English

Results on standard estimators in the Cox model

Statistics Theory 2020-02-20 v2 Statistics Theory

Abstract

We consider the Cox regression model and prove some properties of the maximum partial likelihood estimator β^n\hat\beta_n and of the the Breslow estimator Λn\Lambda_n. The asymptotic properties of these estimators have been widely studied in the literature but we are not aware of a reference where it is shown that they have uniformly bounded moments. These results are needed, for example, when studying global errors of shape restricted estimators of the baseline hazard function.

Keywords

Cite

@article{arxiv.1908.07456,
  title  = {Results on standard estimators in the Cox model},
  author = {Cécile Durot and Eni Musta},
  journal= {arXiv preprint arXiv:1908.07456},
  year   = {2020}
}
R2 v1 2026-06-23T10:52:24.213Z