Cox's regression model for counting processes: A large sample study

DOI10.1214/aos/1176345976zbMath0526.62026OpenAlexW1986705681WikidataQ56873132 ScholiaQ56873132MaRDI QIDQ594499

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aos/1176345976

zbMATH Keywords

asymptotic normality survival analysis martingale censoring Cox regression model multivariate counting process time dependent covariates

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Inference from stochastic processes (62M99)

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accelerated failure time model under two-stage generalized case–cohort design, Regression analysis of case II interval-censored data with auxiliary covariates, A flexible additive-multiplicative transformation mean model for recurrent event data, Semiparametric mean model with non linear time effect of the covariate for clustered recurrent events with terminal events, Generalized method of moment for case-cohort under additive hazards model, Variable selection with group LASSO approach: Application to Cox regression with frailty model, Analysis of dependently truncated data in Cox framework, Statistical inference for generalized case-cohort design under the proportional hazards model with parameter constraints, Generalized case-cohort analysis for constrained estimation in the Cox’s model, Modeling bivariate geyser eruption system with covariate-adjusted recurrent event process, Targeted Inference Involving High-Dimensional Data Using Nuisance Penalized Regression, Estimation for the Cox model with biased sampling data via risk set sampling, Statistical inference for Cox proportional hazards models with a diverging number of covariates, On the estimation of hazard rate in mixed populations with its application, Improved Semiparametric Estimation of the Proportional Rate Model with Recurrent Event Data, SMIM: A unified framework of survival sensitivity analysis using multiple imputation and martingale, Gene-environment interaction analysis under the Cox model, Life history analysis with multistate models: A review and some current issues, Variable selection for proportional hazards models with high‐dimensional covariates subject to measurement error, Mixed‐effects models for health care longitudinal data with an informative visiting process: A Monte Carlo simulation study, On the L_p error of the Grenander‐type estimator in the Cox model, Restricted survival benefit with right‐censored data, Using marginal structural joint models to estimate the effect of a time‐varying treatment on recurrent events and survival: An application on arrhythmogenic cardiomyopathy, Distributional hyperspace-convergence of Argmin-sets in convex 𝑀-estimation, Kernel regression for cause-specific hazard models with nonparametric covariate functions, Variance estimation in inverse probability weighted Cox models, Analysis of clustered interval‐censored data using a class of semiparametric partly linear frailty transformation models, Semiparametric Additive Time-Varying Coefficients Model for Longitudinal Data with Censored Time Origin, Bayesian regularization for flexible baseline hazard functions in Cox survival models, Functional modeling of recurrent events on time‐to‐event processes, Cox (1972): recollections and reflections, Analyzing wearable device data using marked point processes, Fitting semiparametric accelerated failure time models for nested case–control data, Hazards regression for freemium products and services: a competing risks approach, Joint modeling of generalized scale-change models for recurrent event and failure time data, Analysis and asymptotic theory for nested case-control designs under highly stratified proportional hazards models, Cox regression can be collapsible and aalen regression can be non-collapsible, Bayesian Cox regression for large-scale inference with applications to electronic health records, Local composite partial likelihood estimation for length-biased and right-censored data, Adaptive bridge estimator for Cox model with a diverging number of parameters, Prediction of sports injuries in football: a recurrent time-to-event approach using regularized Cox models, Bayesian approach for proportional hazards mixture cure model allowing non-curable competing risk, Case-cohort and inference for the proportional hazards model with covariate adjustment, An asymptotic result of conditional logistic regression estimator, Semiparametric model averaging method for survival probability predictions of patients, Semiparametric model for recurrent event data under two independent competing risks with excess zero and informative censoring, Debiased Lasso for stratified Cox models with application to the national kidney transplant data, Statistical inference for case-cohort design under the additive hazards model with covariate adjustment, Survival Analysis via Ordinary Differential Equations, The Cox–Aalen model for recurrent‐event data with a dependent terminal event, Fifty years with the Cox proportional hazards regression model, Nonparametric estimation of the distribution of gap times for recurrent events, On a simple estimation of the proportional odds model under right truncation, Combined estimating equation approaches for the additive hazards model with left-truncated and interval-censored data, AN EXTENSION OF GENERALIZED BAYESIAN ENSEMBLE TREE MODELS TO SURVIVAL ANALYSIS, On the maximum penalized full likelihood approach for Cox model with extreme value for heavily censored survival data, Synthesizing secondary data into survival analysis to improve estimation efficiency, Bayesian empirical analysis of the proportional hazards model for right-censored failure time data, Unnamed Item, Efficient estimation of the maximal association between multiple predictors and a survival outcome, Causal survival analysis under competing risks using longitudinal modified treatment policies, Assessing model prediction performance for