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Fine particulate matter (PM2.5) is associated with adverse human health effects, and China is currently suffering from serious PM2.5 pollution. To obtain spatially continuous ground-level PM2.5 concentrations, several models established by…

Atmospheric and Oceanic Physics · Physics 2017-03-08 Tongwen Li , Huanfeng Shen , Chao Zeng , Qiangqiang Yuan , Liangpei Zhang

Ambient air pollution poses significant health and environmental challenges. Exposure to high concentrations of PM$_{2.5}$ have been linked to increased respiratory and cardiovascular hospital admissions, more emergency department visits…

Applications · Statistics 2026-02-27 Zeinab Mohamed , Wenlong Gong

Latent autoregressive processes are a popular choice to model time varying parameters. These models can be formulated as nonlinear state space models for which inference is not straightforward due to the high number of parameters. Therefore…

Computation · Statistics 2019-11-01 Alexander Kreuzer , Claudia Czado

A series of experiments in stationary and moving passenger rail cars were conducted to measure removal rates of particles in the size ranges of SARS-CoV-2 viral aerosols, and the air changes per hour provided by existing and modified air…

Methodology · Statistics 2024-06-28 Soumyakanti Pan , Darpan Das , Gurumurthy Ramachandran , Sudipto Banerjee

Low-cost mobile sensors can be used to collect PM$_{2.5}$ concentration data throughout an entire city. However, identifying air pollution hotspots from the data is challenging due to the uneven spatial sampling, temporal variations in the…

This study develops a Bayesian hierarchical model to explore the effects of air pollution on respiratory and cardiovascular mortality in Los Angeles County. The model takes into account various pollutants such as PM2.5, PM10, CO, SO2, NO2…

Applications · Statistics 2025-01-29 Yanfei Qu , David A. Stephens

Capturing the potentially strong dependence among the peak concentrations of multiple air pollutants across a spatial region is crucial for assessing the related public health risks. In order to investigate the multivariate spatial…

Applications · Statistics 2018-04-13 Sabrina Vettori , Raphaël Huser , Marc G. Genton

State space models are well-known for their versatility in modeling dynamic systems that arise in various scientific disciplines. Although parametric state space models are well studied, nonparametric approaches are much less explored in…

Methodology · Statistics 2015-07-23 Satyaki Mazumder , Sourabh Bhattacharya

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

Applications · Statistics 2018-10-12 Pavel Krupskii , Marc G. Genton

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

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

In the absence of Gaussianity assumptions without disturbing spatial continuity interpolating along the whole spatial surface for different time lags is challenging. The past researchers pay enough attention to Spatio-temporal interpolation…

Applications · Statistics 2022-11-28 Debjoy Thakur , Ishapathik Das

Interpolating a skewed conditional spatial random field with missing data is cumbersome in the absence of Gaussianity assumptions. Maintaining spatial homogeneity and continuity around the observed random spatial point is also challenging,…

Methodology · Statistics 2022-05-27 Debjoy Thakur , Ishapathik Das , Shubhashree Chakravarty

The last two decades have seen intense scientific and regulatory interest in the health effects of particulate matter (PM). Influential epidemiological studies that characterize chronic exposure of individuals rely on monitoring data that…

Applications · Statistics 2009-06-09 Christopher J. Paciorek , Jeff D. Yanosky , Robin C. Puett , Francine Laden , Helen H. Suh

Pollutant emissions from coal-burning power plants have been deemed to adversely impact ambient air quality and public health conditions. Despite the noticeable reduction in emissions and the improvement of air quality since the Clean Air…

Methodology · Statistics 2019-01-07 Chanmin Kim , Corwin M Zigler , Michael J Daniels , Christine Choirat , Jason A Roy

Air pollution remains one of the most formidable environmental threats to human health globally, particularly in urban areas, contributing to nearly 7 million premature deaths annually. Megacities, defined as cities with populations…

Machine Learning · Computer Science 2024-07-17 Harun Khan , Joseph Tso , Nathan Nguyen , Nivaan Kaushal , Ansh Malhotra , Nayel Rehman

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

Machine Learning · Statistics 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön

This paper addresses the problem of quantification and propagation of uncertainties associated with dependence modeling when data for characterizing probability models are limited. Practically, the system inputs are often assumed to be…

Computation · Statistics 2020-04-14 Jiaxin Zhang , Michael D. Shields

The state estimation problem for nonlinear systems with stochastic uncertainties can be formulated in the Bayesian framework, where the objective is to replace the state completely by its probability density function. Without the…

Optimization and Control · Mathematics 2024-04-04 Lukas Ecker , Kurt Schlacher

We propose to construct copulas from the inversion of nonlinear state space models. These allow for new time series models that have the same serial dependence structure of a state space model, but with an arbitrary marginal distribution,…

Methodology · Statistics 2017-10-24 Michael Stanley Smith , Worapree Maneesoonthorn