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We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

Methodology · Statistics 2023-01-12 Leopoldo Catania , Anna Gloria Billé

We study the predictive power of autoregressive moving average models when forecasting demand in two shared computational networks, PlanetLab and Tycoon. Demand in these networks is very volatile, and predictive techniques to plan usage in…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-11-15 Thomas Sandholm

Ambient noise tomography relies on the assumption that the seismic wavefield is equipartitioned. In practice, ambient noise sources are spatially and temporally heterogeneous, producing biased estimates of the Green's function between…

Geophysics · Physics 2026-02-17 Sanket Narayan Bajad , Pushkar Bharadwaj , Pawan Bharadwaj

We consider maximum likelihood estimation for both causal and noncausal autoregressive time series processes with non-Gaussian $\alpha$-stable noise. A nondegenerate limiting distribution is given for maximum likelihood estimators of the…

Statistics Theory · Mathematics 2009-08-14 Beth Andrews , Matthew Calder , Richard A. Davis

In response to global concerns regarding air quality and the environmental impact of greenhouse gas emissions, detecting and quantifying sources of emissions has become critical. To understand this impact and target mitigations effectively,…

Applications · Statistics 2024-10-14 Thomas Newman , Christopher Nemeth , Matthew Jones , Philip Jonathan

In this paper, we focus on the model specification problem in multivariate spatial econometric models when a candidate set for the spatial weights matrix is available. We propose a model selection method for the multivariate spatial…

Methodology · Statistics 2025-09-09 Xin Miao , Fang Fang , Xuening Zhu , Hansheng Wang

Accurate reporting and forecasting of PM2.5 concentration are important for improving public health. In this paper, we propose a daily prediction method of PM2.5 concentration by using data-driven ordinary differential equation (ODE)…

Atmospheric and Oceanic Physics · Physics 2018-08-14 Yufang Wang , Haiyan Wang , Shuhua Zhang

This paper investigates two environmental applications related to climate change, where observations consist of bounded counts. The binomial and beta-binomial (BB) models are commonly used for bounded count data, with the BB model offering…

Accurate and reliable data stream plays an important role in air quality assessment. Air pollution data collected from monitoring networks, however, could be biased due to instrumental error or other interventions, which covers up the real…

Applications · Statistics 2019-01-15 Yaqiong Wang , Minya Xu , Hui Huang , Songxi Chen

The univariate integer-valued time series has been extensively studied, but literature on multivariate integer-valued time series models is quite limited and the complex correlation structure among the multivariate integer-valued time…

Methodology · Statistics 2023-12-01 Weiyang Yu , Haitao Zheng

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

Methodology · Statistics 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

Air pollution is a major risk factor for global health, with both ambient and household air pollution contributing substantial components of the overall global disease burden. One of the key drivers of adverse health effects is fine…

A buffered double autoregressive (BDAR) time series model is proposed in this paper to depict the buffering phenomenon of conditional mean and conditional variance in time series. To build this model, a novel flexible regime switching…

Methodology · Statistics 2018-10-30 Zhao Liu

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 repulsive mixture model to cluster observation units represented by multivariate functional data, based on similarity of curve shapes and individual-specific covariates. We propose a repulsive prior distribution for the…

In this work we propose a generalized additive functional regression model for partially observed functional data. Our approach accommodates functional predictors of varying dimensions without requiring imputation of missing observations.…

Methodology · Statistics 2025-11-03 Pavel Hernández-Amaro , Maria Durban , M. Carmen Aguilera-Morillo

We present a re-parameterization of vector autoregressive moving average (VARMA) models that allows estimation of parameters under the constraints of causality and invertibility. The parameter constraints associated with a causal invertible…

Statistics Theory · Mathematics 2014-06-19 Anindya Roy , Tucker S. McElroy , Peter Linton

A wealth of epidemiological data suggests an association between mortality/morbidity from pulmonary and cardiovascular adverse events and air pollution, but uncertainty remains as to the extent implied by those associations although the…

Applications · Statistics 2008-06-16 Massimo Bilancia , Girolamo Stea

While nonlinear stochastic partial differential equations arise naturally in spatiotemporal modeling, inference for such systems often faces two major challenges: sparse noisy data and ill-posedness of the inverse problem of parameter…

Numerical Analysis · Mathematics 2019-08-22 Fei Lu , Nils Weitzel , Adam H. Monahan

Estimating health benefits of reducing fossil fuel use from improved air quality provides important rationales for carbon emissions abatement. Simulating pollution concentration is a crucial step of the estimation, but traditional…

General Economics · Economics 2021-06-01 Da Zhang , Qingyi Wang , Shaojie Song , Simiao Chen , Mingwei Li , Lu Shen , Siqi Zheng , Bofeng Cai , Shenhao Wang