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A note on the breakdown point of the least median of squares and least trimmed squares estimators

Statistics & Probability Letters, 1993
A 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.
openaire   +2 more sources

Adaptive least trimmed squares fuzzy neural network

2012 International conference on Fuzzy Theory and Its Applications (iFUZZY2012), 2012
In 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
openaire   +1 more source

The least trimmed squares. Part III: Asymptotic normality. [PDF]

open access: yesKybernetika, 2006
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
openaire   +3 more sources

Two-stage regression quantiles and two-stage trimmed least squares estimators for structural equation models

Communications in Statistics - Theory and Methods, 1996
Lin-An Chen, Stephen Portnoy
exaly  

Least Trimmed Squares Estimator in the Errors-in-Variables Model

Journal of Applied Statistics, 2007
Kang-Mo Jung
exaly  

Least trimmed squares in nonlinear regression under dependence

Journal of Statistical Planning and Inference, 2006
Pavel Cizek
exaly  

Exact computation of the least trimmed squares estimate in simple linear regression

Computational Statistics and Data Analysis, 1995
Ola Hössjer
exaly  

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