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Quantifying out-of-sample discrimination performance for time-to-event outcomes is a fundamental step for model evaluation and selection in the context of predictive modelling. The concordance index, or C-index, is a widely used metric for…

机器学习 · 统计学 2025-08-21 Begoña B. Sierra , Colin McLean , Peter S. Hall , Catalina A. Vallejos

Survival analysis often relies on Cox models, assuming both linearity and proportional hazards (PH). This study evaluates machine and deep learning methods that relax these constraints, comparing their performance with penalized Cox models…

机器学习 · 计算机科学 2025-10-21 Ivan Rossi , Flavio Sartori , Cesare Rollo , Giovanni Birolo , Piero Fariselli , Tiziana Sanavia

Single-index models or time-to-event models are frequently applied in empirical research. These models are non-identifiable in presence of unknown (dependent) censoring or competing risks and do not give informative results in empirical…

统计方法学 · 统计学 2026-03-25 Jia-Han Shih , Simon M. S. Lo , Ralf A. Wilke

The Concordance Index (C-index) is a commonly used metric in Survival Analysis for evaluating the performance of a prediction model. In this paper, we propose a decomposition of the C-index into a weighted harmonic mean of two quantities:…

机器学习 · 计算机科学 2024-01-23 Abdallah Alabdallah , Mattias Ohlsson , Sepideh Pashami , Thorsteinn Rögnvaldsson

Discrimination measures such as the concordance index and the cumulative-dynamic time-dependent area under the ROC-curve (AUC) are widely used in the medical literature for evaluating the predictive accuracy of a scoring rule which relates…

统计方法学 · 统计学 2025-08-12 Marie Skov Breum , Torben Martinussen

The concordance probability or C-index is a popular measure to capture the discriminatory ability of a regression model. In this article, the definition of this measure is adapted to the specific needs of the frequency and severity model,…

偏微分方程分析 · 数学 2019-11-15 Robin Van Oirbeek , Christopher Grumiau , Tim Verdonck

Recent years have seen the development of many novel scoring tools for disease prognosis and prediction. To become accepted for use in clinical applications, these tools have to be validated on external data. In practice, validation is…

统计方法学 · 统计学 2022-12-06 Matthias Schmid , Tim Friede , Nadja Klein , Leonie Weinhold

The current state of evaluation in survival analysis is plagued by the persistent use of evaluation metrics in ways that are misaligned with the stated modeling objective. In addition, many such evaluations are based on censoring…

The introduction of machine learning (ML) techniques to the field of survival analysis has increased the flexibility of modeling approaches, and ML based models have become state-of-the-art. These models optimize their own cost functions,…

机器学习 · 统计学 2023-02-24 Alex Nowak-Vila , Kevin Elgui , Genevieve Robin

A comprehensive, unified approach to modeling arbitrarily censored spatial survival data is presented for the three most commonly-used semiparametric models: proportional hazards, proportional odds, and accelerated failure time. Unlike many…

应用统计 · 统计学 2017-07-04 Haiming Zhou , Timothy Hanson

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

Evaluating and validating the performance of prediction models is a fundamental task in statistics, machine learning, and their diverse applications. However, developing robust performance metrics for competing risks time-to-event data…

统计方法学 · 统计学 2025-07-22 Zian Zhuang , Wen Su , Eric Kawaguchi , Gang Li

We consider linear transformation models applied to right censored survival data with a change-point based on a covariate threshold. We establish consistency and weak convergence of the nonparametric maximum lieklihood estimators. The…

统计理论 · 数学 2007-06-13 Michael R. Kosorok , Rui Song

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

统计方法学 · 统计学 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

应用统计 · 统计学 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

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

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

Time-to-event data are often recorded on a discrete scale with multiple, competing risks as potential causes for the event. In this context, application of continuous survival analysis methods with a single risk suffer from biased…

统计方法学 · 统计学 2024-08-14 Willem van den Boom , Maria De Iorio , Fang Qian , Alessandra Guglielmi

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · 物理学 2009-10-31 Thomas Schreiber , Andreas Schmitz

Discrimination and calibration represent two important properties of survival analysis, with the former assessing the model's ability to accurately rank subjects and the latter evaluating the alignment of predicted outcomes with actual…

机器学习 · 计算机科学 2024-06-04 Shi-ang Qi , Yakun Yu , Russell Greiner
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