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A prevalent feature of high-dimensional data is the dependence among covariates, and model selection is known to be challenging when covariates are highly correlated. To perform model selection for the high-dimensional Cox proportional…

统计方法学 · 统计学 2022-10-04 Pierre Bayle , Jianqing Fan

A new single-index model that reflects the time-dynamic effects of the single index is proposed for longitudinal and functional response data, possibly measured with errors, for both longitudinal and time-invariant covariates. With…

统计理论 · 数学 2011-03-10 Ci-Ren Jiang , Jane-Ling Wang

Survival analysis provides a well-established framework for modeling time-to-event data, with hazard and survival functions formally defined as population-level quantities. In applied work, however, these quantities are often interpreted as…

统计方法学 · 统计学 2026-03-26 Xijia Liu

We consider the problems of variable selection and estimation in nonparametric additive regression models for high-dimensional data. In recent years, several methods have been proposed to model nonlinear relationships when the number of…

统计方法学 · 统计学 2013-10-07 Linn Cecilie Bergersen , Kukatharmini Tharmaratnam , Ingrid K. Glad

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

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

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…

统计方法学 · 统计学 2023-03-31 Rahul Ghosal , Marcos Matabuena , Jiajia Zhang

The use of massive survival data has become common in survival analysis. In this study, a subsampling algorithm is proposed for the Cox proportional hazards model with time-dependent covariates when the sample is extraordinarily large but…

统计计算 · 统计学 2023-02-07 Nan Qiao , Wangcheng Li , Feng Xiao , Cunjie Lin , Yong Zhou

This paper explores foundational and applied aspects of survival analysis, using fall risk assessment as a case study. It revisits key time-related probability distributions and statistical methods, including logistic regression, Poisson…

机器学习 · 计算机科学 2025-01-07 Tianhua Chen

Joint models of longitudinal and survival data have become an important tool for modeling associations between longitudinal biomarkers and event processes. The association between marker and log-hazard is assumed to be linear in existing…

统计方法学 · 统计学 2017-10-24 Meike Köhler , Nikolaus Umlauf , Sonja Greven

In this paper, a family of neural network-based survival models is presented. The models are specified based on piecewise definitions of the hazard function and the density function on a partitioning of the time; both constant and linear…

机器学习 · 统计学 2024-03-28 Olov Holmer , Erik Frisk , Mattias Krysander

Recent research has shown the potential for neural networks to improve upon classical survival models such as the Cox model, which is widely used in clinical practice. Neural networks, however, typically rely on data that are centrally…

机器学习 · 计算机科学 2022-07-12 Dekai Zhang , Francesca Toni , Matthew Williams

Proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used to deal with survival data in different fields of knowledge. Despite their popularity, such models are not suitable to handle…

统计方法学 · 统计学 2019-10-08 Fabio N. Demarqui , Vinicius D. Mayrink

Smooth backfitting has proven to have a number of theoretical and practical advantages in structured regression. Smooth backfitting projects the data down onto the structured space of interest providing a direct link between data and…

This paper considers the quantile regression approach for partially linear spatial autoregressive models with possibly varying coefficients. B-spline is employed for the approximation of varying coefficients. The instrumental variable…

统计方法学 · 统计学 2016-08-08 Xiaowen Dai , Shaoyang Li , Maozai Tian

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

统计方法学 · 统计学 2024-02-01 Graciela Boente , Alejandra Martínez

Bayes linear kinematics and Bayes linear Bayes graphical models provide an extension of Bayes linear methods so that full conditional updates may be combined with Bayes linear belief adjustment. In this paper we investigate the application…

统计方法学 · 统计学 2016-11-16 Kevin J. Wilson , Malcolm Farrow

For many diseases it is reasonable to assume that the hazard rate is not constant across time, but also that it changes in different time intervals. To capture this, we work here with a piecewise survival model. One of the major problems in…

应用统计 · 统计学 2021-12-08 Dimitra Eleftheriou , Dimitris Karlis

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 survival data in the presence of a cure fraction, meaning that some subjects will never experience the event of interest. We assume a mixture cure model consisting of two sub-models: one for the probability of being uncured…

统计方法学 · 统计学 2023-03-17 Eni Musta , Tsz Pang Yuen