IDEAS home Printed from https://ideas.repec.org/p/scp/wpaper/05-23.html
   My bibliography  Save this paper

Modified Two Stage Least Squares Estimators for the Estimation of a Structural Vector Autoregressive Integrated Process

Author

Listed:
  • Cheng Hsiao
  • Siyan Wang

Abstract

We consider the estimation of a structural vector autoregressive model of nonstationary and possibly cointegrated variables without the prior knowledge of unit roots or rank of cointegration. We propose two modified two stage least squares estimators that are consistent and have limiting distributions that are either normal or mixed normal. Limited Monte Carlo studies are also conducted to evaluate their finite sample properties.

Suggested Citation

  • Cheng Hsiao & Siyan Wang, 2005. "Modified Two Stage Least Squares Estimators for the Estimation of a Structural Vector Autoregressive Integrated Process," IEPR Working Papers 05.23, Institute of Economic Policy Research (IEPR).
    • Handle: RePEc:scp:wpaper:05-23
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Cheng Hsiao, 1997. "Statistical Properties of the Two-Stage Least Squares Estimator Under Cointegration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 385-398.
    2. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-1393, November.
    3. Yamada, Hiroshi & Toda, Hiro Y., 1998. "Inference in possibly integrated vector autoregressive models: some finite sample evidence," Journal of Econometrics, Elsevier, vol. 86(1), pages 55-95, June.
    4. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-1078, September.
    5. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    6. N/A, 1969. "Gaming," Journal of Conflict Resolution, Peace Science Society (International), vol. 13(4), pages 485-486, December.
    7. N/A, 1969. "Gaming," Journal of Conflict Resolution, Peace Science Society (International), vol. 13(1), pages 102-102, March.
    8. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    9. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    10. Hsiao, Cheng, 2001. "Identification And Dichotomization Of Long- And Short-Run Relations Of Cointegrated Vector Autoregressive Models," Econometric Theory, Cambridge University Press, vol. 17(5), pages 889-912, October.
    11. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    12. 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 113-144, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:wyi:journl:002065 is not listed on IDEAS
    2. Choi, In, 2005. "Subsampling vector autoregressive tests of linear constraints," Journal of Econometrics, Elsevier, vol. 124(1), pages 55-89, January.
    3. Ericsson, Neil R & Hendry, David F & Mizon, Grayham E, 1998. "Exogeneity, Cointegration, and Economic Policy Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 370-387, October.
    4. Hsiao, Cheng & Fujiki, Hiroshi, 1998. "Nonstationary Time-Series Modeling versus Structural Equation Modeling: With an Application to Japanese Money Demand," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 16(1), pages 57-79, May.
    5. Judith A. Clarke & Sadaf Mirza, 2003. "Some Finite Sample Results On Testing For Granger Noncausality," Econometrics Working Papers 0305, Department of Economics, University of Victoria.
    6. Matteo Barigozzi & Marco Lippi & Matteo Luciani, 2014. "Dynamic Factor Models, Cointegration and Error Correction Mechanisms," Working Papers ECARES ECARES 2014-14, ULB -- Universite Libre de Bruxelles.
    7. Caporale, Guglielmo Maria & Hassapis, Christis & Pittis, Nikitas, 1998. "Unit roots and long-run causality: investigating the relationship between output, money and interest rates," Economic Modelling, Elsevier, vol. 15(1), pages 91-112, January.
    8. Yao, Feng & Hosoya, Yuzo, 2000. "Inference on one-way effect and evidence in Japanese macroeconomic data," Journal of Econometrics, Elsevier, vol. 98(2), pages 225-255, October.
    9. Peter C.B. Phillips, 1992. "Bayes Methods for Trending Multiple Time Series with an Empirical Application to the US Economy," Cowles Foundation Discussion Papers 1025, Cowles Foundation for Research in Economics, Yale University.
    10. Judith Giles & Cara Williams, 2001. "Export-led growth: a survey of the empirical literature and some non-causality results. Part 2," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 9(4), pages 445-470.
    11. Yamada, Hiroshi & Toda, Hiro Y., 1998. "Inference in possibly integrated vector autoregressive models: some finite sample evidence," Journal of Econometrics, Elsevier, vol. 86(1), pages 55-95, June.
    12. Christophe Kamps, 2005. "The Dynamic Effects of Public Capital: VAR Evidence for 22 OECD Countries," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(4), pages 533-558, August.
    13. Judith Giles & Cara Williams, 2001. "Export-led growth: a survey of the empirical literature and some non-causality results. Part 1," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 9(3), pages 261-337.
    14. Judith A. Giles & Sadaf Mirza, 1999. "Some Pretesting Issues on Testing for Granger Noncausality," Econometrics Working Papers 9914, Department of Economics, University of Victoria.
    15. Judith A. Clarke & Mukesh Ralhan, 2005. "Direct and Indirect Causality Between Exports and Economic Output for Bangladesh and Sri Lanka: Horizon Matters," Econometrics Working Papers 0512, Department of Economics, University of Victoria.
    16. Dufour, Jean-Marie & Pelletier, Denis & Renault, Eric, 2006. "Short run and long run causality in time series: inference," Journal of Econometrics, Elsevier, vol. 132(2), pages 337-362, June.
    17. Catherine Bruneau & Eric Jondeau, 1999. "Long‐run Causality, with an Application to International Links Between Long‐term Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 545-568, November.
    18. Andersson, Björn, 1999. "On the Causality Between Saving and Growth: Long- and Short-Run Dynamics and Country Heterogeneity," Working Paper Series 1999:18, Uppsala University, Department of Economics.
    19. Zhang, Xing-Ping & Cheng, Xiao-Mei, 2009. "Energy consumption, carbon emissions, and economic growth in China," Ecological Economics, Elsevier, vol. 68(10), pages 2706-2712, August.
    20. S Shahnawaz, 2004. "Market Power and Unites States Sectoral Textile Imports," Economic Issues Journal Articles, Economic Issues, vol. 9(2), pages 69-84, September.
    21. Pedro José Pérez Vázquez, 2003. "Fuentes de variabilidad en las principales economías occidentales," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 565-591, September.

    More about this item

    Keywords

    Structural vector autoregression; Unit root; Cointegration; Asymptotic properties; Hypothesis testing;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:scp:wpaper:05-23. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/ieuscus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.