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Although the independent censoring assumption is commonly used in survival analysis, it can be violated when the censoring time is related to the survival time, which often happens in many practical applications. To address this issue, we…

统计方法学 · 统计学 2024-08-28 Huazhen Yu , Lixin Zhang

Consider a survival time T that is subject to random right censoring, and suppose that T is stochastically dependent on the censoring time C. We are interested in the marginal distribution of T. This situation is often encountered in…

统计方法学 · 统计学 2021-04-15 Claudia Czado , Ingrid Van Keilegom

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

机器学习 · 计算机科学 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

Censoring is the central problem in survival analysis where either the time-to-event (for instance, death), or the time-tocensoring (such as loss of follow-up) is observed for each sample. The majority of existing machine learning-based…

机器学习 · 统计学 2024-07-22 Weijia Zhang , Chun Kai Ling , Xuanhui Zhang

In dependently censored survival data, the usual assumption of independent censoring or an incorrect specification of the correlation between the event and censoring times can bias marginal survival inference. Likelihood-based estimation of…

统计方法学 · 统计学 2026-04-07 Hyun-Soo Zhang , Inkyung Jung , Chung Mo Nam

In this paper we consider a time-to-event variable $T$ that is subject to random right censoring, and we assume that the censoring time $C$ is stochastically dependent on $T$ and that there is a positive probability of not observing the…

统计方法学 · 统计学 2024-03-14 Morine Delhelle , Ingrid Van Keilegom

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

In medical and biological research, longitudinal data and survival data types are commonly seen. Traditional statistical models mostly consider to deal with either of the data types, such as linear mixed models for longitudinal data, and…

统计方法学 · 统计学 2021-07-12 Jizi Shangguan

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

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

We present a conformal inference method for constructing lower prediction bounds for survival times from right-censored data, extending recent approaches designed for more restrictive type-I censoring scenarios. The proposed method imputes…

统计方法学 · 统计学 2025-05-26 Matteo Sesia , Vladimir Svetnik

For right censored survival data, it is well known that the mean survival time can be consistently estimated when the support of the censoring time contains the support of the survival time. In practice, however, this condition can be…

统计理论 · 数学 2013-08-01 Ying Ding , Bin Nan

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

The study of survival data often requires taking proper care of the censoring mechanism that prohibits complete observation of the data. Under right censoring, only the first occurring event is observed: either the event of interest, or a…

统计理论 · 数学 2025-03-25 Myrthe D'Haen , Ingrid Van Keilegom , Anneleen Verhasselt

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

统计方法学 · 统计学 2021-11-16 Joyce Cahoon , Ryan Martin

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

统计方法学 · 统计学 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

This paper proposes a modelling strategy to infer the impact of a covariate on the dependence structure of right-censored clustered event time data. The joint survival function of the event times is modelled using a parametric conditional…

统计方法学 · 统计学 2016-06-07 Candida Geerdens , Elif Fidan Acar , Paul Janssen

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

This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the relationship between dependence and the…

概率论 · 数学 2012-05-01 Damiano Brigo , Kyriakos Chourdakis

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

统计方法学 · 统计学 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov
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