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The Instrumental Weighted Variables. Part III. Asymptotic Representation

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Author Info
Jan Ámos Víšek () (Institute of Economic Studies, Faculty of Social Sciences, Charles University, Prague, Czech Republic)
Abstract

The robust version of the classical instrumental variables, called Instrumental Weighted Variables (IWV) and the conditions for its square root of n-consistency as given in the Part I and II of this paper are recalled. Of course, the reasons why the classical instrumental variables as well as IWV were introduced and the idea of implicit weighting the residuals (firstly employed by the Least Weighted Squares, see Víšek (2000)) are also very briefly recalled (details were discussed in Part I of this paper). Then asymptotic representation and normality of all solutions of the corresponding normal equations is proved.

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Paper provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its series Working Papers IES with number 2007/07.

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Length: 38 pages
Date of creation: Jan 2007
Date of revision: Jan 2007
Handle: RePEc:fau:wpaper:wp2007_07

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Keywords: Robustness instrumental variables implicit weighting square root of n-consistency of estimate by means of instrumental weighted variables asymptotic representation of the estimate and its normality

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  1. Wadim Strielkowski, 2006. "People of the Road: the Role of Ethnic Origin in Migration Decisions. A Study of Slovak Roma Asylum-Seekers in the Czech Republic in 1998-2006," Working Papers IES 2006/32, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Dec 2006. [Downloadable!]
  2. Roman Horváth, 2007. "Estimating Time-Varying Policy Neutral Rate in Real Time," Working Papers IES 2007/01, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jan 2007. [Downloadable!]
  3. Jarko Fidrmuc & Roman Horváth, 2006. "Credibility of Exchange Rate Policies in Selected EU New Members: Evidence from High Frequency Data," Working Papers IES 2006/28, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Oct 2006. [Downloadable!]
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