the expected cumulative number of recurrent events, A NEW MULTILEVEL MODELING APPROACH FOR CLUSTERED SURVIVAL DATA, Regularity in individual shopping trips: implications for duration models in marketing, Confidence bands for the difference of two survival functions under the additive risk model, Semiparametric Regression Analysis of Panel Count Data: A Practical Review, Bivariate pseudo-observations for recurrent event analysis with terminal events, Unnamed Item, A joint modelling approach for clustered recurrent events and death events, Additive hazards model with truncated and doubly censored data, A class of tests of proportional hazards assumption for left-truncated and right-censored data, Unnamed Item, Unnamed Item, Evaluating the influence of crashes on driving risk using recurrent event models and Naturalistic Driving Study data, Lasso-type estimation for covariate-adjusted linear model, Estimation of partly linear additive hazards model with left-truncated and right-censored data, High-Dimensional Sparse Additive Hazards Regression, A Note on Using Regression Models to Analyze Randomized Trials: Asymptotically Valid Hypothesis Tests Despite Incorrectly Specified Models, Performance and Prediction for Varying Survival Time Scales, Baseline age effect on parameter estimates in Cox models, A. R.²type measure of dependence for proportional hazards models, Unnamed Item, Feature screening in ultrahigh-dimensional additive Cox model, Nonparametric Maximum Likelihood Estimators of Time-Dependent Accuracy Measures for Survival Outcome Under Two-Stage Sampling Designs, Proportional Hazards Model With Covariate Measurement Error and Instrumental Variables, Evaluating Incremental Values from New Predictors with Net Reclassification Improvement in Survival Analysis, Local asymptotic inference for nonparametric regression with censored survival data, Recurrent Events Analysis With Data Collected at Informative Clinical Visits in Electronic Health Records, Survival Regression Models With Dependent Bayesian Nonparametric Priors, Randomization Tests in Observational Studies With Staggered Adoption of Treatment, Survival model construction guided by fit and predictive strength, Multiple imputation methods for recurrent event data with missing event category, Estimating the average treatment effect on survival based on observational data and using partly conditional modeling, Semiparametric Inference for the Functional Cox Model, Regression Models and Multivariate Life Tables, Cox proportional hazards models with left truncation and time‐varying coefficient: Application of age at event as outcome in cohort studies, Frailty modelling for multitype recurrent events in clinical trials, Stochastic calculus as a tool in survival analysis: A review, Stochastic calculus as a tool in survival analysis: A review, Nonparametric Estimation of the Bivariate Recurrence Time Distribution, Resampling Procedures for Making Inference Under Nested Case–Control Studies, Robust Tests for Treatment Effects Based on Censored Recurrent Event Data Observed over Multiple Periods, Methods for the Analysis of CCRC Data, Inference for proportional hazard model with propensity score, A Simulation Study Comparing Modeling Approaches in an Illness-Death Multi-State Model, Penalized and Shrinkage Estimation in the Cox Proportional Hazards Model, Auxiliary covariate in additive hazards regression for survival data, Using the whole cohort in the analysis of countermatched samples, Semiparametric methods to contrast gap time survival functions: Application to repeat kidney transplantation, Mediation analysis for survival data using semiparametric probit models, Exponential family models and statistical genetics, Estimation of covariate-dependent Markov transition probabilities from nested case-control data, Regression Analysis of Current Status Data Under the Additive Hazards Model with Auxiliary Covariates, Regression Modeling of Semicompeting Risks Data, Asymptotics for homogeneity tests based on a multivariate random effects proportional hazards model, Marginal Analysis of Correlated Failure Time Data with Informative Cluster Sizes, A kernel smoothed semiparametric survival model, Standard errors for the Cox proportional hazard cure model, Local likelihood with time‐varying additive hazards model, Parameter estimation in regression for long-term survival rate from censored data, Fitting a Semi-Parametric Mixture Model for Competing Risks in Survival Data, A Cox-type regression model with change-points in the covariates, A class of accelerated means regression models for recurrent event data, Identifying Nonproportional Covariates in the Cox Model, Generating data from improper distributions: application to Cox proportional hazards models with cure, Joint models for multiple longitudinal processes and time-to-event outcome, Regression analysis of mixed sparse synchronous and asynchronous longitudinal covariates with varying-coefficient models, Unnamed Item, Two‐stage estimation for multivariate recurrent event data with a dependent terminal event, Estimated Pseudopartial‐Likelihood Method for Correlated Failure Time Data with Auxiliary Covariates, Estimation of the hazard function in a semiparametric model with covariate measurement error, Econometric models of duration data in entrepreneurship with an application to start-ups' time-to-funding by venture capitalists (VCs), Semiparametric inference for the recurrent events process by means of a single-index model, Full likelihood inference in the Cox model with LTRC data when covariates are discrete, Generalized case-cohort and inference for Cox’s model with parameter constraints, On the Mean Value Theorem for Estimating Functions, Estimation of the Benchmark Dose for Right-Censored Lifetime Data, The Exponential-Poisson Regression Model for Recurrent Events: A Bayesian Approach, Inference for probability of selection with dependently truncated data using a Cox model