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Popular parametric and semiparametric hazards regression models for clustered survival data are inappropriate and inadequate when the unknown effects of different covariates and clustering are complex. This calls for a flexible modeling…

Applications · Statistics 2021-03-16 Piyali Basak , Antonio R. Linero , Debajyoti SInha , Stuart Lipsitz

We propose a class of continuous-time Markov counting processes for analyzing correlated binary data and establish a correspondence between these models and sums of exchangeable Bernoulli random variables. Our approach generalizes many…

Methodology · Statistics 2014-08-28 Forrest W. Crawford , Daniel Zelterman

The mixture cure rate model is the most commonly used cure rate model in the literature. In the context of mixture cure rate model, the standard approach to model the effect of covariates on the cured or uncured probability is to use a…

Methodology · Statistics 2022-08-23 Suvra Pal , Yingwei Peng , Sandip Barui , Pei Wang

In this work, we propose a new Bayesian spatial homogeneity pursuit method for survival data under the proportional hazards model to detect spatially clustered patterns in baseline hazard and regression coefficients. Specially, regression…

Applications · Statistics 2021-02-24 Lijiang Geng , Guanyu Hu

We develop a variational Bayesian (VB) approach for estimating large-scale dynamic network models in the network autoregression framework. The VB approach allows for the automatic identification of the dynamic structure of such a model and…

Methodology · Statistics 2021-02-19 Wei-Ting Lai , Ray-Bing Chen , Ying Chen , Thorsten Koch

Causal inference for observational longitudinal studies often requires the accurate estimation of treatment effects on time-to-event outcomes in the presence of time-dependent patient history and time-dependent covariates. To tackle this…

Machine Learning · Statistics 2022-06-17 Jie Zhu , Blanca Gallego

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

Machine Learning · Computer Science 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Survival analysis encompasses a broad range of methods for analyzing time-to-event data, with one key objective being the comparison of survival curves across groups. Traditional approaches for identifying clusters of survival curves often…

Methodology · Statistics 2025-12-19 Nora M. Villanueva , Marta Sestelo , Luis Meira-Machado

Extensive bedside monitoring in Intensive Care Units (ICUs) has resulted in complex temporal data regarding patient physiology, which presents an upscale context for clinical data analysis. In the other hand, identifying the time-series…

Machine Learning · Computer Science 2023-08-25 Manel Mili , Asma Kerkeni , Asma Ben Abdallah , Mohamed Hedi Bedoui

This paper studies the problem of performing a sequence of optimal interventions in a causal dynamical system where both the target variable of interest and the inputs evolve over time. This problem arises in a variety of domains e.g.…

Machine Learning · Statistics 2021-10-27 Virginia Aglietti , Neil Dhir , Javier González , Theodoros Damoulas

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

While Bayesian methods are extremely popular in statistics and machine learning, their application to massive datasets is often challenging, when possible at all. Indeed, the classical MCMC algorithms are prohibitively slow when both the…

Statistics Theory · Mathematics 2019-04-23 Pierre Alquier , James Ridgway

Bayesian hierarchical linear models provide a natural framework to analyze nested and clustered data. Classical estimation with Markov chain Monte Carlo produces well calibrated posterior distributions but becomes computationally expensive…

Methodology · Statistics 2025-12-16 Cristian Parra-Aldana , Juan Sosa

Variational Bayes (VB), also known as independent mean-field approximation, has become a popular method for Bayesian network inference in recent years. Its application is vast, e.g. in neural network, compressed sensing, clustering, etc. to…

Information Theory · Computer Science 2018-03-30 Viet Hung Tran

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

Methodology · Statistics 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

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…

Methodology · Statistics 2026-04-28 Hongxiang Qiu , Marco Carone , Alex Luedtke , Peter B. Gilbert

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott

Telling apart the cause and effect between two random variables with purely observational data is a challenging problem that finds applications in various scientific disciplines. A key principle utilized in this task is the algorithmic…

Machine Learning · Computer Science 2025-08-15 Quang-Duy Tran , Bao Duong , Phuoc Nguyen , Thin Nguyen

Bayesian forecasting is developed in multivariate time series analysis for causal inference. Causal evaluation of sequentially observed time series data from control and treated units focuses on the impacts of interventions using…

Methodology · Statistics 2024-06-21 Graham Tierney , Christoph Hellmayr , Greg Barkimer , Kevin Li , Mike West

Background: The most widely used approach to joint modelling of repeated measurement and time to event data is to combine a linear Gaussian random effects model for the repeated measurements with a log-Gaussian frailty model for the…

Methodology · Statistics 2016-09-12 Elisabeth Waldmann , David Taylor-Robinson