Shape Constrained Non-parametric Estimators of the Baseline Distribution in Cox Proportional Hazards Model

DOI10.1002/sjos.12008zbMath1364.62242arXiv1110.2345OpenAlexW2128968809MaRDI QIDQ2852631

Gabriela F. Nane, Hendrik P. Lopuhaä

Publication date: 9 October 2013

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2345

zbMATH Keywords

Cox modelBreslow estimatorshape constrained nonparametric maximum likelihood

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Estimation in survival analysis and censored data (62N02)

Related Items (12)

Uniform moment bounds for the standard estimators in the Cox proportional hazard model ⋮ The distance between a naive cumulative estimator and its least concave majorant ⋮ Isotonized smooth estimators of a monotone baseline hazard in the Cox model ⋮ Smooth estimation of a monotone hazard and a monotone density under random censoring ⋮ On the L_p error of the Grenander‐type estimator in the Cox model ⋮ A central limit theorem for the Hellinger loss of Grenander‐type estimators ⋮ Limit theory in monotone function estimation ⋮ The limit distribution of the \(L_{\infty}\)-error of Grenander-type estimators ⋮ Smoothed Isotonic Estimators of a Monotone Baseline Hazard in the Cox Model ⋮ On asymptotic equivalence of the NPMLE of a monotone density and a Grenander-type estimator in multi-sample biased sampling models ⋮ Semiparametric regression with the U-shaped baseline hazard function in the additive hazards model under general censoring mechanisms ⋮ Joint asymptotics for semi-nonparametric regression models with partially linear structure

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