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Parametric autoregressive moving average models with exogenous terms (ARMAX) have been widely used in the literature. Usually, these models consider a conditional mean or median dynamics, which limits the analysis. In this paper, we…

Methodology · Statistics 2022-06-02 Alan Dasilva , Helton Saulo , Roberto Vila , Jose A. Fiorucci , Suvra Pal

Atmospheric modeling has recently experienced a surge with the advent of deep learning. Most of these models, however, predict concentrations of pollutants following a data-driven approach in which the physical laws that govern their…

Applications · Statistics 2021-07-08 Javier Rubio-Herrero , Carlos Ortiz Marrero , Wai-Tong Louis Fan

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

Accurate air pollution forecasting plays a crucial role in controlling air quality and minimizing adverse effects on human life. Among pollutants, atmospheric particulate matter (PM) is particularly significant, affecting both visibility…

Applications · Statistics 2023-09-19 Sean Jeon , Seungmin Han

In practice, several time series exhibit long-range dependence or persistence in their observations, leading to the development of a number of estimation and prediction methodologies to account for the slowly decaying autocorrelations. The…

Computation · Statistics 2016-09-09 Javier E. Contreras-Reyes , Wilfredo Palma

We propose a novel flexible bivariate conditional Poisson (BCP) INteger-valued Generalized AutoRegressive Conditional Heteroscedastic (INGARCH) model for correlated count time series data. Our proposed BCP-INGARCH model is mathematically…

Methodology · Statistics 2020-11-18 Luiza S. C. Piancastelli , Wagner Barreto-Souza , Hernando Ombao

A Bayesian multiple change-point model is proposed to analyse violations of air quality standards by pollutants such as nitrogen oxides (NO2 and NO) and carbon monoxide (CO). The model is built on the assumption that the occurrence of…

Applications · Statistics 2010-12-10 Janos Gyarmati-Szabo , Leonid V. Bogachev , Haibo Chen

This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their technical…

Methodology · Statistics 2014-04-01 Alexander Aue , Diogo Dubart Norinho , Siegfried Hörmann

This study presents a comparative analysis of three predictive models with an increasing degree of flexibility: hidden dynamic geostatistical models (HDGM), generalised additive mixed models (GAMM), and the random forest spatiotemporal…

Bayesian model averaging (BMA) is a statistical method for post-processing forecast ensembles of atmospheric variables, obtained from multiple runs of numerical weather prediction models, in order to create calibrated predictive probability…

Methodology · Statistics 2014-04-09 Sándor Baran

Air pollution is a vital issue emerging from the uncontrolled utilization of traditional energy sources as far as developing countries are concerned. Hence, ingenious air pollution forecasting methods are indispensable to minimize the risk.…

Machine Learning · Computer Science 2022-11-29 Dhanalakshmi M , Radha V

Recent technological advances have enabled researchers in a variety of fields to collect accurately geocoded data for several variables simultaneously. In many cases it may be most appropriate to jointly model these multivariate spatial…

Methodology · Statistics 2015-05-29 Maria A. Terres , Montserrat Fuentes , Dean Hesterberg , Matthew Polizzotto

We propose a recursive Bayesian estimation procedure for multivariate autoregressive models with exogenous inputs based on message passing in a factor graph. Unlike recursive least-squares, our method produces full posterior distributions…

Signal Processing · Electrical Eng. & Systems 2025-06-04 T. N. Nisslbeck , Wouter M. Kouw

We propose a robust multi-fidelity Gaussian process for integrating sparse, high-quality reference monitors with dense but noisy citizen-science sensors. The approach replaces the Gaussian log-likelihood in the high-fidelity channel with a…

Methodology · Statistics 2025-11-21 Camilla Andreozzi , Pietro Colombo , Philipp Otto

Length-biased distributions arise naturally in environmental, reliability, and economic studies where the sampling mechanism favors larger observational units. In this paper, we propose a quantile regression model based on the length-biased…

Methodology · Statistics 2026-05-27 Helton Saulo , Tailine Nonato , Roberto Vila

The CAMS air quality multi-model forecasts have been assessed and calibrated for PM10, PM2.5, O3, NO2, and CO against observations collected by the Regional Monitoring Network of the Liguria region (northwestern Italy) in the years 2019 and…

Atmospheric and Oceanic Physics · Physics 2022-07-27 Gabriele Casciaro , Mattia Cavaiola , Andrea Mazzino

Time series forecasting (TSF) is essential in various domains, and recent advancements in diffusion-based TSF models have shown considerable promise. However, these models typically adopt traditional diffusion patterns, treating TSF as a…

Machine Learning · Computer Science 2024-12-13 Jiaxin Gao , Qinglong Cao , Yuntian Chen

Multiple Sclerosis (MS) is a chronic autoimmune and inflammatory neurological disorder characterised by episodes of symptom exacerbation, known as relapses. In this study, we investigate the role of environmental factors in relapse…

Urban pollution poses serious health risks, particularly in relation to traffic-related air pollution, which remains a major concern in many cities. Vehicle emissions contribute to respiratory and cardiovascular issues, especially for…

Machine Learning · Computer Science 2024-12-30 Sen Yan , David J. O'Connor , Xiaojun Wang , Noel E. O'Connor , Alan F. Smeaton , Mingming Liu

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
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