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Conditional copulas are flexible statistical tools that couple joint conditional and marginal conditional distributions. In a linear regression setting with more than one covariate and two dependent outcomes, we propose the use of additive…

Methodology · Statistics 2014-07-31 Avideh Sabeti , Mian Wei , Radu V. Craiu

Due to the latest environmental concerns in keeping at bay contaminants emissions in urban areas, air pollution forecasting has been rising the forefront of all researchers around the world. When predicting pollutant concentrations, it is…

We develop a Bayesian spatio-temporal framework for extreme-value analysis that augments a hierarchical copula model with an autoregressive factor to capture residual temporal dependence in threshold exceedances. The factor can be specified…

Methodology · Statistics 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

Methodology · Statistics 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

For exchangeable data, mixture models are an extremely useful tool for density estimation due to their attractive balance between smoothness and flexibility. When additional covariate information is present, mixture models can be extended…

Methodology · Statistics 2023-08-01 Sara Wade , Vanda Inacio , Sonia Petrone

A fully Bayesian approach is proposed for ultrahigh-dimensional nonparametric additive models in which the number of additive components may be larger than the sample size, though ideally the true model is believed to include only a small…

Methodology · Statistics 2013-09-24 Zuofeng Shang , Ping Li

Distributed lag models are useful in environmental epidemiology as they allow the user to investigate critical windows of exposure, defined as the time period during which exposure to a pollutant adversely affects health outcomes. Recent…

Methodology · Statistics 2021-08-02 Joseph Antonelli , Ander Wilson , Brent Coull

Penalized B-splines are routinely used in additive models to describe smooth changes in a response with quantitative covariates. It is typically done through the conditional mean in the exponential family using generalized additive models…

Methodology · Statistics 2020-05-12 Philippe Lambert

Standard causal inference characterizes treatment effect through averages, but the counterfactual distributions could be different in not only the central tendency but also spread and shape. To provide a comprehensive evaluation of…

Methodology · Statistics 2022-11-04 Steven G. Xu , Shu Yang , Brian J. Reich

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

In many scientific disciplines, coarse-grained causal models are used to explain and predict the dynamics of more fine-grained systems. Naturally, such models require appropriate macrovariables. Automated procedures to detect suitable…

Machine Learning · Computer Science 2021-11-30 Benedikt Höltgen

Analyses of environmental phenomena often are concerned with understanding unlikely events such as floods, heatwaves, droughts or high concentrations of pollutants. Yet the majority of the causal inference literature has focused on…

Methodology · Statistics 2021-09-09 Shuo Sun , Erica E. M. Moodie , Johanna G. Nešlehová

Additive models are flexible regression tools that handle linear as well as nonlinear terms. The latter are typically modelled via smoothing splines. Additive mixed models extend additive models to include random terms when the data are…

Methodology · Statistics 2019-06-10 Marco Geraci

In air pollution studies, dispersion models provide estimates of concentration at grid level covering the entire spatial domain, and are then calibrated against measurements from monitoring stations. However, these different data sources…

Applications · Statistics 2020-08-17 Chiara Forlani , Samir Bhatt , Michela Cameletti , Elias Krainski , Marta Blangiardo

Particulate matter pollution is one of the deadliest types of air pollution worldwide due to its significant impacts on the global environment and human health. Particulate Matter (PM2.5) is one of the important particulate pollutants to…

Signal Processing · Electrical Eng. & Systems 2020-02-27 Jalpa Shah , Biswajit Mishra

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

Methodology · Statistics 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

The analysis of environmental mixtures is of growing importance in environmental epidemiology, and one of the key goals in such analyses is to identify exposures and their interactions that are associated with adverse health outcomes.…

Methodology · Statistics 2021-03-22 Srijata Samanta , Joseph Antonelli

Density regression provides a flexible strategy for modeling the distribution of a response variable $Y$ given predictors $\mathbf{X}=(X_1,\ldots,X_p)$ by letting that the conditional density of $Y$ given $\mathbf{X}$ as a completely…

Statistics Theory · Mathematics 2016-01-07 Weining Shen , Subhashis Ghosal

Wildfires pose an increasingly severe threat to air quality, yet quantifying their causal impact remains challenging due to unmeasured meteorological and geographic confounders. Moreover, wildfire impacts on air quality may exhibit…

Applications · Statistics 2025-12-19 Zipei Geng , Jordan Richards , Raphael Huser , Marc G. Genton

Ambient air pollution remains a critical issue in the United Kingdom, where data on air pollution concentrations form the foundation for interventions aimed at improving air quality. However, the current air pollution monitoring station…

Applications · Statistics 2024-01-18 Liam J Berrisford , Lucy S Neal , Helen J Buttery , Benjamin R Evans , Ronaldo Menezes