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In comparative research on time-to-event data for two groups, when two survival curves cross each other, it may be difficult to use the log-rank test and hazard ratio (HR) to properly assess the treatment benefit. Our aim was to identify a…

统计方法学 · 统计学 2021-12-21 Xinghui Huang , Jingjing Lyu , Yawen Hou , Zheng Chen

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

统计方法学 · 统计学 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

Clinical trials or studies oftentimes require long-term and/or costly follow-up of participants to evaluate a novel treatment/drug/vaccine. There has been increasing interest in the past few decades in using short-term surrogate outcomes as…

统计方法学 · 统计学 2024-12-19 Xuan Wang , Tianxi Cai , Lu Tian , Layla Parast

While the inverse probability of treatment weighting (IPTW) is a commonly used approach for treatment comparisons in observational data, the resulting estimates may be subject to bias and excessively large variance when there is lack of…

统计方法学 · 统计学 2024-02-13 Zhiqiang Cao , Lama Ghazi , Claudia Mastrogiacomo , Laura Forastiere , F. Perry Wilson , Fan Li

We consider priors for several nonparametric Bayesian models which use finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

统计理论 · 数学 2015-02-10 Weining Shen , Subhashis Ghosal

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

统计方法学 · 统计学 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

Bayesian methods have proven themselves to be successful across a wide range of scientific problems and have many well-documented advantages over competing methods. However, these methods run into difficulties for two major and prevalent…

统计方法学 · 统计学 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

Reduced-Rank (RR) regression is a powerful dimensionality reduction technique but it overlooks any possible group configuration among the responses by assuming a low-rank structure on the entire coefficient matrix. Moreover, the temporal…

统计方法学 · 统计学 2025-12-22 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

Survival analysis is a valuable tool for estimating the time until specific events, such as death or cancer recurrence, based on baseline observations. This is particularly useful in healthcare to prognostically predict clinically important…

机器学习 · 计算机科学 2024-01-11 Ahmed H. Shahin , An Zhao , Alexander C. Whitehead , Daniel C. Alexander , Joseph Jacob , David Barber

This paper presents a conformal prediction procedure to generate two-sided or one-sided prediction intervals for survival times in the presence of right censoring. Specifically, the method provides two-sided predictive bounds for…

统计方法学 · 统计学 2025-06-23 Chris Holmes , Ariane Marandon

A nonparametric Bayes approach is proposed for the problem of estimating a sparse sequence based on Gaussian random variables. We adopt the popular two-group prior with one component being a point mass at zero, and the other component being…

统计方法学 · 统计学 2017-05-31 Yunbo Ouyang , Feng Liang

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

统计理论 · 数学 2010-10-07 Yuao Hu

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

机器学习 · 计算机科学 2023-12-12 Chris Solomou

The sample mean is often used to aggregate different unbiased estimates of a parameter, producing a final estimate that is unbiased but possibly high-variance. This paper introduces the Bayesian median of means, an aggregation rule that…

统计理论 · 数学 2019-06-05 Paulo Orenstein

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

统计方法学 · 统计学 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

We consider planning longitudinal covariate measurements in follow-up studies where covariates are time-varying. We assume that the entire cohort cannot be selected for longitudinal measurements due to financial limitations and study how a…

统计方法学 · 统计学 2024-07-03 Jaakko Reinikainen , Juha Karvanen

Many complex diseases are known to be affected by the interactions between genetic variants and environmental exposures beyond the main genetic and environmental effects. Study of gene-environment (G$\times$E) interactions is important for…

统计方法学 · 统计学 2019-10-01 Jie Ren , Fei Zhou , Xiaoxi Li , Qi Chen , Hongmei Zhang , Shuangge Ma , Yu Jiang , Cen Wu

Marginal structural models (MSMs) are often used to estimate causal effects of treatments on survival time outcomes from observational data when time-dependent confounding may be present. They can be fitted using, e.g., inverse probability…

统计方法学 · 统计学 2023-12-27 Shaun R Seaman , Ruth H Keogh

Prior specification for nonparametric Bayesian inference involves the difficult task of quantifying prior knowledge about a parameter of high, often infinite, dimension. Realistically, a statistician is unlikely to have informed opinions…

统计方法学 · 统计学 2012-05-01 David C. Kessler , Peter D. Hoff , David B. Dunson

In this paper, we develop a semiparametric sensitivity analysis approach designed to address unmeasured confounding in observational studies with time-to-event outcomes. We target estimation of the marginal distributions of potential…

统计方法学 · 统计学 2025-11-21 Linda Amoafo , Shiyao Xu , Elizabeth Platz , Daniel Scharfstein
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