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We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

应用统计 · 统计学 2020-09-02 Denise Rava , Ronghui Xu

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

统计方法学 · 统计学 2021-11-16 Shenyi Pan , Harry Joe

High-dimensional sparse modeling with censored survival data is of great practical importance, as exemplified by modern applications in high-throughput genomic data analysis and credit risk analysis. In this article, we propose a class of…

统计方法学 · 统计学 2014-03-19 Wei Lin , Jinchi Lv

In applied time-to-event analysis, a flexible parametric approach is to model the hazard rate as a piecewise constant function of time. However, the change points and values of the piecewise constant hazard are usually unknown and need to…

统计方法学 · 统计学 2024-08-08 Manuel Rosenbaum , Jan Beyersmann , Michael Vogt

Here we propose a novel searching scheme for a tuning parameter in high-dimensional penalized regression methods to address variable selection and modeling when sample sizes are limited compared to the data dimensions. Our method is…

定量方法 · 定量生物学 2020-02-11 Tao Jiang , Stephanie J. London , Mi Kyeong Lee , Josyf C. Mychaleckyj , Alison A. Motsinger-Reif

Survival analysis is a widely used statistical framework for modeling time-to-event data under censoring. Classical methods, such as the Cox proportional hazards (Cox PH) model, offer a semiparametric approach to estimating the effects of…

机器学习 · 统计学 2026-04-23 Yang Xu , Wenbin Lu , Rui Song

The partial linear Cox model for interval-censoring is well-studied under the additive assumption but is still under-investigated without this assumption. In this paper, we propose to use a deep ReLU neural network to estimate the…

统计方法学 · 统计学 2023-07-04 Jie Zhou , Yue Zhang , Zhangsheng Yu

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…

统计方法学 · 统计学 2023-11-15 Jiyu Luo , Denise Rava , Jelena Bradic , Ronghui Xu

In clinical or epidemiological follow-up studies, methods based on time scale indicators such as the restricted mean survival time (RMST) have been developed to some extent. Compared with traditional hazard rate indicator system methods,…

统计方法学 · 统计学 2022-05-26 Chengfeng Zhang , Hongji Wu , Baoyi Huang , Hao Yuan , Yawen Hou , Zheng Chen

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

应用统计 · 统计学 2017-10-24 Folefac Atem , Roland A. Matsouaka

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

Although the Cox proportional hazards model is well established and extensively used in the analysis of survival data, the proportional hazards (PH) assumption may not always hold in practical scenarios. The class of semiparametric…

统计方法学 · 统计学 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu

Maximum approximate Bernstein likelihood estimates of the baseline density function and the regression coefficients in the proportional hazard regression models based on interval-censored event time data are proposed. This results in not…

统计方法学 · 统计学 2020-12-25 Zhong Guan

Using a multiplicative reparametrization, I show that a subclass of $L_q$ penalties with $q\leq 1$ can be expressed as sums of $L_2$ penalties. It follows that the lasso and other norm-penalized regression estimates may be obtained using a…

统计计算 · 统计学 2017-05-22 Peter D. Hoff

Beta regression is commonly employed when the outcome variable is a proportion. Since its conception, the approach has been widely used in applications spanning various scientific fields. A series of extensions have been proposed over time,…

统计方法学 · 统计学 2025-07-29 Niloofar Ramezani , Martin Slawski

The hazard ratio from the Cox proportional hazards model is a ubiquitous summary of treatment effect. However, when hazards are non-proportional, the hazard ratio can lose a stable causal interpretation and become study-dependent because it…

统计方法学 · 统计学 2026-02-17 Xiang Meng , Lu Tian , Kenneth Kehl , Hajime Uno

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

统计方法学 · 统计学 2021-06-08 Lu Xia , Bin Nan , Yi Li

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

计量经济学 · 经济学 2020-06-12 Matteo Mogliani , Anna Simoni

This paper provides guidance for researchers with some mathematical background on the conduct of time-to-event analysis in observational studies based on intensity (hazard) models. Discussions of basic concepts like time axis, event…

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

统计方法学 · 统计学 2022-10-07 Emil Aas Stoltenberg