Penalized variable selection procedure for Cox models with semiparametric relative risk

DOI10.1214/09-AOS780zbMath1202.62132arXiv1010.3855OpenAlexW1976248673WikidataQ42475452 ScholiaQ42475452MaRDI QIDQ987999

Hua Liang, Pang Du, Shuangge Ma

Publication date: 24 August 2010

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3855

zbMATH Keywords

proportional hazardspartially linear modelsbackfittingpenalized partial likelihoodsmoothing spline ANOVApenalized variable selection

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Censored data models (62N01) Analysis of variance and covariance (ANOVA) (62J10) Estimation in survival analysis and censored data (62N02) Testing in survival analysis and censored data (62N03)

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Uses Software

• gss

Cites Work

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• The Adaptive Lasso and Its Oracle Properties
• Cox's regression model for counting processes: A large sample study
• Component selection and smoothing in multivariate nonparametric regression
• Nonparametric survival analysis with time-dependent covariate effects: A penalized partial likelihood approach
• One-step sparse estimates in nonconcave penalized likelihood models
• Heuristics of instability and stabilization in model selection
• Survival analysis. Techniques for censored and truncated data
• Local likelihood and local partial likelihood in hazard regression
• Efficient estimation of the partly linear additive Cox model
• Functional ANOVA modeling for proportional hazards regression.
• Variable selection for Cox's proportional hazards model and frailty model
• Least angle regression. (With discussion)
• Weak convergence and empirical processes. With applications to statistics
• Nonparametric estimation in the Cox model
• On the ``degrees of freedom of the lasso
• Partially Linear Additive Hazards Regression With Varying Coefficients
• Polynomial Spline Estimation and Inference of Proportional Hazards Regression Models with Flexible Relative Risk Form
• Variable Selection in Semiparametric Linear Regression with Censored Data
• A note on path-based variable selection in the penalized proportional hazards model
• Penalized Estimating Functions and Variable Selection in Semiparametric Regression Models
• The Bayesian Lasso
• The Asymptotic Variance of Semiparametric Estimators
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• On Profile Likelihood
• Smoothing Spline Gaussian Regression: More Scalable Computation via Efficient Approximation
• Model selection in nonparametric hazard regression
• Partially Linear Hazard Regression for Multivariate Survival Data
• Variable selection for multivariate failure time data
• Smoothing spline ANOVA models