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A one-step robust estimator for regression based on the weighted likelihood reweighting scheme

✍ Scribed by Claudio Agostinelli; Marianthi Markatou


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
637 KB
Volume
37
Category
Article
ISSN
0167-7152

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✦ Synopsis


We propose a one-step estimator for the vector of regression and error-scale parameters in a linear regression model. The estimator is asymptotically normal and fully efficient. Given appropriate initial values it achieves very low bias and high breakdown point. (~


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## 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