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When planning a clinical trial for a time-to-event endpoint, we require an estimated effect size and need to consider the type of effect. Usually, an effect of proportional hazards is assumed with the hazard ratio as the corresponding…

统计方法学 · 统计学 2026-03-02 Moritz Fabian Danzer , Ina Dormuth

Sampling orthogonal polynomial bases via Monte Carlo is of interest for uncertainty quantification of models with high-dimensional random inputs, using Polynomial Chaos (PC) expansions. It is known that bounding a probabilistic parameter,…

概率论 · 数学 2015-06-22 Jerrad Hampton , Alireza Doostan

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

统计方法学 · 统计学 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection…

统计理论 · 数学 2015-10-02 J. Castillo , M. Padilla

The proportional hazards (PH) and accelerated failure time (AFT) models are the most widely used hazard structures for analysing time-to-event data. When the goal is to identify variables associated with event times, variable selection is…

统计方法学 · 统计学 2026-02-04 Yulong Chen , Jim Griffin , Francisco Javier Rubio

Multimodal distributions of some physics based model parameters are often encountered in engineering due to different situations such as a change in some environmental conditions, and the presence of some types of damage and nonlinearity.…

统计计算 · 统计学 2022-10-19 Felipe Igea , Alice Cicirello

Survival analysis is a fundamental tool for modeling time-to-event outcomes in healthcare. Recent advances have introduced flexible neural network approaches for improved predictive performance. However, most of these models do not provide…

机器学习 · 统计学 2025-09-10 Mert Ketenci , Vincent Jeanselme , Harry Reyes Nieva , Shalmali Joshi , Noémie Elhadad

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…

统计方法学 · 统计学 2023-04-27 Aaron J. Molstad , Rohit K. Patra

Survival analysis is an important area of medical research, yet existing models often struggle to balance simplicity with flexibility. Simple models require minimal adjustments but come with strong assumptions, while more flexible models…

统计方法学 · 统计学 2025-08-22 Peter Knaus , Daniel Winkler , Sebastian F. Schoppmann , Gerd Jomrich

In survival analysis, Cox model is widely used for most clinical trial data. Alternatives include the additive hazard model, the accelerated failure time (AFT) model and a more general transformation model. All these models assume that the…

统计方法学 · 统计学 2016-03-24 Cheng Zheng , Ying Qing Chen

In the analysis of survival data, it is usually assumed that any unit will experience the event of interest if it is observed for a sufficient long time. However, one can explicitly assume that an unknown proportion of the population under…

统计方法学 · 统计学 2014-05-15 Vincent Bremhorst , Philippe Lambert

Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

统计理论 · 数学 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

Frailty models are essential tools in survival analysis for addressing unobserved heterogeneity and random effects in the data. These models incorporate a random effect, the frailty, which is assumed to impact the hazard rate…

统计理论 · 数学 2025-04-01 Jorge Yslas

The Proportional Hazards (PH) model is one of the most widely used models in survival analysis, typically assuming a log-linear relationship between covariates and the hazard function. However, in the context of spatial survival data, where…

统计方法学 · 统计学 2026-02-17 Lorenzo Tedesco , Francesco Finazzi

Flexible continuous-time survival modeling is critical for capturing complex time-varying hazard dynamics in high-dimensional data; however, training such models remains challenging due to the intractable integral required for likelihood…

机器学习 · 统计学 2026-05-18 Chaeyeon Lee , Sehwan Kim , Hyungrok Do

We propose a new class of multivariate survival models based on archimedean copulas with margins modeled by the Yang and Prentice (YP) model. The Ali-Mikhail-Haq (AMH), Clayton, Frank, Gumbel-Hougaard (GH), and Joe copulas are employed to…

统计方法学 · 统计学 2022-03-08 W. D. R. Miranda Filho , F. N. Demarqui

We consider exchangeable Markov multi-state survival processes -- temporal processes taking values over a state-space$\mathcal{S}$ with at least one absorbing failure state $\flat \in \mathcal{S}$ that satisfy natural invariance properties…

统计方法学 · 统计学 2018-10-26 Walter Dempsey

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

统计方法学 · 统计学 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

Fully Bayesian methods for Cox models specify a model for the baseline hazard function. Parametric approaches generally provide monotone estimations. Semi-parametric choices allow for more flexible patterns but they can suffer from…

统计方法学 · 统计学 2024-02-01 Elena Lázaro , Carmen Armero , Danilo Alvares

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves