The least trimmed squares. Part I: Consistency
Kybernetika, Tome 42 (2006) no. 1, pp. 1-36.

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The consistency of the least trimmed squares estimator (see Rousseeuw [Rous] or Hampel et al. [HamRonRouSta]) is proved under general conditions. The assumptions employed in paper are discussed in details to clarify the consequences for the applications.
Classification : 62F12, 62F35, 62F40, 62J05
Keywords: robust regression; the least trimmed squares; consistency; discussion of assumptions and of algorithm for evaluation of estimator
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     author = {V{\'\i}\v{s}ek, Jan \'Amos},
     title = {The least trimmed squares. {Part} {I:} {Consistency}},
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     zbl = {1248.62033},
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Víšek, Jan Ámos. The least trimmed squares. Part I: Consistency. Kybernetika, Tome 42 (2006) no. 1, pp. 1-36. http://geodesic.mathdoc.fr/item/KYB_2006__42_1_a0/