Asymptotic Representation Of The Instrumental Weighted Variables - Theory And Practice: Part I - deriving the formula for the asymptotic representation.

<p>The  robust version of the classical  instrumental variables, called Instrumental Weighted Variables (IWV) and the conditions for its consistency and $\sqrt{n}$-consistency  are recalled. The reasons  why the classical instrumental variables as well as  IWV were introduced and the idea of implicit weighting the residuals are also very briefly recalled.  Then asymptotic representation and normality  of all solutions of the corresponding normal equations is proved. Part II - numerical studies offers a possibility to create an idea how the asymptotic representation works under various frameworks.<span style="font-family: CMBX12; font-size: 12pt;"> </span>