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The Hazard Ratio (HR) is often reported as the main causal effect when studying survival data. Despite its popularity, the HR suffers from an unclear causal interpretation. As already pointed out in the literature, there is a built-in…

统计方法学 · 统计学 2022-03-08 Rachel Axelrod , Daniel Nevo

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 conducted a systematic comparison of statistical methods used for the analysis of time-to-event outcomes under various proportional and nonproportional hazard (NPH) scenarios. Our study used data from recently published oncology trials…

应用统计 · 统计学 2025-02-12 Xinyu Zhang , Erich J. Greene , Ondrej Blaha , Wei Wei

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

统计方法学 · 统计学 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

The hazard ratio is one of the most commonly reported measures of treatment effect in randomised trials, yet the source of much misinterpretation. This point was made clear by (Hernan, 2010) in commentary, which emphasised that the hazard…

统计理论 · 数学 2018-10-23 Torben Martinussen , Stijn Vansteelandt , Per Kragh Andersen

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

统计理论 · 数学 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

The rapid expansion of large-scale electronic health record (EHR) data offers unique opportunities to improve the accuracy and efficiency of clinical risk estimation. Yet, because clinical events may occur outside the recording health…

统计方法学 · 统计学 2026-05-11 Jie Zhou , Enhao Wang , Xuan Wang

In the process of clinical diagnosis and treatment, the restricted mean survival time (RMST), which reflects the life expectancy of patients up to a specified time, can be used as an appropriate outcome measure. However, the RMST only…

应用统计 · 统计学 2021-06-22 Zijing Yang , Hongji Wu , Yawen Hou , Hao Yuan , Zheng Chen

Competing risk data appear widely in modern biomedical research. Cause-specific hazard models are often used to deal with competing risk data in the past two decades. There is no current study on the kernel likelihood method for the…

统计方法学 · 统计学 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

统计方法学 · 统计学 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

Randomized controlled trials (RCTs) face inherent limitations, such as ethical or resource constraints, which lead to a limited number of study participants. To address these limitations, recent research endeavors have sought to incorporate…

统计方法学 · 统计学 2025-02-20 Peijin Wang , Hwanhee Hong , Kyungeun Jeon , Laine Elliott Thomas

The Cox regression model and its associated hazard ratio (HR) are frequently used for summarizing the effect of treatments on time to event outcomes. However, the HR's interpretation strongly depends on the assumed underlying survival…

统计方法学 · 统计学 2021-08-10 Pablo Martinez-Camblor , Todd A. MacKenzie , A. James O'Malley

Restricted mean survival time (RMST) models have gained popularity when analyzing time-to-event outcomes because RMST models offer more straightforward interpretations of treatment effects with fewer assumptions than hazard ratios commonly…

统计方法学 · 统计学 2023-10-23 Kaiyuan Hua , Xiaofei Wang , Hwanhee Hong

For toxicology studies, the validation of the concurrent control group by historical control data (HCD) has become requirements. This validation is usually done by historical control limits (HCL), which should cover the observations of the…

应用统计 · 统计学 2025-07-18 Max Menssen , Jonathan Rathjens

The restricted mean survival time (RMST) difference offers an interpretable causal contrast to estimate the treatment effect for time-to-event outcomes, yet a wide range of available estimators leaves limited guidance for practice. We…

统计方法学 · 统计学 2026-03-02 Charlotte Voinot , Clément Berenfeld , Imke Mayer , Bernard Sebastien , Julie Josse

Competing risks data refer to situations where the occurrence of one event pre- cludes the possibility of other events happening, resulting in multiple mutually exclusive events. This data type is commonly encountered in medical research…

统计方法学 · 统计学 2025-10-21 Fatemeh Mahmoudi , Chenxi Li , Kaida Cai , Xuewen Lu

The Mantel-Haenszel (MH) risk difference estimator, commonly used in randomized clinical trials for binary outcomes, calculates a weighted average of stratum-specific risk difference estimators. Traditionally, this method requires the…

统计方法学 · 统计学 2025-05-12 Xiaoyu Qiu , Yuhan Qian , Jaehwan Yi , Jinqiu Wang , Yu Du , Yanyao Yi , Ting Ye

Accurate time-to-event prediction is integral to decision-making, informing medical guidelines, hiring decisions, and resource allocation. Survival analysis, the quantitative framework used to model time-to-event data, accounts for patients…

机器学习 · 计算机科学 2025-08-08 Vincent Jeanselme , Brian Tom , Jessica Barrett

Background: Randomized controlled trials (RCTs) are costly, time-consuming, and often infeasible, while treatment-effect estimation from observational data is limited by unobserved confounding. Methods: We developed a three-step framework…

The mean past lifetime (MPL) is an important tool in reliability and survival analysis for measuring the average time elapsed since the occurrence of an event, under the condition that the event has occurred before a specific time $t>0$.…

统计方法学 · 统计学 2021-05-21 Elham Zamanzade , Majid Asadi , Afshin Parvardeh , Ehsan Zamanzade