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A Spurious Regression Approach to Estimating Structural Parameters

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  • Masao Ogaki
  • Ling Hu
  • Chi-Young Choi

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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  • Masao Ogaki & Ling Hu & Chi-Young Choi, 2004. "A Spurious Regression Approach to Estimating Structural Parameters," Working Papers 04-01, Ohio State University, Department of Economics.
    • Handle: RePEc:osu:osuewp:04-01
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    References listed on IDEAS

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    Cited by:

    1. Adil, Masudul Hasan & Haider, Salman & Hatekar, Neeraj, 2018. "The empirical verification of money demand in case of India: Post-reform era," MPRA Paper 87148, University Library of Munich, Germany, revised 07 Jun 2018.
    2. Ghulam Ghouse & Saud Ahmad Khan & Atiq Ur Rehman & Muhammad Ishaq Bhatti, 2021. "ARDL as an Elixir Approach to Cure for Spurious Regression in Nonstationary Time Series," Mathematics, MDPI, vol. 9(22), pages 1-15, November.
    3. Ghouse, Ghulam & Khan, Saud Ahmed & Rehman, Atiq Ur, 2018. "ARDL model as a remedy for spurious regression: problems, performance and prospectus," MPRA Paper 83973, University Library of Munich, Germany.
    4. 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.
    5. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.

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    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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