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We develop a functional proportional hazards mixture cure (FPHMC) model with scalar and functional covariates measured at the baseline. The mixture cure model, useful in studying populations with a cure fraction of a particular event of…

Methodology · Statistics 2023-03-31 Rahul Ghosal , Marcos Matabuena , Jiajia Zhang

The difference in restricted mean survival times between two groups is a clinically relevant summary measure. With observational data, there may be imbalances in confounding variables between the two groups. One approach to account for such…

Applications · Statistics 2014-10-17 Andrew Wey , David Vock , John Connett , Kyle Rudser

We consider a class of Cox models with time-dependent effects that may be zero over certain unknown time regions or, in short, sparse time-varying effects. The model is particularly useful for biomedical studies as it conveniently depicts…

Methodology · Statistics 2022-06-02 Yuan Yang , Jian Kang , Yi Li

Heterogeneous treatment effect estimation is critical in oncology, particularly in multi-arm trials with overlapping therapeutic components and long-term survivors. These shared mechanisms pose a central challenge to identifying causal…

Methodology · Statistics 2025-10-29 Peter Chang , John Kairalla , Arkaprava Roy

We propose two novel approaches for estimating time-varying effects of functional predictors within a linear functional Cox model framework. This model allows for time-varying associations of a functional predictor observed at baseline,…

Methodology · Statistics 2024-12-20 Hongyu Du , Andrew Leroux

We introduce a pliable lasso method for estimation of interaction effects in the Cox proportional hazards model framework. The pliable lasso is a linear model that includes interactions between covariates X and a set of modifying variables…

Applications · Statistics 2018-07-19 Wenfei Du , Rob Tibshirani

In healthcare, risk assessment of patient outcomes has been based on survival analysis for a long time, i.e. modeling time-to-event associations. However, conventional approaches rely on data from a single time-point, making them suboptimal…

Machine Learning · Computer Science 2026-02-20 Mine Öğretir , Miika Koskinen , Juha Sinisalo , Risto Renkonen , Harri Lähdesmäki

Covariate adjustment is desired by both practitioners and regulators of randomized clinical trials because it improves precision for estimating treatment effects. However, covariate adjustment presents a particular challenge in…

Methodology · Statistics 2023-07-20 Yunfan Li , Jessica L. Ross , Aaron M. Smith , David P. Miller

Polyhazard models are a class of flexible parametric models for modelling survival over extended time horizons. Their additive hazard structure allows for flexible, non-proportional hazards whose characteristics can change over time while…

Methodology · Statistics 2024-06-21 Luke Hardcastle , Samuel Livingstone , Gianluca Baio

In biometrics and related fields, the Cox proportional hazards model are widely used to analyze with covariate adjustment. However, when some covariates are not observed, an unbiased estimator usually cannot be obtained. Even if there are…

Methodology · Statistics 2022-06-06 Shunichiro Orihara

Period-prevalent cohorts are often used for their cost-saving potential in epidemiological studies of survival outcomes. Under this design, prevalent patients allow for evaluations of long-term survival outcomes without the need for long…

Methodology · Statistics 2024-10-28 Nicholas Hartman

We study problems with multiple missing covariates and partially observed responses. We develop a new framework to handle complex missing covariate scenarios via inverse probability weighting, regression adjustment, and a multiply-robust…

Methodology · Statistics 2021-11-04 Daniel Suen , Yen-Chi Chen

In this paper, we demonstrate through the use of matrix calculus a transparent analysis of fractional inhomogeneous Markov models for life insurance where transition matrices commute. The resulting formulae are intuitive matrix…

Probability · Mathematics 2021-10-25 Martin Bladt

Survival analysis is an important research topic with applications in healthcare, business, and manufacturing. One essential tool in this area is the Cox proportional hazards (CPH) model, which is widely used for its interpretability,…

Machine Learning · Computer Science 2024-10-28 Jiachang Liu , Rui Zhang , Cynthia Rudin

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

Methodology · Statistics 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

The mixture cure rate model is the most commonly used cure rate model in the literature. In the context of mixture cure rate model, the standard approach to model the effect of covariates on the cured or uncured probability is to use a…

Methodology · Statistics 2022-08-23 Suvra Pal , Yingwei Peng , Sandip Barui , Pei Wang

In Cox regression it is sometimes of interest to study time-varying effects (TVE) of exposures and to test the proportional hazards assumption. TVEs can be investigated with log hazard ratios modelled as a function of time. Missing data on…

Methodology · Statistics 2021-12-07 Ruth H. Keogh , Tim P. Morris

The incremental cost-effectiveness ratio (ICER) and incremental net benefit (INB) are widely used for cost-effectiveness analysis. We develop methods for estimation and inference for the ICER and INB which use the semiparametric stratified…

Methodology · Statistics 2025-05-12 Polyna Khudyakov , Li Xu , Ce Yang , Donna Spiegelman , Molin Wang

Medical investigations focusing on patient survival often generate not only a failure time for each patient but also a sequence of measurements on patient health at annual or semi-annual check-ups while the patient remains alive. Such a…

Methodology · Statistics 2016-01-18 Peter McCullagh , Walter Dempsey

We propose a new method for the analysis of competing risks data with long term survivors. The proposed method enables us to estimate the overall survival probability and cure fraction simultaneously. We formulate the effect of covariates…

Statistics Theory · Mathematics 2022-04-28 Sudheesh K Kattumannil , Sreedevi E P , Sankaran P G
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