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Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

统计理论 · 数学 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Histopathology-based survival modelling has two major hurdles. Firstly, a well-performing survival model has minimal clinical application if it does not contribute to the stratification of a cancer patient cohort into different risk groups,…

计算机视觉与模式识别 · 计算机科学 2021-07-12 Hassan Muhammad , Chensu Xie , Carlie S. Sigel , Michael Doukas , Lindsay Alpert , William R. Jarnagin , Amber Simpson , Thomas J. Fuchs

We propose and study a fully efficient method to estimate associations of an exposure with disease incidence when both, incident cases and prevalent cases, i.e. individuals who were diagnosed with the disease at some prior time point and…

统计方法学 · 统计学 2018-03-20 Marlena Maziarz , Yukun Liu , Jing Qin , Ruth Pfeiffer

In comparative research on time-to-event data for two groups, when two survival curves cross each other, it may be difficult to use the log-rank test and hazard ratio (HR) to properly assess the treatment benefit. Our aim was to identify a…

统计方法学 · 统计学 2021-12-21 Xinghui Huang , Jingjing Lyu , Yawen Hou , Zheng Chen

This paper proposes a decorrelation-based approach to test hypotheses and construct confidence intervals for the low dimensional component of high dimensional proportional hazards models. Motivated by the geometric projection principle, we…

机器学习 · 统计学 2014-12-17 Ethan X. Fang , Yang Ning , Han Liu

We present several illustrations from completed clinical trials on a statistical approach that allows us to gain useful insights regarding the time dependency of treatment effects. Our approach leans on a simple proposition: all…

统计方法学 · 统计学 2024-07-29 Sean M. Devlin , John O'Quigley

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

We conducted a systematic comparison of statistical methods used for the analysis of time-to-event outcomes under various proportional and nonproportional hazard (NPH) scenarios. Our study used data from recently published oncology trials…

应用统计 · 统计学 2025-02-12 Xinyu Zhang , Erich J. Greene , Ondrej Blaha , Wei Wei

The mean survival is the key ingredient of the decision process in several applications, notably in health economic evaluations. It is defined as the area under the complete survival curve, thus necessitating extrapolation of the observed…

应用统计 · 统计学 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

统计方法学 · 统计学 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

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

This paper compares six different parameter estimation methods for shared frailty models via a series of simulation studies. A shared frailty model is a survival model that incorporates a random effect term, where the frailties are common…

统计方法学 · 统计学 2023-11-21 Tingxuan Wu , Cindy Feng , Longhai Li

A popular Bayesian nonparametric approach to survival analysis consists in modeling hazard rates as kernel mixtures driven by a completely random measure. In this paper we derive asymptotic results for linear and quadratic functionals of…

概率论 · 数学 2016-08-16 Giovanni Peccati , Igor Prünster

We provide a semi-parametric analysis for the proportional likelihood ratio model, proposed by Luo & Tsai (2012). We study the tangent spaces for both the parameter of interest and the nuisance parameter, and obtain an explicit expression…

统计理论 · 数学 2019-07-15 Yair Goldberg , Malka Gorfine

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

Cure models have been widely developed to estimate the cure fraction when some subjects never experience the event of interest. However these models were rarely focused on the estimation of the time-to-cure i.e. the delay elapsed between…

Over the last five decades, we have seen strong methodological advances in survival analysis, mainly in two separate strands: One strand is based on a parametric approach that assumes some response distribution. More prominent, however, is…

统计方法学 · 统计学 2025-03-25 Sandra Siegfried , Bálint Tamási , Torsten Hothorn

This study introduces the Exponentiated-Exponential-Pareto-Half Normal Mixture Distribution (EEPHND), a novel hybrid model developed to overcome the limitations of classical distributions in modeling complex real-world data. By compounding…

In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model,…

统计理论 · 数学 2007-06-13 Jiayang Sun , Bin Wang

Relative survival represents the preferred framework for the analysis of population cancer survival data. The aim is to model the survival probability associated to cancer in the absence of information about the cause of death. Recent data…