Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2004-05-27 Number: 04-056/4 Author-Name: Agnes S. Joseph Author-Email: firstname.lastname@example.org Author-Workplace-Name: Faculty of Economics and Econometrics, Universiteit van Amsterdam Author-Name: Jan F. Kiviet Author-Email: email@example.com Author-Workplace-Name: Faculty of Economics and Econometrics, Universiteit van Amsterdam Title: Viewing the Relative Efficiency of IV Estimators in Models with Lagged and Instantaneous Feedbacks Abstract: This discussion paper led to a publication in 'Computational Statistics & Data Analysis', 49(2), 417-44.
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. Classification-JEL: C13; C32; C51 Keywords: asymptotic efficiency comparisons; computational visualization; dynamic simultaneous models; instrument weakness File-Url: http://papers.tinbergen.nl/04056.pdf File-Format: application/pdf File-Size: 1161147 bytes Handle: RePEc:tin:wpaper:20040056