Geodesic
The least trimmed squares. Part II: $\sqrt{n}$-consistency
Kybernetika, Tome 42 (2006) no. 2, pp. 181-202.

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$\sqrt{n}$-consistency of the least trimmed squares estimator is proved under general conditions. The proof is based on deriving the asymptotic linearity of normal equations.
Classification : 62F12, 62F35, 62F40, 62J05
Keywords: robust regression; the least trimmed squares; $\sqrt{n}$-consistency; asymptotic normality 
@article{KYB_2006__42_2_a4,
     author = {V{\'\i}\v{s}ek, Jan \'Amos},
     title = {The least trimmed squares. {Part} {II:} $\sqrt{n}$-consistency},
     journal = {Kybernetika},
     pages = {181--202},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2006},
     mrnumber = {2241784},
     zbl = {1248.62034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_2_a4/}
}
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Víšek, Jan Ámos. The least trimmed squares. Part II: $\sqrt{n}$-consistency. Kybernetika, Tome 42 (2006) no. 2, pp. 181-202. http://geodesic.mathdoc.fr/item/KYB_2006__42_2_a4/