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While analysing time-to-event data, it is possible that a certain fraction of subjects will never experience the event of interest and they are said to be cured. When this feature of survival models is taken into account, the models are…

Methodology · Statistics 2020-01-27 Khandoker Akib Mohammad , Yuichi Hirose , Budhi Surya , Yuan Yao

The Cox model is an indispensable tool for time-to-event analysis, particularly in biomedical research. However, medicine is undergoing a profound transformation, generating data at an unprecedented scale, which opens new frontiers to study…

Methodology · Statistics 2023-03-07 Alexander W. Jung , Moritz Gerstung

In this paper, we predict conditional survival functions through a combined regression strategy. We take weak learners as different random survival trees. We propose to maximize concordance in the right-censored set up to find the optimal…

Machine Learning · Statistics 2022-10-12 Rahul Goswami , Arabin Kumar Dey

A simple yet effective way of modeling survival data with cure fraction is by considering Box-Cox transformation cure model (BCTM) that unifies mixture and promotion time cure models. In this article, we numerically study the statistical…

Methodology · Statistics 2023-10-25 Suvra Pal , Sandip Barui

Fulfilling the promise of precision medicine requires accurately and precisely classifying disease states. For cancer, this includes prediction of survival time from a surfeit of covariates. Such data presents an opportunity for improved…

Applications · Statistics 2017-06-22 Shannon R. McCurdy , Annette Molinaro , Lior Pachter

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…

Methodology · Statistics 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu

The analysis of causal effects when the outcome of interest is possibly truncated by death has a long history in statistics and causal inference. The survivor average causal effect is commonly identified with more assumptions than those…

Methodology · Statistics 2020-03-24 Jaffer M. Zaidi , Eric J. Tchetgen Tchetgen , Tyler J. VanderWeele

The standard Cox model in survival analysis assumes that the covariate effect is constant across the entire covariate domain. However, in many applications, there is interest in considering the possibility that the covariate of main…

Applications · Statistics 2018-08-28 Sarit Agami , David M. Zucker , Donna Spiegelman

Regression analysis with missing data is a long-standing and challenging problem, particularly when there are many missing variables with arbitrary missing patterns. Likelihood-based methods, although theoretically appealing, are often…

Methodology · Statistics 2024-10-16 Ngok Sang Kwok , Kin Yau Wong

The log-rank test and the Cox proportional hazards model are commonly used to compare time-to-event data in clinical trials, as they are most powerful under proportional hazards. But there is a loss of power if this assumption is violated,…

Methodology · Statistics 2024-02-14 Jonas Brugger , Tim Friede , Florian Klinglmüller , Martin Posch , Robin Ristl , Franz König

Unmeasured confounding and selection bias are often of concern in observational studies and may invalidate a causal analysis if not appropriately accounted for. Under outcome-dependent sampling, a latent factor that has causal effects on…

Methodology · Statistics 2022-08-03 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

It is challenging to deal with censored data, where we only have access to the incomplete information of survival time instead of its exact value. Fortunately, under linear predictor assumption, people can obtain guaranteed coverage for the…

Data Structures and Algorithms · Computer Science 2021-04-15 Jiaye Teng , Zeren Tan , Yang Yuan

The Cox proportional hazards model is often used to analyze data from Randomized Controlled Trials (RCT) with time-to-event outcomes. Random survival forest (RSF) is a machine-learning algorithm known for its high predictive performance. We…

Machine Learning · Statistics 2025-05-28 Ricarda Graf , Susan Todd , M. Fazil Baksh

Knockoffs are a popular statistical framework that addresses the challenging problem of conditional variable selection in high-dimensional settings with statistical control. Such statistical control is essential for the reliability of…

Methodology · Statistics 2025-04-30 Alexandre Blain , Angel Reyero Lobo , Julia Linhart , Bertrand Thirion , Pierre Neuvial

The proportional hazards assumption in the commonly used Cox model for censored failure time data is often violated in scientific studies. Yang and Prentice (2005) proposed a novel semiparametric two-sample model that includes the…

Methodology · Statistics 2012-06-06 Guoqing Diao , Donglin Zeng , Song Yang

Motivated by the pressing need for suicide prevention through improving behavioral healthcare, we use medical claims data to study the risk of subsequent suicide attempts for patients who were hospitalized due to suicide attempts and later…

Applications · Statistics 2023-05-09 Wenjie Wang , Chongliang Luo , Robert H. Aseltine , Fei Wang , Jun Yan , Kun Chen

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

Applications · Statistics 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

We use statistical mechanics techniques, viz. the replica method, to model the effect of censoring on overfitting in Cox's proportional hazards model, the dominant regression method for time-to-event data. In the overfitting regime, Maximum…

Methodology · Statistics 2023-12-06 Emanuele Massa , Alexander Mozeika , Anthony Coolen

Healthcare programs such as Medicaid provide crucial services to vulnerable populations, but due to limited resources, many of the individuals who need these services the most languish on waiting lists. Survival models, e.g. the Cox…

Machine Learning · Computer Science 2020-10-15 Kamrun Naher Keya , Rashidul Islam , Shimei Pan , Ian Stockwell , James R. Foulds

We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine
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