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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

Very unhealthy air quality is consistently connected with numerous diseases. Appropriate extreme analysis and accurate predictions are in rising demand for exploring potential linked causes and for providing suggestions for the…

Applications · Statistics 2023-08-25 Kai Wang , Chengxiu Ling , Ying Chen , Zhengjun Zhang

Time series in natural sciences, such as hydrology and climatology, and other environmental applications, often consist of continuous observations constrained to the unit interval (0,1). Traditional Gaussian-based models fail to capture…

The statistical behavior of weather variables of Antofagasta is described, especially the daily data of air as temperature, pressure and relative humidity measured at 08:00, 14:00 and 20:00. In this article, we use a time series…

Atmospheric and Oceanic Physics · Physics 2025-12-03 H. Farfan , A. Castillo , S. Curilef

The present paper, characterizes the invertibility and causality conditions of a periodic ARFIMA (PARFIMA) models. We first, discuss the conditions in the multivariate case, by considering the corresponding p-variate stationary ARFIMA…

Statistics Theory · Mathematics 2020-08-10 Amine Amimour , Karima Belaide

Air pollution is a result of multiple sources including both natural and anthropogenic activities. The rapid urbanization of the cities such as Bujumbura economic capital of Burundi, is one of these factors. The very first characterization…

Machine Learning · Statistics 2023-12-20 Egide Ndamuzi , Rachel Akimana , Paterne Gahungu , Elie Bimenyimana

Accurate forecasts of the US renewable-generation mix are critical for planning transmission upgrades, sizing storage, and setting balancing-market rules. We present a Bayesian Dirichlet ARMA (BDARMA) model for monthly shares of hydro,…

Applications · Statistics 2025-10-24 Harrison Katz , Thomas Maierhofer

Throughout human history, epidemics have been a constant presence. Understanding their dynamics is essential to predict scenarios and make substantiated decisions. Mathematical models are powerful tools to describe an epidemic behavior.…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Walter HMendes aselein , Diego Eckhard

We propose a seasonal AR model with time-varying parameter processes in both the regular and seasonal parameters. The model is parameterized to guarantee stability at every time point and can accommodate multiple seasonal periods. The time…

Methodology · Statistics 2025-12-30 Ganna Fagerberg , Mattias Villani , Robert Kohn

This paper analyses how Time Series Analysis techniques can be applied to capture movement of an exchange traded index in a stock market. Specifically, Seasonal Auto Regressive Integrated Moving Average (SARIMA) class of models is applied…

Statistical Finance · Quantitative Finance 2020-01-28 Amit Tewari

Environmental data often take the form of a collection of curves observed sequentially over time. An example of this includes daily pollution measurement curves describing the concentration of a particulate matter in ambient air. These…

Computation · Statistics 2016-08-26 Han Lin Shang

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

In this paper we consider a fractional stochastic volatility model, that is a model in which the volatility may exhibit a long-range dependent or a rough/antipersistent behavior. We propose a dynamic sequential Monte Carlo methodology that…

Methodology · Statistics 2017-02-28 Alexandra Chronopoulou , Konstantinos Spiliopoulos

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

This paper develops a new stochastic volatility model for the temperature that is a natural extension of the Ornstein-Uhlenbeck model proposed by Benth and Benth (2007). This model allows to be more conservative regarding extreme events…

Risk Management · Quantitative Finance 2023-08-11 Aurélien Alfonsi , Nerea Vadillo

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

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…

This paper describes a methodology (or treatment) to establish a representative signal of the global magnetic diurnal variation based on a spatial distribution in both longitude and latitude of a set of magnetic stations as well as their…

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

Machine Learning · Computer Science 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy