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Distributional reinforcement learning (DRL) has achieved empirical success in various domains. One core task in DRL is distributional policy evaluation, which involves estimating the return distribution $\eta^\pi$ for a given policy $\pi$.…

机器学习 · 统计学 2025-01-17 Yang Peng , Liangyu Zhang , Zhihua Zhang

In this paper, we consider survival analysis with right-censored data which is a common situation in predictive maintenance and health field. We propose a model based on the estimation of two-parameter Weibull distribution conditionally to…

统计方法学 · 统计学 2020-02-24 Achraf Bennis , Sandrine Mouysset , Mathieu Serrurier

In this review, we present a simple guide for researchers to obtain pseudo-random samples with censored data. We focus our attention on the most common types of censored data, such as type I, type II, and random censoring. We discussed the…

Measures of relative variability, such as the Pearson's coefficient of variation (CV$_p$), give much insight into the spread of lifetime distributions, like the Weibull distribution. The estimation of the Weibull CV$_p$ in modern statistics…

统计方法学 · 统计学 2025-11-21 Bankitdor M Nongrum , Adarsha Kumar Jena

For randomized controlled trials to be conclusive, it is important to set the target sample size accurately at the design stage. Comparing two normal populations, the sample size calculation requires specification of the variance other than…

统计方法学 · 统计学 2026-02-04 Hirotada Maeda , Satoshi Hattori , Tim Friede

Investigating the causal relationship between exposure and the time-to-event outcome is an important topic in biomedical research. Previous literature has discussed the potential issues of using the hazard ratio as a marginal causal effect…

统计方法学 · 统计学 2022-05-05 Zihan Lin , Ai Ni , Bo Lu

The sample size of a clinical trial relies on information about nuisance parameters such as the outcome variance. When no or only limited information is available, it has been proposed to include an internal pilot study in the design of the…

应用统计 · 统计学 2017-07-18 Tobias Mütze , Tim Friede

Adaptive sample size re-estimation (SSR) is a well-established strategy for improving the efficiency and flexibility of clinical trials. Its central challenge is determining whether, and by how much, to increase the sample size at an…

统计方法学 · 统计学 2025-10-20 Rui Jin , Cai Wu , Qiqi Deng

In this paper, we develop double acceptance sampling plan and group acceptance sampling plan for an inverse Weibull distribution based on a truncated life test. We consider the median lifetime of the test units as a quality parameter and…

应用统计 · 统计学 2017-11-21 Sukhdev Singh , Yogesh Mani Tripathi

Some years ago, Snapinn and Jiang[1] considered the interpretation and pitfalls of absolute versus relative treatment effect measures in analyses of time-to-event outcomes. Through specific examples and analytical considerations based…

应用统计 · 统计学 2021-09-01 Christos Argyropoulos

Phase-3 clinical trials provide the highest level of evidence on drug safety and effectiveness needed for market approval by implementing large randomized controlled trials (RCTs). However, 30-40% of these trials fail mainly because such…

应用统计 · 统计学 2024-01-09 Sayeri Lala , Niraj K. Jha

In reliability and life data analysis, the Weibull distribution is widely used to accommodate more data characteristics by changing the values of the parameters. We frequently observe many zeros or close to zero data points in reliability…

统计方法学 · 统计学 2022-06-06 Sumangal Bhattacharya , Ishapathik Das , Muralidharan Kunnummal

In large observational studies, the case-cohort design is commonly used to reduce the cost associated with covariate measurement. For survival outcomes, literature has suggested that the restricted mean survival time (RMST) be a more…

统计方法学 · 统计学 2026-05-08 Andy Ni , Wei-En Lu , Bo Lu

The restricted mean survival time (RMST) is the mean survival time in the study population followed up to a specific time point, and is simply the area under the survival curve up to the specific time point. The difference between two RMSTs…

统计方法学 · 统计学 2025-09-18 Peter Zhang , Brent Logan , Michael Martens

Binary endpoints are common in clinical trials and conditional odds ratios have traditionally been used to assess treatment effects. However, the interpretation of odds ratios is difficult, they are non-collapsible and rely on strong…

统计方法学 · 统计学 2026-05-20 Martin Schnuerch , Alex Ocampo , Klaus Kähler Holst , Christian Stock

We propose Bayesian nonparametric Weibull delegate racing (WDR) for survival analysis with competing events and achieve both model interpretability and flexibility. Utilizing a natural mechanism of surviving competing events, we assume a…

统计方法学 · 统计学 2023-08-25 Quan Zhang , Yanxun Xu , Mei-Cheng Wang , Mingyuan Zhou

The restricted mean survival time (RMST) is a widely used quantity in survival analysis due to its straightforward interpretation. For instance, predicting the time to event based on patient attributes is of great interest when analyzing…

统计理论 · 数学 2025-03-11 Ariane Cwiling , Vittorio Perduca , Olivier Bouaziz

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

统计方法学 · 统计学 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

Typically, trials investigate the impact of either an individual-level intervention on participant outcomes, or the impact of a cluster-level intervention on participant outcomes. Factorial designs consider two (or more) treatments for each…

统计方法学 · 统计学 2026-05-04 Rhys Bowden , Rebecca Walwyn , Jessica Kasza , Andrew Copas , Fan Li , James Wason , Andrew Forbes

Hazard ratios are ubiquitously used in time to event analysis to quantify treatment effects. Although hazard ratios are invaluable for hypothesis testing, other measures of association, both relative and absolute, may be used to fully…

统计方法学 · 统计学 2020-11-02 Federico Ambrogi , Simona Iacobelli , Per Kragh Andersen