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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

Observational longitudinal data on treatments and covariates are increasingly used to investigate treatment effects, but are often subject to time-dependent confounding. Marginal structural models (MSMs), estimated using inverse probability…

统计方法学 · 统计学 2020-02-11 Ruth H. Keogh , Shaun R. Seaman , Jon Michael Gran , Stijn Vansteelandt

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

机器人学 · 计算机科学 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann

Longitudinal and survival sub-models are two building blocks for joint modelling of longitudinal and time to event data. Extensive research indicates separate analysis of these two processes could result in biased outputs due to their…

统计方法学 · 统计学 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

Time-to-event semi-competing risk endpoints may be correlated when both events are occurring on the same individual. These events and the association between them may also be influenced by individual characteristics. In this paper, we…

统计方法学 · 统计学 2023-04-07 Yinghui Wei , Malgorzata Wojtys , Lexy Sorrell , Peter Rowe

Robins 1997 introduced marginal structural models (MSMs), a general class of counterfactual models for the joint effects of time-varying treatment regimes in complex longitudinal studies subject to time-varying confounding. In his work,…

统计方法学 · 统计学 2020-07-27 Haben Michael , Yifan Cui , Scott Lorch , Eric Tchetgen Tchetgen

Recently, Bj{\o}ru et al. proposed a novel divide-and-conquer algorithm for bounding counterfactual probabilities in structural causal models (SCMs). They assumed that the SCMs were learned from purely observational data, leading to an…

人工智能 · 计算机科学 2025-11-19 Anna Rodum Bjøru , Rafael Cabañas , Helge Langseth , Antonio Salmerón

Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

统计方法学 · 统计学 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

统计方法学 · 统计学 2025-02-25 John Zito , Daniel R. Kowal

Copulas. We study the model risk of multivariate risk models in a comprehensive empirical study on Copula-GARCH models used for forecasting Value-at-Risk and Expected Shortfall. To determine whether model risk inherent in the forecasting of…

风险管理 · 定量金融 2021-09-24 Simon Fritzsch , Maike Timphus , Gregor Weiss

Use of copula for the purpose of modeling dependence has been receiving considerable attention in recent times. On the other hand, search for multivariate copulas with desirable dependence properties also is an important area of research.…

统计方法学 · 统计学 2025-02-18 Subhajit Chattopadhyay

We propose a comprehensive Bayesian approach for graphical model determination in observational studies that can accommodate binary, ordinal or continuous variables simultaneously. Our new models are called copula Gaussian graphical models…

应用统计 · 统计学 2011-08-09 Adrian Dobra , Alex Lenkoski

Marginal structural models (MSMs) allow for causal analysis of longitudinal data. The MSMs were originally developed as discrete time models. Recently, continuous-time MSMs were presented as a conceptually appealing alternative for survival…

统计方法学 · 统计学 2019-02-14 Pål Christie Ryalen , Mats Julius Stensrud , Kjetil Røysland

We exploit Gaussian copulas to specify a class of multivariate circular distributions and obtain parametric models for the analysis of correlated circular data. This approach provides a straightforward extension of traditional multivariate…

统计方法学 · 统计学 2024-06-07 Francesco Lagona , Marco Mingione

We propose a new methodology based on the Marshall-Olkin (MO) copula to model cross-border systemic risk. The proposed framework estimates the impact of the systematic and idiosyncratic components on systemic risk. Initially, we propose a…

风险管理 · 定量金融 2014-11-06 Raffaella Calabrese , Silvia Osmetti

Model selection is an important activity in modern data analysis and the conventional Bayesian approach to this problem involves calculation of marginal likelihoods for different models, together with diagnostics which examine specific…

统计计算 · 统计学 2008-10-31 David J. Nott , Robert J. Kohn , Mark Fielding

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

统计方法学 · 统计学 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

There is increasing interest in flexible parametric models for the analysis of time-to-event data, yet Bayesian approaches that offer incorporation of prior knowledge remain underused. A flexible Bayesian parametric model has recently been…

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

Simulating longitudinal data from specified marginal structural models is a crucial but challenging task for evaluating causal inference methods and informing study design. While data generation typically proceeds in a fully conditional…

统计方法学 · 统计学 2025-04-25 Xi Lin , Daniel de Vassimon Manela , Chase Mathis , Jens Magelund Tarp , Robin J. Evans
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