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Survival analysis of right censored data arises often in many areas of research including medical research. Effect of covariates (and their interactions) on survival distribution can be studied through existing methods which requires to…

统计方法学 · 统计学 2021-08-11 Madan Gopal Kundu , Samiran Ghosh

Censoring is the central problem in survival analysis where either the time-to-event (for instance, death), or the time-tocensoring (such as loss of follow-up) is observed for each sample. The majority of existing machine learning-based…

机器学习 · 统计学 2024-07-22 Weijia Zhang , Chun Kai Ling , Xuanhui Zhang

Although the independent censoring assumption is commonly used in survival analysis, it can be violated when the censoring time is related to the survival time, which often happens in many practical applications. To address this issue, we…

统计方法学 · 统计学 2024-08-28 Huazhen Yu , Lixin Zhang

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

机器学习 · 计算机科学 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

This paper proposes a regression tree procedure to estimate conditional copulas. The associated algorithm determines classes of observations based on covariate values and fits a simple parametric copula model on each class. The association…

统计理论 · 数学 2024-03-20 Francesco Bonacina , Olivier Lopez , Maud Thomas

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

With insurers benefiting from ever-larger amounts of data of increasing complexity, we explore a data-driven method to model dependence within multilevel claims in this paper. More specifically, we start from a non-parametric estimator for…

统计方法学 · 统计学 2024-01-17 Marie Michaelides , Hélène Cossette , Mathieu Pigeon

Conventional survival metrics, such as Harrell's concordance index (CI) and the Brier Score, rely on the independent censoring assumption for valid inference with right-censored data. However, in the presence of so-called dependent…

机器学习 · 统计学 2025-05-20 Christian Marius Lillelund , Shi-ang Qi , Russell Greiner

Factorial survival designs with right-censored observations are commonly inferred by Cox regression and explained by means of hazard ratios. However, in case of non-proportional hazards, their interpretation can become cumbersome;…

统计方法学 · 统计学 2020-06-26 Marc Ditzhaus , Dennis Dobler , Markus Pauly

Interval-censored data, in which the event time is only known to lie in some time interval, arise commonly in practice; for example, in a medical study in which patients visit clinics or hospitals at pre-scheduled times, and the events of…

统计方法学 · 统计学 2017-07-21 Wei Fu , Jeffrey S. Simonoff

Tree methods (recursive partitioning) are a popular class of nonparametric methods for analyzing data. One extension of the basic tree methodology is the survival tree, which applies recursive partitioning to censored survival data. There…

统计方法学 · 统计学 2017-03-01 Wei Fu , Jeffrey S. Simonoff

Left-truncated survival data commonly arise in prevalent cohort studies, where only individuals who have experienced disease onset and survived until enrollment in the study. When the onset process follows a stationary Poisson process, the…

统计方法学 · 统计学 2025-12-23 Jinwoo Lee , Donghwan Lee , Hyunwoo Lee , Jiyu Sun

The most popular approach for analyzing survival data is the Cox regression model. The Cox model may, however, be misspecified, and its proportionality assumption may not always be fulfilled. An alternative approach for survival prediction…

机器学习 · 统计学 2018-05-17 Marvin N. Wright , Theresa Dankowski , Andreas Ziegler

Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this…

统计理论 · 数学 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

Factorial analyses offer a powerful nonparametric means to detect main or interaction effects among multiple treatments. For survival outcomes, e.g. from clinical trials, such techniques can be adopted for comparing reasonable…

统计方法学 · 统计学 2023-02-06 Takeshi Emura , Marc Ditzhaus , Dennis Dobler , Kenta Murotani

Survival data with time-varying covariates are common in practice. If relevant, they can improve on the estimation of survival function. However, the traditional survival forests - conditional inference forest, relative risk forest and…

应用统计 · 统计学 2022-06-06 Weichi Yao , Halina Frydman , Denis Larocque , Jeffrey S. Simonoff

Variable selection is an important problem in statistics and machine learning. Copula Entropy (CE) is a mathematical concept for measuring statistical independence and has been applied to variable selection recently. In this paper we…

统计方法学 · 统计学 2022-09-07 Jian Ma

We propose a highly flexible distributional copula regression model for bivariate time-to-event data in the presence of right-censoring. The joint survival function of the response is constructed using parametric copulas, allowing for a…

统计方法学 · 统计学 2024-12-23 Guillermo Briseno-Sanchez , Nadja Klein , Andreas Groll , Andreas Mayr

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

机器学习 · 计算机科学 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

We propose inference procedures for general nonparametric factorial survival designs with possibly right-censored data. Similar to additive Aalen models, null hypotheses are formulated in terms of cumulative hazards. Thereby, deviations are…

统计方法学 · 统计学 2020-06-25 Marc Ditzhaus , Arnold Janssen , Markus Pauly
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