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Humans are routinely exposed to mixtures of chemical and other environmental factors, making the quantification of health effects associated with environmental mixtures a critical goal for establishing environmental policy sufficiently…

Measuring the impact of an environmental point source exposure on the risk of disease, like cancer or childhood asthma, is well-developed. Modeling how an environmental health hazard that is extensive in space, like a wastewater canal,…

Methodology · Statistics 2024-07-29 Rob Trangucci , Jesse Contreras , Jon Zelner , Joseph N. S. Eisenberg , Yang Chen

An important goal of environmental health research is to assess the risk posed by mixtures of environmental exposures. Two popular classes of models for mixtures analyses are response-surface methods and exposure-index methods.…

Methodology · Statistics 2025-05-01 Glen McGee , Ander Wilson , Thomas F. Webster , Brent A. Coull

This article is motivated by the problem of studying the joint effect of different chemical exposures on human health outcomes. This is essentially a nonparametric regression problem, with interest being focused not on a black box for…

Applications · Statistics 2020-04-17 Federico Ferrari , David B. Dunson

Accounting for exposure measurement errors has been recognized as a crucial problem in environmental epidemiology for over two decades. Bayesian hierarchical models offer a coherent probabilistic framework for evaluating associations…

Methodology · Statistics 2024-01-17 Changwoo J. Lee , Elaine Symanski , Amal Rammah , Dong Hun Kang , Philip K. Hopke , Eun Sug Park

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

Recent studies of associations between environmental exposures and health outcomes have shifted toward estimating the effect of simultaneous exposure to multiple chemicals. Summary index methods, such as the weighted quantile sum and…

Applications · Statistics 2025-02-21 Jacob Englert , Howard Chang

This paper presents an approach to estimating the health effects of an environmental hazard. The approach is general in nature, but is applied here to the case of air pollution. It uses a computer model involving ambient pollution and…

Applications · Statistics 2007-11-01 Gavin Shaddick , Duncan Lee , James V. Zidek , Ruth Salway

An important goal of environmental health research is to assess the health risks posed by mixtures of multiple environmental exposures. In these mixtures analyses, flexible models like Bayesian kernel machine regression and multiple index…

Methodology · Statistics 2025-12-29 Glen McGee , Joseph Antonelli

Analysis of observational studies increasingly confronts the challenge of determining which of a possibly high-dimensional set of available covariates are required to satisfy the assumption of ignorable treatment assignment for estimation…

Methodology · Statistics 2022-03-23 Chanmin Kim , Mauricio Tec , Corwin M Zigler

Air pollution remains a critical environmental and public health challenge, demanding high-resolution spatial data to better understand its spatial distribution and impacts. This study addresses the challenges of conducting multivariate…

Applications · Statistics 2025-03-18 Fernando Rodriguez Avellaneda , Erick A. Chacón-Montalván , Paula Moraga

Motivated by environmental policy questions, we address the challenges of estimation, change point detection, and uncertainty quantification of a causal exposure-response function (CERF). Under a potential outcome framework, the CERF…

Methodology · Statistics 2023-01-27 Boyu Ren , Xiao Wu , Danielle Braun , Natesh Pillai , Francesca Dominici

Exposures to environmental chemicals during gestation can alter health status later in life. Most studies of maternal exposure to chemicals during pregnancy have focused on a single chemical exposure observed at high temporal resolution.…

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

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

Environmental epidemiology has traditionally examined single exposure one at a time. Advances in exposure assessment and statistical methods now enable studies of multiple exposures and their combined health impacts. Bayesian Kernel Machine…

Methodology · Statistics 2026-02-02 Danlu Zhang , Stephanie M. Eick , Howard H. Chang

When constructing a Bayesian Machine Learning model, we might be faced with multiple different prior distributions and thus are required to properly consider them in a sensible manner in our model. While this situation is reasonably well…

Machine Learning · Computer Science 2021-04-20 Sarem Seitz

Epidemiological evidence supports an association between exposure to air pollution during pregnancy and birth and child health outcomes. Typically, such associations are estimated by regressing an outcome on daily or weekly measures of…

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

Methodology · Statistics 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

Methodology · Statistics 2026-01-21 Peterson Mambondimumwe , Sphiwe B. Skhosana , Najmeh Nakhaei Rad
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