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The analysis of data arising from environmental health studies which collect a large number of measures of exposure can benefit from using latent variable models to summarize exposure information. However, difficulties with estimation of…

Applications · Statistics 2009-08-21 Brisa N. Sánchez , Esben Budtz-Jørgensen , Louise M. Ryan

Although distributed lag non-linear models (DLNMs) are commonly used to quantify delayed and non-linear exposure-response relationships, most existing applications assume that these relationships are constant across space. However, in many…

Methodology · Statistics 2026-04-13 Sara Rutten , Thomas Neyens , Elisa Duarte , Antonio Gasparrini , Christel Faes

Assessing the causal effect of time-varying exposures on recurrent event processes is challenging in the presence of a terminating event. Our objective is to estimate both the short-term and delayed marginal causal effects of exposures on…

We present a statistical modelling framework for implementing Distributed Lag Models (DLMs), encompassing several extensions of the approach to capture the temporally distributed effect from covariates via regression. We place DLMs in the…

In epidemiological research, modeling the cumulative effects of time-dependent exposures on survival outcomes presents a challenge due to their intricate temporal dynamics. Conventional spline-based statistical methods, though effective,…

Machine Learning · Computer Science 2026-01-01 Kang-Chung Yang , Shinsheng Yuan

Air quality is closely related to public health. Health issues such as cardiovascular diseases and respiratory diseases, may have connection with long exposure to highly polluted environment. Therefore, accurate air quality forecasts are…

Applications · Statistics 2019-12-17 Haolin Fei , Xiaofeng Wu , Chunbo Luo

We present an estimation procedure for nonlinear mixed-effects models in which the population trajectory is represented by penalized splines and adapted to individuals via subject-specific transformation parameters. By exploiting the mixed…

Methodology · Statistics 2026-03-13 Matteo D'Alessandro , Magne Thoresen , Øystein Sørensen

Poor air quality has become an increasingly critical challenge for many metropolitan cities, which carries many catastrophicphysical and mental consequences on human health and quality of life. However, accurately monitoring and forecasting…

Signal Processing · Electrical Eng. & Systems 2020-02-03 Qi Zhang , Jacqueline CK Lam , Victor OK Li , Yang Han

Children's health studies support an association between maternal environmental exposures and children's birth outcomes. A common goal is to identify critical windows of susceptibility--periods during gestation with increased association…

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

In environmental epidemiology studies, health response data (e.g. hospitalization or mortality) are often noisy because of hospital organization and other social factors. The noise in the data can hide the true signal related to the…

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

Environmental epidemiologic studies routinely utilize aggregate health outcomes to estimate effects of short-term (e.g., daily) exposures that are available at increasingly fine spatial resolutions. However, areal averages are typically…

Applications · Statistics 2023-02-07 Yuzi Zhang , Howard H. Chang , Joshua L. Warren , Stefanie T. Ebelt

Additive noise models (ANMs) are an important setting studied in causal inference. Most of the existing works on ANMs assume causal sufficiency, i.e., there are no unobserved confounders. This paper focuses on confounded ANMs, where a set…

Methodology · Statistics 2024-07-16 Muhammad Qasim Elahi , Mahsa Ghasemi , Murat Kocaoglu

Several epidemiological studies have provided evidence that long-term exposure to fine particulate matter (PM2.5) increases mortality risk. Furthermore, some population characteristics (e.g., age, race, and socioeconomic status) might play…

Methodology · Statistics 2023-11-01 Dafne Zorzetto , Falco J. Bargagli-Stoffi , Antonio Canale , Francesca Dominici

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra

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.…

Non-linear mixed effects modeling and simulation (NLME M&S) is evaluated to be used for standardization with longitudinal data in presence of confounders. Standardization is a well-known method in causal inference to correct for confounding…

Environmental epidemiologists are increasingly interested in establishing causality between exposures and health outcomes. A popular model for causal inference is the Rubin Causal Model (RCM), which typically seeks to estimate the average…

Applications · Statistics 2021-01-26 Keith W. Zirkle , Marie-Abele Bind , Jenise L. Swall , David C. Wheeler

Studies have shown that exposure to air pollution, even at low levels, significantly increases mortality. As regulatory actions are becoming prohibitively expensive, robust evidence to guide the development of targeted interventions to…

Applications · Statistics 2018-02-20 Kwonsang Lee , Dylan S. Small , Francesca Dominici