| Title | High breakdown point robust regression with censored data |
| Publication Type | Journal Article |
| Year of Publication | 2008 |
| Authors | Salibian-Barrera, M, Yohai, VJ |
| Journal | ANNALS OF STATISTICS |
| Volume | 36 |
| Pagination | 118-146 |
| Date Published | FEB |
| Type of Article | Article |
| ISSN | 0090-5364 |
| Keywords | accelerated failure time models, censored data, high breakdown point estimates, linear regression model, robust estimates |
| Abstract | 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 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. |
| DOI | 10.1214/009053607000000794 |
