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Motivated by the problem of accurately predicting gap times between successive blood donations, we present here a general class of Bayesian nonparametric models for clustering. These models allow for prediction of new recurrences,…

统计方法学 · 统计学 2022-10-18 Raffaele Argiento , Riccardo Corradin , Alessandra Guglielmi , Ettore Lanzarone

We propose a novel approach to estimate the Cox model with temporal covariates. Our new approach treats the temporal covariates as arising from a longitudinal process which is modeled jointly with the event time. Different from the…

统计方法学 · 统计学 2018-02-05 Xiaoqi Zhang , Xiaobing Zhao , Yanqiao Zheng

The limitations resulting from the dichtomisation of continuous outcomes have been extensively described. But the need to present results based on binary outcomes in particular in health science remains. Alternatives based on the…

统计方法学 · 统计学 2025-01-15 Odile Sauzet

Survival analysis is widely deployed in a diverse set of fields, including healthcare, business, ecology, etc. The Cox Proportional Hazard (CoxPH) model is a semi-parametric model often encountered in the literature. Despite its popularity,…

机器学习 · 计算机科学 2025-05-29 Chengzhi Shi , Stratis Ioannidis

We analyse sequential Markov coalescent algorithms for populations with demographic structure: for a bottleneck model, a population-divergence model, and for a two-island model with migration. The sequential Markov coalescent method is an…

种群与进化 · 定量生物学 2025-10-01 A. Eriksson , B. Mahjani , B. Mehlig

We define a time dependent empirical process based on $n$ i.i.d.~fractional Brownian motions and establish Gaussian couplings and strong approximations to it by Gaussian processes. They lead to functional laws of the iterated logarithm for…

概率论 · 数学 2016-06-21 Péter Kevei , David M. Mason

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

机器学习 · 统计学 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

Survival analysis plays a crucial role in estimating the likelihood of future events for patients by modeling time-to-event data, particularly in healthcare settings where predictions about outcomes such as death and disease recurrence are…

机器学习 · 计算机科学 2024-10-01 Muhammad Ridzuan , Numan Saeed , Fadillah Adamsyah Maani , Karthik Nandakumar , Mohammad Yaqub

It is often of interest to study the association between covariates and the cumulative incidence of a right-censored time-to-event outcome. When time-varying covariates are measured on a fixed discrete time scale, it is desirable to account…

统计方法学 · 统计学 2026-04-28 Hongxiang Qiu , Marco Carone , Alex Luedtke , Peter B. Gilbert

We study the variable selection problem in survival analysis to identify the most important factors affecting survival time. Our method incorporates prior knowledge of mutual correlations among variables, represented through a graph. We…

统计理论 · 数学 2025-04-25 Liyan Xie , Xi He , Pinar Keskinocak , Yao Xie

We propose discrete random-field models that are based on random partitions of $\mathbb{N}^2$. The covariance structure of each random field is determined by the underlying random partition. Functional central limit theorems are established…

概率论 · 数学 2018-02-13 Olivier Durieu , Yizao Wang

We provide a novel approach and an exploratory study for modelling life event choices and occurrence from a probabilistic perspective through causal discovery and survival analysis. Our approach is formulated as a bi-level problem. In the…

Studies of the effects of medical interventions increasingly take place in distributed research settings using data from multiple clinical data sources including electronic health records and administrative claims. In such settings, privacy…

统计方法学 · 统计学 2021-01-06 Martijn J. Schuemie , Yong Chen , David Madigan , Marc A. Suchard

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

统计方法学 · 统计学 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

Sequential Monte Carlo methods are a powerful framework for approximating the posterior distribution of a state variable in a sequential manner. They provide an attractive way of analyzing dynamic systems in real-time, taking into account…

种群与进化 · 定量生物学 2024-08-29 Dhorasso Temfack , Jason Wyse

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

统计方法学 · 统计学 2011-08-03 Xiaoru Wu , Zhiliang Ying

This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

统计方法学 · 统计学 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

The present work analyzes stationary distributions of active Brownian particles in a harmonic trap. Generally, obtaining stationary distributions for this system is non-trivial, and up to date no exact expressions are available. In this…

统计力学 · 物理学 2023-12-12 Derek Frydel

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 quantile residual lifetime (QRL) regression is an attractive tool for assessing covariate effects on the distribution of residual life expectancy, which is often of interest in clinical studies. When the study subjects are exposed to…

统计方法学 · 统计学 2025-03-04 Tonghui Yu , Liming Xiang , Jong-Hyeon Jeong