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We develop a constructive approach for $\ell_0$-penalized estimation in the sparse accelerated failure time (AFT) model with high-dimensional covariates. Our proposed method is based on Stute's weighted least squares criterion combined with…

Methodology · Statistics 2020-02-11 Xingdong Feng , Jian Huang , Yuling Jiao , Shuang Zhang

Our objective is to construct well-calibrated prediction sets for a time-to-event outcome subject to right-censoring with guaranteed coverage. Inspired by modern conformal inference, our approach avoids the need for a well-specified…

Methodology · Statistics 2026-01-27 Rebecca Farina , Eric J. Tchetgen Tchetgen , Arun Kumar Kuchibhotla

Structural failure time models are causal models for estimating the effect of time-varying treatments on a survival outcome. G-estimation and artificial censoring have been proposed to estimate the model parameters in the presence of…

Methodology · Statistics 2019-02-19 Shu Yang , Karen Pieper , Frank Cools

Survival analysis is a fundamental area of focus in biomedical research, particularly in the context of personalized medicine. This prominence is due to the increasing prevalence of large and high-dimensional datasets, such as omics and…

Machine Learning · Statistics 2024-08-23 Carlos García Meixide , Marcos Matabuena , Louis Abraham , Michael R. Kosorok

Survival analysis is a statistical technique used to estimate the time until an event occurs. Although it is applied across a wide range of fields, adjusting for reporting delays under practical constraints remains a significant challenge…

Machine Learning · Statistics 2025-10-27 Yuta Shikuri , Hironori Fujisawa

This paper introduces an assumption-lean method that constructs valid and efficient lower predictive bounds (LPBs) for survival times with censored data. We build on recent work by Cand\`es et al. (2021), whose approach first subsets the…

Methodology · Statistics 2023-11-08 Yu Gui , Rohan Hore , Zhimei Ren , Rina Foygel Barber

The distribution-free method of conformal prediction (Vovk et al, 2005) has gained considerable attention in computer science, machine learning, and statistics. Candes et al. (2023) extended this method to right-censored survival data,…

Methodology · Statistics 2025-06-04 Jing Qin , Jin Piao , Jing Ning , Yu Shen

Across health applications, researchers model outcomes as a function of time to an event, but the event time is right-censored for participants who exit the study or otherwise do not experience the event during follow-up. When censoring…

Methodology · Statistics 2025-11-21 Jesus E. Vazquez , Yanyuan Ma , Karen Marder , Tanya P. Garcia

In a unified framework, we provide estimators and confidence bands for a variety of treatment effects when the outcome of interest, typically a duration, is subjected to right censoring. Our methodology accommodates average, distributional,…

Methodology · Statistics 2017-10-04 Pedro H. C. Sant'Anna

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

Methodology · Statistics 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

Accelerated failure time (AFT) models are used widely in medical research, though to a much lesser extent than proportional hazards models. In an AFT model, the effect of covariates act to accelerate or decelerate the time to event of…

Methodology · Statistics 2020-06-15 Michael J. Crowther , Patrick Royston , Mark Clements

We are interested in the estimation of average treatment effects based on right-censored data of an observational study. We focus on causal inference of differences between t-year absolute event risks in a situation with competing risks. We…

Weighting with the inverse probability of censoring is an approach to deal with censoring in regression analyses where the outcome may be missing due to right-censoring. In this paper, three separate approaches involving this idea in a…

Methodology · Statistics 2025-10-30 Morten Overgaard

Semiparametric accelerated failure time (AFT) models are a useful alternative to Cox proportional hazards models, especially when the assumption of constant hazard ratios is untenable. However, rank-based criteria for fitting AFT models are…

Methodology · Statistics 2022-01-20 Piotr M. Suder , Aaron J. Molstad

The restricted mean survival time (RMST) difference offers an interpretable causal contrast to estimate the treatment effect for time-to-event outcomes, yet a wide range of available estimators leaves limited guidance for practice. We…

Methodology · Statistics 2026-03-02 Charlotte Voinot , Clément Berenfeld , Imke Mayer , Bernard Sebastien , Julie Josse

This paper presents a unified rank-based inferential procedure for fitting the accelerated failure time model to partially interval-censored data. A Gehan-type monotone estimating function is constructed based on the idea of the familiar…

Methodology · Statistics 2026-04-14 Taehwa Choi , Sangbum Choi , Dipankar Bandyopadhyay

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

Computation · Statistics 2012-03-20 Chanseok Park , Seong Beom Lee

The instability in the selection of models is a major concern with data sets containing a large number of covariates. We focus on stability selection which is used as a technique to improve variable selection performance for a range of…

Methodology · Statistics 2016-04-26 Md Hasinur Rahaman Khan , Anamika Bhadra , Tamanna Howlader

One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

For survival data with high-dimensional covariates, results generated in the analysis of a single dataset are often unsatisfactory because of the small sample size. Integrative analysis pools raw data from multiple independent studies with…

Methodology · Statistics 2015-01-13 Qingzhao Zhang , Sanguo Zhang , Jin Liu , Jian Huang , Shuangge Ma