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The coronavirus pandemic has rapidly evolved into an unprecedented crisis. The susceptible-infectious-removed (SIR) model and its variants have been used for modeling the pandemic. However, time-independent parameters in the classical…

Populations and Evolution · Quantitative Biology 2020-09-09 Hyokyoung G. Hong , Yi Li

Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical…

The COVID-19 pandemic has highlighted delayed reporting as a significant impediment to effective disease surveillance and decision-making. In the absence of timely data, statistical models which account for delays can be adopted to nowcast…

Applications · Statistics 2020-11-19 Oliver Stoner , Theo Economou , Alba Halliday

We introduce a new probabilistic model to estimate the real spread of the novel SARS-CoV-2 virus along regions or countries. Our model simulates the behavior of each individual in a population according to a probabilistic model through an…

Populations and Evolution · Quantitative Biology 2020-05-05 Marcos Matabuena , Carlos Meijide-García , Pablo Rodríguez-Mier , Víctor Leborán

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

Count-valued time series data are routinely collected in many application areas. We are particularly motivated to study the count time series of daily new cases, arising from COVID-19 spread. We propose two Bayesian models, a time-varying…

Methodology · Statistics 2021-03-10 Arkaprava Roy , Sayar Karmakar

This paper extends the canonical model of epidemiology, the SIRD model, to allow for time-varying parameters for real-time measurement and prediction of the trajectory of the Covid-19 pandemic. Time variation in model parameters is captured…

Econometrics · Economics 2023-02-01 Cem Cakmakli , Yasin Simsek

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

We propose a causal hidden Markov model to achieve robust prediction of irreversible disease at an early stage, which is safety-critical and vital for medical treatment in early stages. Specifically, we introduce the hidden variables which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jing Li , Botong Wu , Xinwei Sun , Yizhou Wang

Autoregressive (AR) models are useful tools in time series analysis. Inferences under such models are distorted in the presence of measurement error, which is very common in practice. In this article, we establish analytical results for…

Methodology · Statistics 2022-03-11 Qihuang Zhang , Grace Y. Yi

We propose a simple model of spreading of some infection in an originally healthy population which is different from other models existing in the literature. In particular, we use an operator technique which allows us to describe in a…

Populations and Evolution · Quantitative Biology 2020-10-29 F. Bagarello , F. Gargano , F. Roccati

The new corona virus disease -- COVID-2019 -- is rapidly spreading through the world. The availability of unbiased timely statistics of trends in disease events are a key to effective responses. But due to reporting delays, the most…

Populations and Evolution · Quantitative Biology 2020-06-15 Adam Altmejd , Joacim Rocklöv , Jonas Wallin

Data describing human interactions often suffer from incomplete sampling of the underlying population. As a consequence, the study of contagion processes using data-driven models can lead to a severe underestimation of the epidemic risk.…

Physics and Society · Physics 2015-11-19 Mathieu Génois , Christian L. Vestergaard , Ciro Cattuto , Alain Barrat

In this paper, we propose a method to analyze correlations in pandemic-related data across different geographical regions, relying on the analysis of correlations for non-stationary time series, which are typical of pandemic data. Unlike…

Applications · Statistics 2026-04-06 Pablo Carlos López , Marcos Flores , Soham Biswas

Recent outbreak of the novel coronavirus COVID-19 has affected all of our lives in one way or the other. While medical researchers are working hard to find a cure and doctors/nurses to attend the affected individuals, measures such as…

Methodology · Statistics 2020-07-23 Arkaprava Roy , Sayar Karmakar

The ongoing Coronavirus Disease 2019 (COVID-19) pandemic threatens the health of humans and causes great economic losses. Predictive modelling and forecasting the epidemic trends are essential for developing countermeasures to mitigate this…

Populations and Evolution · Quantitative Biology 2020-06-01 Ling Xue , Shuanglin Jing , Joel C. Miller , Wei Sun , Huafeng Li , Jose Guillermo Estrada-Franco , James M Hyman , Huaiping Zhu

This paper develops an individual-based stochastic network SIR model for the empirical analysis of the Covid-19 pandemic. It derives moment conditions for the number of infected and active cases for single as well as multigroup epidemic…

Econometrics · Economics 2022-01-05 M. Hashem Pesaran , Cynthia Fan Yang

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

Information Theory · Computer Science 2017-02-09 Jonathan Mei , José M. F. Moura

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya