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Related papers: Cox Regression Model Under Dependent Truncation

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Studies of the effects of medical interventions increasingly take place in distributed research settings using data from multiple clinical data sources including electronic health records and administrative claims. In such settings, privacy…

Methodology · Statistics 2021-01-06 Martijn J. Schuemie , Yong Chen , David Madigan , Marc A. Suchard

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…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

When longitudinal outcomes are evaluated in mortal populations, their non-existence after death complicates the analysis and its causal interpretation. Where popular methods often merge longitudinal outcome and survival into one scale or…

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

Methodology · Statistics 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

Covariance regression analysis is an approach to linking the covariance of responses to a set of explanatory variables $X$, where $X$ can be a vector, matrix, or tensor. Most of the literature on this topic focuses on the "Fixed-$X$"…

Statistics Theory · Mathematics 2025-01-08 Tao Zou , Wei Lan , Runze Li , Chih-Ling Tsai

Clinical studies sometimes encounter truncation by death, rendering outcomes undefined. Statistical analysis based solely on observed survivors may give biased results because the characteristics of survivors differ between treatment…

Methodology · Statistics 2022-11-23 Yuhao Deng , Yingjun Chang , Xiao-Hua Zhou

The Aalen-Johansen estimator generalizes the Kaplan-Meier estimator for independently left-truncated and right-censored survival data to estimating the transition probability matrix of a time-inhomogeneous Markov model with finite state…

Methodology · Statistics 2020-04-15 Alexandra Niessl , Arthur Allignol , Carina Mueller , Jan Beyersmann

Survival trees are popular alternatives to Cox or Aalen regression models that offer both modelling flexibility and graphical interpretability. This paper introduces a new algorithm for survival trees that relaxes the assumption of…

Methodology · Statistics 2025-07-29 Pauline Baur , Markus Pauly , Takeshi Emura

We consider the problem of estimating the distribution of time-to-event data that are subject to censoring and for which the event of interest might never occur, i.e., some subjects are cured. To model this kind of data in the presence of…

Statistics Theory · Mathematics 2018-06-05 François Portier , Ingrid Van Keilegom , Anouar El Ghouch

The Cox model, which remains as the first choice in analyzing time-to-event data even for large datasets, relies on the proportional hazards (PH) assumption. When survival data arrive sequentially in chunks, a fast and minimally storage…

Methodology · Statistics 2020-11-24 Yishu Xue , HaiYing Wang , Jun Yan , Elizabeth D. Schifano

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

Methodology · Statistics 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

Methodology · Statistics 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

Predicting patient survival probabilities based on observed covariates is an important assessment in clinical practice. These patient-specific covariates are often measured over multiple follow-up appointments. It is then of interest to…

Methodology · Statistics 2021-11-11 Annabel L. Davies , Anthony C. C. Coolen , Tobias Galla

The Cox regression model is a commonly used model in survival analysis. In public health studies, clinical data are often collected from medical service providers of different locations. There are large geographical variations in the…

Applications · Statistics 2021-07-30 Jinjian Mu , Qingyang Liu , Lynn Kuo , Guanyu Hu

This paper presents a strategy for analyzing zero-truncated recurrent events data. Motivated by a pediatric mental health care (PMHC) program, we are particularly concerned with how the event occurrence depends on the occurrences in the…

Methodology · Statistics 2025-08-01 Anqi A. Chen , X. Joan Hu , Rhonda J. Rosychuk , Leilei Zeng

The Adult Changes in Thought (ACT) study is a long-running prospective study of incident all-cause dementia and Alzheimer's disease (AD). As the cohort ages, death (a terminal event) is a prominent competing risk for AD (a non-terminal…

Methodology · Statistics 2020-07-09 Daniel Nevo , Deborah Blacker , Eric B. Larson , Sebastien Haneuse

The Cox proportional hazards model is ubiquitous in the analysis of time-to-event data. However, when the data dimension p is comparable to the sample size $N$, maximum likelihood estimates for its regression parameters are known to be…

Methodology · Statistics 2020-01-08 M Sheikh , A. C. C. Coolen

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

When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

Machine Learning · Statistics 2024-10-23 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

Machine Learning · Statistics 2020-11-06 Denise Rava , Jelena Bradic