High breakdown point robust regression with censored data

Details High breakdown point robust regression with censored data High breakdown point robust regression with censored data

2008-03-12

arxiv.org/abs/0803.1736v1

Annals of Statistics 2008, Vol. 36, No. 1, 118-146

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/009053607000000794 the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053607000000794

In 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 redescending 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.

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