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We describe a new approach to estimating relative risks in time-to-event prediction problems with censored data in a fully parametric manner. Our approach does not require making strong assumptions of constant proportional hazard of the…

Machine Learning · Computer Science 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski

Typically, case-control studies to estimate odds-ratios associating risk factors with disease incidence from logistic regression only include cases with newly diagnosed disease. Recently proposed methods allow incorporating information on…

Methodology · Statistics 2020-10-19 Soutrik Mandal , Jing Qin , Ruth M. Pfeiffer

The identification of heterogeneous treatment effects (HTE) across subgroups is of significant interest in clinical trial analysis. Several state-of-the-art HTE estimation methods, including causal forests, apply recursive partitioning for…

Methodology · Statistics 2025-06-10 Vik Shirvaikar , Andrea Storås , Xi Lin , Chris Holmes

The case-cohort design allows analysis of multiple endpoints and only requires covariates to be measured for cases and non-cases in a random subcohort from the cohort. Stratification of subcohort sampling and weight calibration increase…

Applications · Statistics 2024-02-15 Lola Etievant , Mitchell H. Gail

In many biomedical applications, outcome is measured as a ``time-to-event'' (eg. disease progression or death). To assess the connection between features of a patient and this outcome, it is common to assume a proportional hazards model,…

Statistics Theory · Mathematics 2020-08-11 Aliasghar Tarkhan , Noah Simon

In this study, we present a hybrid CNN-RNN approach to investigate long-term survival of subjects in a lung cancer screening study. Subjects who died of cardiovascular and respiratory causes were identified whereby the CNN model was used to…

Machine Learning · Computer Science 2023-03-21 Yaozhi Lu , Shahab Aslani , An Zhao , Ahmed Shahin , David Barber , Mark Emberton , Daniel C. Alexander , Joseph Jacob

In cancer epidemiology, the \emph{relative survival framework} is used to quantify the hazard associated with cancer by comparing the all-cause mortality hazard in cancer patients to that of the general population. This framework assumes…

Applications · Statistics 2024-11-05 Piyali Basak , Antonio R. Linero , Camille Maringe , F. Javier Rubio

In the data-driven era, large-scale datasets are routinely collected and analyzed using machine learning (ML) and artificial intelligence (AI) to inform decisions in high-stakes domains such as healthcare, employment, and criminal justice,…

Machine Learning · Computer Science 2026-05-13 Drago Plecko

The pervasive use of prevalent cohort studies on disease duration, increasingly calls for appropriate methodologies to account for the biases that invariably accompany samples formed by such data. It is well-known, for example, that…

Statistics Theory · Mathematics 2013-11-07 Ashkan Ertefaie , Masoud Asgharian , David Stephens

The hazard function is central to the formulation of commonly used survival regression models such as the proportional hazards and accelerated failure time models. However, these models rely on a shared baseline hazard, which, when…

Methodology · Statistics 2025-12-19 J. A. Christen , F. J. Rubio

Causal mediation analysis of observational data is an important tool for investigating the potential causal effects of medications on disease-related risk factors, and on time-to-death (or disease progression) through these risk factors.…

The Cox regression model is a popular model for analyzing the relationship between a covariate and a survival endpoint. The standard Cox model assumes a constant covariate effect across the entire covariate domain. However, in many…

Applications · Statistics 2019-09-02 Sarit Agami , David M. Zucker , Donna Spiegelman

We present a simulation-based evaluation of the Inference Headroom Ratio (IHR), a dimensionless diagnostic quantity for characterizing inference stability in constrained decision systems. IHR formalizes the relationship between a system's…

Artificial Intelligence · Computer Science 2026-04-23 Robert Reinertsen

In this paper we address the challenges posed by non-proportional hazards and informative censoring, offering a path toward more meaningful causal inference conclusions. We start from the marginal structural Cox model, which has been widely…

Methodology · Statistics 2023-11-15 Jiyu Luo , Denise Rava , Jelena Bradic , Ronghui Xu

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

Machine Learning · Computer Science 2023-12-12 Chris Solomou

Survival analysis is widely deployed in a diverse set of fields, including healthcare, business, ecology, etc. The Cox Proportional Hazard (CoxPH) model is a semi-parametric model often encountered in the literature. Despite its popularity,…

Machine Learning · Computer Science 2025-05-29 Chengzhi Shi , Stratis Ioannidis

Semi-competing risks data arise when both non-terminal and terminal events are considered in a model. Such data with multiple events of interest are frequently encountered in medical research and clinical trials. In this framework, terminal…

Methodology · Statistics 2022-11-21 Fatemeh Mahmoudi , Xuewen Lu

For the analysis of time-to-event data, frequently used methods such as the log-rank test or the Cox proportional hazards model are based on the proportional hazards assumption, which is often debatable. Although a wide range of parametric…

Analysis of competing risks data is often complicated by the incomplete or selectively missing information on the cause of failure. Standard approaches typically assume that the cause of failure is missing at random (MAR), an assumption…

In clinical trials, the observation of participant outcomes may frequently be hindered by death, leading to ambiguity in defining a scientifically meaningful final outcome for those who die. Principal stratification methods are valuable…

Methodology · Statistics 2025-09-01 Jiaqi Tong , Chao Cheng , Guangyu Tong , Michael O. Harhay , Fan Li