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Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

应用统计 · 统计学 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

Substantial advances in Bayesian methods for causal inference have been developed in recent years. We provide an introduction to Bayesian inference for causal effects for practicing statisticians who have some familiarity with Bayesian…

统计方法学 · 统计学 2023-12-12 Arman Oganisian , Jason A. Roy

Bayesian aggregation lets election forecasters combine diverse sources of information, such as state polls and economic and political indicators: as in our collaboration with The Economist magazine. However, the demands of real-time…

统计方法学 · 统计学 2025-10-23 Geonhee Han , Andrew Gelman , Aki Vehtari

Bayesian estimation of Gaussian graphical models has proven to be challenging because the conjugate prior distribution on the Gaussian precision matrix, the G-Wishart distribution, has a doubly intractable partition function. Recent…

神经元与认知 · 定量生物学 2014-09-10 Max Hinne , Alex Lenkoski , Tom Heskes , Marcel van Gerven

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

统计方法学 · 统计学 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

应用统计 · 统计学 2012-02-03 Zuofeng Shang , Murray K. Clayton

In the estimation of the causal effect under linear Structural Causal Models (SCMs), it is common practice to first identify the causal structure, estimate the probability distributions, and then calculate the causal effect. However, if the…

统计方法学 · 统计学 2021-03-16 Shunsuke Horii

Meta-analysis is widely used to integrate results from multiple experiments to obtain generalized insights. Since meta-analysis datasets are often heteroscedastic due to varying subgroups and temporal heterogeneity arising from experiments…

统计方法学 · 统计学 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa , Keiichi Ochiai , Takahiro Hoshino

Causal discovery is to learn cause-effect relationships among variables given observational data and is important for many applications. Existing causal discovery methods assume data sufficiency, which may not be the case in many real world…

机器学习 · 计算机科学 2022-06-20 Zijun Cui , Naiyu Yin , Yuru Wang , Qiang Ji

Causal effect moderation investigates how the effect of interventions (or treatments) on outcome variables changes based on observed characteristics of individuals, known as potential effect moderators. With advances in data collection,…

统计方法学 · 统计学 2024-11-26 Soham Bakshi , Walter Dempsey , Snigdha Panigrahi

Air pollution remains a major environmental risk factor that is often associated with adverse health outcomes. However, quantifying and evaluating its effects on human health is challenging due to the complex nature of exposure data. Recent…

统计方法学 · 统计学 2025-06-02 Soumyakanti Pan , Sudipto Banerjee

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

机器学习 · 统计学 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

We study Bayesian approaches to causal inference via propensity score regression. Much of the Bayesian literature on propensity score methods have relied on approaches that cannot be viewed as fully Bayesian in the context of conventional…

统计方法学 · 统计学 2022-02-01 David A. Stephens , Widemberg S. Nobre , Erica E. M. Moodie , Alexandra M. Schmidt

Mendelian randomization is an instrumental variable method that utilizes genetic information to investigate the causal effect of a modifiable exposure on an outcome. In most cases, the exposure changes over time. Understanding the…

统计方法学 · 统计学 2024-03-11 Haodong Tian , Ashish Patel , Stephen Burgess

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

Comparative meta-analyses of groups of subjects by integrating multiple observational studies rely on estimated propensity scores (PSs) to mitigate covariate imbalances. However, PS estimation grapples with the theoretical and practical…

统计方法学 · 统计学 2024-05-09 Subharup Guha , Yi Li

We present a Bayesian procedure for estimation of pairwise intervention effects in a high-dimensional system of categorical variables. We assume that we have observational data generated from an unknown causal Bayesian network for which…

统计方法学 · 统计学 2025-07-02 Vera Kvisgaard , Johan Pensar

Causal inference from observational data following the restricted structural causal models (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or…

机器学习 · 计算机科学 2024-05-30 Kang Du , Yu Xiang

Economists use quantitative trade and spatial models to make counterfactual predictions. Because such predictions often inform policy decisions, it is important to communicate the uncertainty surrounding them. Three key challenges arise in…

计量经济学 · 经济学 2025-05-20 Bas Sanders

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

统计方法学 · 统计学 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee