## Detail publikace

### Víšek, J. Á. : Asymptotic representation of the instrumentl weighted variables - theory and pracrice. Part I - deriving the formula for the asymptotic representation

Autor: prof. RNDr. Jan Ámos Víšek CSc., Články v recenzovaných časopisech 2014 0 2336-2782 Bulletin of the Czech Econometric Society 21(32), 1 - 47. Prague Robustness, instrumental variables, implicit weighting, $\sqrt{n}$-consistency of estimate by instrumental weighted variables, asymptotic representation of the estimate, numerical study. GAČR 13-01930S Robustní procedury pro nestandardní situace, jejich diagnostika a implementace 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.