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Instrumental weighted variables under heteroscedasticity, Part I -- Consistency

Instrumental weighted variables under heteroscedasticity, Part I -- Consistency

The proof of consistency instrumental weighted variables, the robust version of the classical instrumental variables is given.It is proved that all solutions of the corresponding normal equations are contained, with high probability, in a ball, the radius of which can be selectedasymptotically -arbitrarily small.Then also √ n-consistency is proved.An extended …