Asymptotic theory for the Cox model with missing time-dependent covariate

DOI10.1214/009053606000000038zbMath1092.62100arXivmath/0607033OpenAlexW4299608008MaRDI QIDQ2497186

Mounir Mesbah, Jean-François Dupuy, I. G. Grama

Publication date: 3 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0607033

zbMATH Keywords

consistencymaximum likelihood estimationsurvival datamissing time-dependent covariatetime-dependent Cox model

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Censored data models (62N01) Estimation in survival analysis and censored data (62N02)

Related Items (10)

Asymptotic theory for relative-risk models with missing time-dependent covariates ⋮ Semiparametric efficient estimation for shared-frailty models with doubly-censored clustered data ⋮ Modeling competing risks with a semi-parametric mixture model ⋮ Comparing crossing hazard rate functions by joint modelling of survival and longitudinal data ⋮ Analysis of a semiparametric mixture model for competing risks ⋮ Estimation of the survival probabilities by adjusting a Cox model to the tail ⋮ A note on variance estimation in the Cox proportional hazards model ⋮ Modeling left-truncated and right-censored survival data with longitudinal covariates ⋮ Estimation of the mean quality-adjusted survival using a multistate model for the sojourn times ⋮ Asymptotic normality of semiparametric estimators in the Cox model with nonignorable missing covariate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cox's regression model for counting processes: A large sample study
• Estimation for a semimartingale regression model using the method of sieves
• Time-dependent coefficients in a Cox-type regression model
• Semiparametric efficient estimation in the generalized odds-rate class of regression models for right-censored time-to-event data
• Consistency in a proportional hazards model incorporating a random effect
• Joint modeling of event time and nonignorable missing longitudinal data
• Asymptotic normality of semiparametric estimators in the Cox model with nonignorable missing covariate
• Asymptotic theory for the frailty model
• Weak convergence and empirical processes. With applications to statistics
• The proportional hazards model with covariate measurement error
• Covariate measurement errors in frailty models for clustered survival data
• A semiparametric estimator for the proportional hazards model with longitudinal covariates measured with error
• Estimation of the Asymptotic Variance of Semiparametric Maximum Likelihood Estimators in the Cox Model with a Missing Time-Dependent Covariate
• Maximum Likelihood Estimation in the Multiplicative Intensity Model: A Survey
• Partial likelihood
• Asymptotic Statistics
• Cox Regression with Incomplete Covariate Measurements
• A Joint Model for Survival and Longitudinal Data Measured with Error
• On using the Cox proportional hazards model with missing covariates
• Proportional Hazards Regression with Missing Covariates
• Evaluating Surrogate Markers of Clinical Outcome When Measured with Error
• Modeling the Relationship of Survival to Longitudinal Data Measured with Error. Applications to Survival and CD4 Counts in Patients with AIDS
• Auxiliary covariate data in failure time regression
• Joint modelling of longitudinal measurements and event time data

This page was built for publication: Asymptotic theory for the Cox model with missing time-dependent covariate