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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

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

统计方法学 · 统计学 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

Survival analysis is a statistical framework for modeling time-to-event data, particularly valuable in healthcare for predicting outcomes like patient discharge or recurrence. This study implements and compares several survival models -…

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

统计方法学 · 统计学 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

Methods for estimating heterogeneous treatment effect in observational data have largely focused on continuous or binary outcomes, and have been relatively less vetted with survival outcomes. Using flexible machine learning methods in the…

应用统计 · 统计学 2021-07-09 Liangyuan Hu , Jiayi Ji , Fan Li

For survival data with high-dimensional covariates, results generated in the analysis of a single dataset are often unsatisfactory because of the small sample size. Integrative analysis pools raw data from multiple independent studies with…

统计方法学 · 统计学 2015-01-13 Qingzhao Zhang , Sanguo Zhang , Jin Liu , Jian Huang , Shuangge Ma

This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

统计方法学 · 统计学 2022-05-10 Lea Kats , Malka Gorfine

Nonparametric and semiparametric methods are commonly used in survival analysis to mitigate the bias due to model misspecification. However, such methods often cannot estimate upper-tail survival quantiles when a sizable proportion of the…

统计方法学 · 统计学 2019-07-19 Yifan Wang , Tian You , Martin Lysy

Unobserved individual heterogeneity is a common challenge in population cancer survival studies. This heterogeneity is usually associated with the combination of model misspecification and the failure to record truly relevant variables. We…

统计方法学 · 统计学 2023-01-06 F. J. Rubio , H. Putter , A. Belot

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

统计方法学 · 统计学 2025-09-04 J. T. Korley

Products manufactured from the same batch or utilized in the same region often exhibit correlated lifetime observations due to the latent heterogeneity caused by the influence of shared but unobserved covariates. The unavailable…

统计方法学 · 统计学 2021-07-15 Xuxue Sun , Mingyang Li

In comparative effectiveness research, treated and control patients might have a different start of follow-up as treatment is often started later in the disease trajectory. This typically occurs when data from treated and controls are not…

统计方法学 · 统计学 2024-06-10 Rik van Eekelen , Patrick M. M. Bossuyt , Nan van Geloven

We consider a binary unsupervised classification problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of observation: normal and abnormal. The…

机器学习 · 统计学 2011-05-05 Stevenn Volant , Marie-Laure Martin Magniette , Stéphane Robin

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

The accelerated failure time (AFT) model is a commonly used tool in analyzing survival data. In public health studies, data is often collected from medical service providers in different locations. Survival rates from different locations…

应用统计 · 统计学 2020-02-11 Guanyu Hu , Yishu Xue , Fred Huffer

The main objective of accelerated life tests (ALTs) is to predict fraction failings of products in the field. However, there are often discrepancies between the predicted fraction failing from the lab testing data and that from the field…

应用统计 · 统计学 2014-01-13 Zhi-Sheng Ye , Yili Hong , Yimeng Xie

For complex diseases, beyond the main effects of genetic (G) and environmental (E) factors, gene-environment (G-E) interactions also play an important role. Many of the existing G-E interaction methods conduct marginal analysis, which may…

统计方法学 · 统计学 2020-03-06 Qingzhao Zhang , Hao Chai , Shuangge Ma

Bayesian nonparametric marginal methods are very popular since they lead to fairly easy implementation due to the formal marginalization of the infinite-dimensional parameter of the model. However, the straightforwardness of these methods…

统计方法学 · 统计学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

In recent years, mixture cure models have gained increasing popularity in survival analysis as an alternative to the Cox proportional hazards model, particularly in settings where a subset of patients is considered cured. The proportional…

统计方法学 · 统计学 2025-12-10 Fatih Kızılaslan , Valeria Vitelli

Datasets containing large samples of time-to-event data arising from several small heterogeneous groups are commonly encountered in statistics. This presents problems as they cannot be pooled directly due to their heterogeneity or analyzed…

机器学习 · 统计学 2016-12-05 Alexandre Piché , Russell Steele , Ian Shrier , Stephanie Long
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