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Even in a carefully designed randomized trial, outcomes for some study participants can be missing, or more precisely, ill-defined, because participants had died prior to date of outcome collection. This problem, known as truncation by…

Methodology · Statistics 2022-09-27 Tamir Zehavi , Daniel Nevo

Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

Machine Learning · Computer Science 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

Mortality is different across countries, states and regions. Several empirical research works however reveal that mortality trends exhibit a common pattern and show similar structures across populations. The key element in analyzing…

Applications · Statistics 2020-09-10 Lei Fang , Wolfgang K. Härdle , Juhyun Park

Recently, we have witnessed impressive achievements in cancer survival analysis by integrating multimodal data, e.g., pathology images and genomic profiles. However, the heterogeneity and high dimensionality of these modalities pose…

Image and Video Processing · Electrical Eng. & Systems 2024-12-30 Huajun Zhou , Fengtao Zhou , Hao Chen

Transfer learning is beneficial for survival analysis, especially when the target study has a limited number of events. However, existing transfer learning methods rely on the restrictive assumption that the target and source studies share…

Methodology · Statistics 2026-03-13 Yu Gu , Donglin Zeng , D. Y. Lin

Continuous outcome measurements truncated by death present a challenge for the estimation of unbiased treatment effects in randomized controlled trials (RCTs). One way to deal with such situations is to estimate the survivor average causal…

One of the most common ways researchers compare survival outcomes across treatments when confounding is present is using Cox regression. This model is limited by its underlying assumption of proportional hazards; in some cases, substantial…

Applications · Statistics 2021-02-02 Elizabeth A. Handorf , Marc Smaldone , Sujana Movva , Nandita Mitra

Recurrent events often serve as key endpoints in clinical studies but may be prematurely truncated by terminal events such as death, creating selection bias and complicating causal inference. To address this challenge, we develop a Bayesian…

Methodology · Statistics 2026-03-18 Yuki Ohnishi , Michael O. Harhay , Guangyu Tong , Fan Li

Survival analysis provides a well-established framework for modeling time-to-event data, with hazard and survival functions formally defined as population-level quantities. In applied work, however, these quantities are often interpreted as…

Methodology · Statistics 2026-03-26 Xijia Liu

Estimating delay tail probabilities in scheduling and load balancing systems is a critical but computationally prohibitive task due to the rarity of violation events. Quantum Amplitude Estimation (QAE) offers a generic quadratic reduction…

Quantum Physics · Physics 2026-02-11 R. Srikant

The mean survival is the key ingredient of the decision process in several applications, notably in health economic evaluations. It is defined as the area under the complete survival curve, thus necessitating extrapolation of the observed…

Applications · Statistics 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

Survival prediction aims to evaluate the risk level of cancer patients. Existing methods primarily rely on pathology and genomics data, either individually or in combination. From the perspective of cancer pathogenesis, epigenetic changes,…

Machine Learning · Computer Science 2025-06-23 Haipeng Zhou , Sicheng Yang , Sihan Yang , Jing Qin , Lei Chen , Lei Zhu

In this paper, we derive the joint distribution of progression-free and overall survival as a function of transition probabilities in a multistate model. No assumptions on copulae or latent event times are needed and the model is allowed to…

Methodology · Statistics 2018-10-26 Matthias Meller , Jan Beyersmann , Kaspar Rufibach

Survival outcomes are common in comparative effectiveness studies and require unique handling because they are usually incompletely observed due to right-censoring. A ``once for all'' approach for causal inference with survival outcomes…

Methodology · Statistics 2021-12-21 Shuxi Zeng , Fan Li , Liangyuan Hu , Fan Li

We consider a log-linear model for survival data, where both the location and scale parameters depend on covariates and the baseline hazard function is completely unspecified. This model provides the flexibility needed to capture many…

Methodology · Statistics 2019-01-16 Kevin Burke , Frank Eriksson , C. B. Pipper

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

Methodology · Statistics 2017-03-24 Robson J. M. Machado , Ardo van den Hout

In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

Statistics Theory · Mathematics 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

The UK Biobank is a large-scale health resource comprising genetic, environmental and medical information on approximately 500,000 volunteer participants in the UK, recruited at ages 40--69 during the years 2006--2010. The project monitors…

Applications · Statistics 2021-03-16 Malka Gorfine , Nir Keret , Asaf Ben Arie , David Zucker , Li Hsu

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha