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Viewing the Relative Efficiency of IV Estimators in Models with Lagged and Instantaneous Feedbacks

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Author Info
Agnes S. Joseph () (Faculty of Economics and Econometrics, Universiteit van Amsterdam)
Jan F. Kiviet () (Faculty of Economics and Econometrics, Universiteit van Amsterdam)

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Abstract

We examine the asymptotic efficiency of OLS and IV estimators in a simple dynamic structural model with a constant and two explanatory variables: the lagged dependent variable and an explanatory variable, which is also autoregressive and may include lagged or instantaneous feedbacks from the dependent variable. The parameter values are such that all variables are stationary. We express the asymptotic efficiency of OLS and various IV estimators via the moments of the data series in the model parameters. Various computational and graphical aids are employed to examine and illustrate the relationships between parameter values, instrument weakness, and estimator efficiency. Symbolic computer algebra and image sequences are used in animations to identify regions in the parameter space where consistent IV estimators may be less efficient than inconsistent OLS estimators, upon comparing the asymptotic approximation to their mean squared errors.

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Publisher Info
Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 04-056/4.

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Date of creation: 27 May 2004
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Handle: RePEc:dgr:uvatin:20040056

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Web page: http://www.tinbergen.nl/

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Related research
Keywords: asymptotic efficiency comparisons computational visualization dynamic simultaneous models instrument weakness

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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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. D.S. Poskitt & C.L. Skeels, 2002. "Assessing Instrumental Variable Relevance:An Alternative Measure and Some Exact Finite Sample Theory," Department of Economics - Working Papers Series 862, The University of Melbourne. [Downloadable!]
  2. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
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  3. Evans, Martin D. D. & Lyons, Richard K., 2002. "Time-varying liquidity in foreign exchange," Journal of Monetary Economics, Elsevier, vol. 49(5), pages 1025-1051, July. [Downloadable!] (restricted)
  4. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August. [Downloadable!] (restricted)
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  5. West, Kenneth D & Wilcox, David W, 1996. "A Comparison of Alternative Instrumental Variables Estimators of a Dynamic Linear Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 281-93, July.
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  6. Jiahui Wang & Eric Zivot, 1998. "Inference on Structural Parameters in Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 66(6), pages 1389-1404, November.
  7. Ferson, Wayne E. & Foerster, Stephen R., 1994. "Finite sample properties of the generalized method of moments in tests of conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 36(1), pages 29-55, August. [Downloadable!] (restricted)
  8. Belsley, David A., 1982. "Assessing the presence of harmful collinearity and other forms of weak data through a test for signal-to-noise," Journal of Econometrics, Elsevier, vol. 20(2), pages 211-253, November. [Downloadable!] (restricted)
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  1. Jan F. Kiviet & Jerzy Niemczyk, 2006. "The Asymptotic and Finite Sample Distributions of OLS and Simple IV in Simultaneous Equations," Tinbergen Institute Discussion Papers 06-078/4, Tinbergen Institute. [Downloadable!]
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