## Abstract We propose a robust Cox regression model with outliers. The model is fit by trimming the smallest contributions to the partial likelihood. To do so, we implement a Metropolis‐type maximization routine, and show its convergence to a global optimum. We discuss global robustness properties
A Nonrecursive Estimator for the Cox Model
✍ Scribed by DOZ. Dr. rer . Nat. habil Hendrik Schäbe
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 413 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0323-3847
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✦ Synopsis
Abstract
The Cox regression model is one of the most widely used models to incorporate covariates. The frequently used partial likelihood estimator of the regression parameter has to be computed iteratively. In this paper we propose a noniterative estimator for the regression parameter and show that under certain conditions it dominates another noniterative estimator derived by Kalbfleish and Prentice. The new estimator is demonstrated on lifetime data of rats having been subject to insult with a carcinogen.
📜 SIMILAR VOLUMES
Modelling of physical processes always involves approximations. This undermodelling, coupled with noisy process data, results in biased frequency response estimates of models. The bias error cannot be eliminated, but can be distributed over frequencies by careful design of the estimator. This paper