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Survival analysis is a critical tool for modeling time-to-event data. Recent deep learning-based models have reduced various modeling assumptions including proportional hazard and linearity. However, a persistent challenge remains in…

Machine Learning · Computer Science 2025-12-30 Maxmillan Ries , Sohan Seth

Time to event outcomes are often evaluated on the hazard scale, but interpreting hazards may be difficult. Recently, there has been concern in the causal inference literature that hazards actually have a built in selection-effect that…

Methodology · Statistics 2020-02-07 Pål Christie Ryalen , Mats Julius Stensrud , Kjetil Røysland

It is standard practice for covariates to enter a parametric model through a single distributional parameter of interest, for example, the scale parameter in many standard survival models. Indeed, the well-known proportional hazards model…

Methodology · Statistics 2020-08-10 Kevin Burke , Gilbert MacKenzie

Although proportional hazard rate model is a very popular model to analyze failure time data, sometimes it becomes important to study the additive hazard rate model. Again, sometimes the concept of the hazard rate function is abstract, in…

Statistics Theory · Mathematics 2017-05-30 Suchismita Das , Asok K. Nanda

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

Methodology · Statistics 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear…

Applications · Statistics 2016-05-02 Rui Martins

Discrete-time hazard models are widely used when event times are measured in intervals or are not precisely observed. While these models can be estimated using standard generalized linear model techniques, they rely on extensive data…

Methodology · Statistics 2025-07-14 Benjamin Müller , Nikolaus Umlauf , Johannes Seiler , Kenneth Harttgen , Stefan Lang

Most papers implicitly assume competing risks to be induced by residual cohort heterogeneity, i.e. heterogeneity that is not captured by the recorded covariates. Based on this observation we develop a generic statistical description of…

In epidemiological studies of time-to-event data, a quantity of interest to the clinician and the patient is the risk of an event given a covariate profile. However, methods relying on time matching or risk-set sampling (including Cox…

Methodology · Statistics 2020-09-23 Sahir Rai Bhatnagar , Maxime Turgeon , Jesse Islam , James A. Hanley , Olli Saarela

We propose a constrained maximum partial likelihood estimator for dimension reduction in integrative (e.g., pan-cancer) survival analysis with high-dimensional covariates. We assume that for each population in the study, the hazard function…

Methodology · Statistics 2023-04-27 Aaron J. Molstad , Rohit K. Patra

The application of deep learning in survival analysis (SA) allows utilizing unstructured and high-dimensional data types uncommon in traditional survival methods. This allows to advance methods in fields such as digital health, predictive…

Machine Learning · Computer Science 2021-11-18 Tobias Weber , Michael Ingrisch , Bernd Bischl , David Rügamer

Bayesian paradigm takes advantage of well fitting complicated survival models and feasible computing in survival analysis owing to the superiority in tackling the complex censoring scheme, compared with the frequentist paradigm. In this…

Methodology · Statistics 2021-09-10 Chong Zhong , Zhihua Ma , Junshan Shen , Catherine Liu

Semi-parametric survival analysis methods like the Cox Proportional Hazards (CPH) regression (Cox, 1972) are a popular approach for survival analysis. These methods involve fitting of the log-proportional hazard as a function of the…

Machine Learning · Computer Science 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

We study the problem of inferring heterogeneous treatment effects from time-to-event data. While both the related problems of (i) estimating treatment effects for binary or continuous outcomes and (ii) predicting survival outcomes have been…

Machine Learning · Computer Science 2022-01-25 Alicia Curth , Changhee Lee , Mihaela van der Schaar

In heterogeneous cohorts and those where censoring by non-primary risks is informative many conventional survival analysis methods are not applicable; the proportional hazards assumption is usually violated at population level and the…

Predicting time-to-event outcomes when event times are interval censored is challenging because the exact event time is unobserved. Many existing survival analysis approaches for interval-censored data rely on strong model assumptions or…

Machine Learning · Computer Science 2026-02-12 Haoling Wang , Lang Zeng , Tao Sun , Youngjoo Cho , Ying Ding

We introduce a numerically tractable formulation of Bayesian joint models for longitudinal and survival data. The longitudinal process is modelled using generalised linear mixed models, while the survival process is modelled using a…

Methodology · Statistics 2021-04-23 Danilo Alvares , Francisco Javier Rubio

For time-to-event data with finitely many competing risks, the proportional hazards model has been a popular tool for relating the cause-specific outcomes to covariates [Prentice et al. Biometrics 34 (1978) 541--554]. This article studies…

Statistics Theory · Mathematics 2009-03-04 Yanqing Sun , Peter B. Gilbert , Ian W. McKeague

There are some real life issues that are exists in nature which has early failure. This type of problems can be modelled either by a complex distribution having more than one parameter or by finite mixture of some distribution. In this…

Statistics Theory · Mathematics 2024-08-30 Brijesh P. Singh , Utpal Dhar Das , Sandeep Singh

A population-averaged additive subdistribution hazards model is proposed to assess the marginal effects of covariates on the cumulative incidence function and to analyze correlated failure time data subject to competing risks. This approach…

Methodology · Statistics 2023-08-23 Xinyuan Chen , Denise Esserman , Fan Li