High breakdown point robust regression with censored data

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  1. Department of Statistics
  2. High breakdown point robust regression with censored data

High breakdown point robust regression with censored data

TitleHigh breakdown point robust regression with censored data
Publication TypeJournal Article
Year of Publication2008
AuthorsSalibian-Barrera, M, Yohai, VJ
JournalANNALS OF STATISTICS
Volume36
Pagination118-146
Date PublishedFEB
Type of ArticleArticle
ISSN0090-5364
Keywordsaccelerated failure time models, censored data, high breakdown point estimates, linear regression model, robust estimates
AbstractIn this paper, we propose a class of high breakdown point estimators for the linear regression model when the response variable contains censored observations. These estimators are robust against high-leverage outliers and they generalize the LMS (least median of squares), S, MM and tau-estimators for linear regression. An important contribution of this paper is that we can define consistent estimators using a bounded loss function (or equivalently, a re-descending score function). Since the calculation of these estimators can be computationally costly, we propose an efficient algorithm to compute them. We illustrate their use on an example and present simulation studies that show that these estimators also have good finite sample properties.
DOI10.1214/009053607000000794