Robust regression and outlier detection
Robust regression and outlier detection
The feasible solution algorithm for least trimmed squares regression
Computational Statistics & Data Analysis
Exact computation of the least trimmed squares estimate in simple linear regression
Computational Statistics & Data Analysis
Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms
Computational Statistics & Data Analysis
Robust regression diagnostics with data transformations
Computational Statistics & Data Analysis
A resistant learning procedure for coping with outliers
Annals of Mathematics and Artificial Intelligence
Robust diagnostics for the heteroscedastic regression model
Computational Statistics & Data Analysis
Environmental Modelling & Software
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Least trimmed squares (LTS) provides a parametric family of high breakdown estimators in regression with better asymptotic properties than least median of squares (LMS) estimators. We adapt the forward search algorithm of Atkinson (1994) to LTS and provide methods for determining the amount of data to be trimmed. We examine the efficiency of different trimming proportions by simulation and demonstrate the increasing efficiency of parameter estimation as larger proportions of data are fitted using the LTS criterion. Some standard data examples are analysed. One shows that LTS provides more stable solutions than LMS.