of Economic Studies, Blackwell Publishing, vol. 58(3), pages 407-36, May. [Downloadable!] (restricted)
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  7. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July. [Downloadable!] (restricted)
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  8. 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. [Downloadable!] (restricted)
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  9. Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 51-78, February. [Downloadable!] (restricted)
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  12. Ogaki, M. & Park, Y.Y., 1989. "A Cointegration Approach To Estimating Preference Parameters," RCER Working Papers 209, University of Rochester - Center for Economic Research (RCER).
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  13. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May. [Downloadable!] (restricted)
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  15. Kakkar, Vikas & Ogaki, Masao, 1999. "Real exchange rates and nontradables: A relative price approach," Journal of Empirical Finance, Elsevier, vol. 6(2), pages 193-215, April. [Downloadable!] (restricted)
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  1. Badi H. Baltagi & Chihwa Kao & Long Liu, 2007. "Asymptotic Properties of Estimators for the Linear Panel Regression Model with Individual Effects and Serially Correlated Errors: The Case of Stationary and Non-Stationary Regressors and Residuals," Center for Policy Research Working Papers 93, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
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