## Publication detail

### Víšek, J. Á. : Root-n-consistency of the instrumental weighted variables

Author(s): prof. RNDr. Jan Ámos Víšek CSc., Article in collection 2009 0 978-80-250-1965-8 Proceedings of the conference Statistics: Investment in the Future, 1 - 15 Prague root-n-consistency, robustification of instrumental variables The definition of Instrumental Weighted Variables (IWV) (which is a robust version of the classical Instrumental Variables) and conditions for the weak consistency as given in V\'{\i}\v{s}ek (2009) are recalled. The reasons why the classical Instrumental Variables were introduced as well as the idea of weighting the order statistics of squared residuals (rather than directly the squared residual - firstly employed by the Least Weighted Squares, see V\'{\i}\v{s}ek (2000)) are also recalled. Then $\sqrt{n}$-consistency of all solutions of the corresponding normal equations is proved.