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A note on the breakdown point of the least median of squares and least trimmed squares estimators
Statistics & Probability Letters, 1993A notion of d-fullness is introduced to study a robust extension of the maximum likelihood principle. Some results about the breakdown point of existing robust estimators follow.
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Adaptive least trimmed squares fuzzy neural network
2012 International conference on Fuzzy Theory and Its Applications (iFUZZY2012), 2012In this paper, we propose the adaptive least trimmed squares fuzzy neural network (ALTS-FNN), which applies the scale estimate to the least trimmed squares fuzzy neural network (LTS-FNN). The emphasis of this paper is particular on the robustness against the outliers and the choice of the trimming constant can be determined adaptively.
Jyh-Yeong Chang +2 more
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The least trimmed squares. Part III: Asymptotic normality. [PDF]
summary:Asymptotic normality of the least trimmed squares estimator is proved under general conditions. At the end of paper a discussion of applicability of the estimator (including the discussion of algorithm for its evaluation) is ...
Víšek, Jan Ámos
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Least Trimmed Squares Estimator in the Errors-in-Variables Model
Journal of Applied Statistics, 2007Kang-Mo Jung
exaly
Least trimmed squares in nonlinear regression under dependence
Journal of Statistical Planning and Inference, 2006Pavel Cizek
exaly
Exact computation of the least trimmed squares estimate in simple linear regression
Computational Statistics and Data Analysis, 1995Ola Hössjer
exaly
Outlier-Robust Learning with Continuously Differentiable Least Trimmed Squares
Pattern RecognitionLei Xing +3 more
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