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Overfitting, which happens when the number of parameters in a model is too large compared to the number of data points available for determining these parameters, is a serious and growing problem in survival analysis. While modern medicine…

应用统计 · 统计学 2017-09-13 ACC Coolen , JE Barrett , P Paga , CJ Perez-Vicente

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

种群与进化 · 定量生物学 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson

In survival analysis, cure models have gained much importance due to rapid advancements in medical sciences. More recently, a subset of cure models, called destructive cure models, have been studied extensively under competing risks…

统计方法学 · 统计学 2021-09-20 Narayanaswamy Balakrishnan , Sandip Barui

Estimating the cure fraction in a diseased population, especially in the presence of competing mortality causes, is crucial for both patients and clinicians. It offers a valuable measure for monitoring and interpreting trends in disease…

统计方法学 · 统计学 2025-04-08 Fabrizio Di Mari , Roberto Rocci , Silvia Rossi , Giovanna Tagliabue , Roberta De Angelis

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

In cancer epidemiology, the \emph{relative survival framework} is used to quantify the hazard associated with cancer by comparing the all-cause mortality hazard in cancer patients to that of the general population. This framework assumes…

应用统计 · 统计学 2024-11-05 Piyali Basak , Antonio R. Linero , Camille Maringe , F. Javier Rubio

Medical advances have increased cancer survival rates and the possibility of finding a cure. Hence, it is crucial to evaluate the impact of treatments both in terms of cure and prolongation of survival. To achieve this, we may use a Cox…

统计方法学 · 统计学 2024-12-31 Marta Cipriani , Marta Fiocco , Marco Alfò , Maria Quelhas , Eni Musta

One of the most common ways researchers compare survival outcomes across treatments when confounding is present is using Cox regression. This model is limited by its underlying assumption of proportional hazards; in some cases, substantial…

应用统计 · 统计学 2021-02-02 Elizabeth A. Handorf , Marc Smaldone , Sujana Movva , Nandita Mitra

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

统计方法学 · 统计学 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

统计方法学 · 统计学 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

Predicting risks of chronic diseases has become increasingly important in clinical practice. When a prediction model is developed in a given source cohort, there is often a great interest to apply the model to other cohorts. However, due to…

统计方法学 · 统计学 2020-03-05 Zheng Jiayin , Zheng Yingye , Hsu Li

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

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

统计方法学 · 统计学 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

The hazard function is central to the formulation of commonly used survival regression models such as the proportional hazards and accelerated failure time models. However, these models rely on a shared baseline hazard, which, when…

统计方法学 · 统计学 2025-12-19 J. A. Christen , F. J. Rubio

In empirical studies with time-to-event outcomes, investigators often leverage observational data to conduct causal inference on the effect of exposure when randomized controlled trial data is unavailable. Model misspecification and lack of…

统计方法学 · 统计学 2023-05-05 Shenbo Xu , Bang Zheng , Bowen Su , Stan Finkelstein , Roy Welsch , Kenney Ng , Ioanna Tzoulaki , Zach Shahn

We propose a new likelihood-based approach for estimation, inference and variable selection for parametric cure regression models in time-to-event analysis under random right-censoring. In this context, it often happens that some subjects…

统计方法学 · 统计学 2020-07-17 Kevin Burke , Valentin Patilea

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

机器学习 · 计算机科学 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

应用统计 · 统计学 2018-07-04 Nandini Kannan , Debasis Kundu

This paper considers robust modeling of the survival time for cancer patients. Accurate prediction can be helpful for developing therapeutic and care strategies. We propose a unified Expectation-Maximization approach combined with the…

统计方法学 · 统计学 2019-12-23 Yi Li , Muxuan Liang , Lu Mao , Sijian Wang

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