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In survival analysis the random censorship model refers to censoring and survival times being independent of each other. It is one of the fundamental assumptions in the theory of survival analysis. We explain the reason for it being so…

应用统计 · 统计学 2017-03-06 Damjan Krstajic

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

统计理论 · 数学 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

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…

统计方法学 · 统计学 2025-10-30 Morten Overgaard

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,…

统计方法学 · 统计学 2025-06-04 Jing Qin , Jin Piao , Jing Ning , Yu Shen

We propose a method to quantify uncertainty around individual survival distribution estimates using right-censored data, compatible with any survival model. Unlike classical confidence intervals, the survival bands produced by this method…

统计方法学 · 统计学 2025-12-18 Matteo Sesia , Vladimir Svetnik

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

统计方法学 · 统计学 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw

Accurate time-to-event prediction is integral to decision-making, informing medical guidelines, hiring decisions, and resource allocation. Survival analysis, the quantitative framework used to model time-to-event data, accounts for patients…

机器学习 · 计算机科学 2025-08-08 Vincent Jeanselme , Brian Tom , Jessica Barrett

This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function…

统计方法学 · 统计学 2025-04-10 Félix Belzunce , Carolina Martínez-Riquelme , Jaime Valenciano

Survival analysis is a type of semi-supervised ranking task where the target output (the survival time) is often right-censored. Utilizing this information is a challenge because it is not obvious how to correctly incorporate these censored…

机器学习 · 计算机科学 2018-06-12 Margaux Luck , Tristan Sylvain , Joseph Paul Cohen , Heloise Cardinal , Andrea Lodi , Yoshua Bengio

Many epidemiological and clinical studies aim at analyzing a time-to-event endpoint. A common complication is right censoring. In some cases, it arises because subjects are still surviving after the study terminates or move out of the study…

统计方法学 · 统计学 2024-01-10 Andrew Ying

Various assumptions on a right-censoring mechanism to ensure consistency of the Kaplan--Meier and Aalen--Johansen estimators in a competing risks setting are studied. Specifically, eight different assumptions are seen to fall in two…

统计理论 · 数学 2024-12-11 Morten Overgaard , Stefan Nygaard Hansen

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,…

统计方法学 · 统计学 2017-10-04 Pedro H. C. Sant'Anna

The heterogeneous treatment effect plays a crucial role in precision medicine.There is evidence that real-world data, even subject to biases, can be employed as supplementary evidence for randomized clinical trials to improve the…

统计方法学 · 统计学 2025-09-04 Guangcai Mao , Shu Yang , Xiaofei Wang

In the presence of right-censored data with covariates, the conditional Kaplan-Meier estimator (also known as the Beran estimator) consistently estimates the conditional survival function of the random follow-up for the event of interest.…

机器学习 · 统计学 2023-09-15 Mikael Escobar-Bach , Olivier Goudet

In this paper we test the composite hypothesis that lifetimes follow an exponential distribution based on observed randomly right censored data. Testing this hypothesis is complicated by the presence of this censoring, due to the fact that…

统计方法学 · 统计学 2020-11-10 E. Bothma , J. S. Allison , M. Cockeran , I. J. H. Visagie

This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

统计理论 · 数学 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

There is a surge in medical follow-up studies that include longitudinal covariates in the modeling of survival data. So far, the focus has been largely on right-censored survival data. We consider survival data that are subject to both left…

统计理论 · 数学 2012-09-25 Yu-Ru Su , Jane-Ling Wang

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…

统计理论 · 数学 2007-06-13 Donglin Zeng

Existing survival analysis techniques heavily rely on strong modelling assumptions and are, therefore, prone to model misspecification errors. In this paper, we develop an inferential method based on ideas from conformal prediction, which…

统计方法学 · 统计学 2023-04-25 Emmanuel J. Candès , Lihua Lei , Zhimei Ren

Conventional survival metrics, such as Harrell's concordance index (CI) and the Brier Score, rely on the independent censoring assumption for valid inference with right-censored data. However, in the presence of so-called dependent…

机器学习 · 统计学 2025-05-20 Christian Marius Lillelund , Shi-ang Qi , Russell Greiner
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