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The problem of dealing with misreported data is very common in a wide range of contexts for different reasons. The current situation caused by the Covid-19 worldwide pandemic is a clear example, where the data provided by official sources…

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

Count-valued autoregressions are widely used to analyse time-series of reported infectious-disease cases because of their close connection with discrete-time transmission models. However, when such models are applied directly to…

Applications · Statistics 2025-09-16 Justin J. Slater , Sindi Bebeziqi

This paper investigates various ways in which a pandemic such as the novel coronavirus, could be predicted using different mathematical models. It also studies the various ways in which these models could be depicted using various…

General Economics · Economics 2021-02-16 Shailesh Bharati , Rahul Batra

We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

Methodology · Statistics 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

Official freely available data about the number of infected at the finest possible level of spatial areal aggregation (Italian provinces) are used to model the spatio-temporal distribution of COVID-19 infections at local level. Data time…

Applications · Statistics 2020-03-23 Diego Giuliani , Maria Michela Dickson , Giuseppe Espa , Flavio Santi

This paper extends the canonical model of epidemiology, SIRD model, to allow for time varying parameters for real-time measurement of the stance of the COVID-19 pandemic. Time variation in model parameters is captured using the generalized…

Populations and Evolution · Quantitative Biology 2021-02-11 Cem Cakmakli , Yasin Simsek

A timely understanding of the spatiotemporal pattern and development trend of COVID-19 is critical for timely prevention and control. However, the under-reporting of cases is widespread in fields associated with public health. It is also…

Populations and Evolution · Quantitative Biology 2024-01-15 Peixiao Wang , Tao Hu , Hongqiang Liu , Xinyan Zhu

The novel coronavirus disease (COVID-19) has spread rapidly across the world in a short period of time and with a heterogeneous pattern. Understanding the underlying temporal and spatial dynamics in the spread of COVID-19 can result in…

Applications · Statistics 2023-04-25 Abdollah Jalilian , Jorge Mateu

The present paper introduces a data-driven framework for describing the time-varying nature of an SIRD model in the context of COVID-19. By embedding a rolling regression in a mixed integer bilevel nonlinear programming problem, our aim is…

Populations and Evolution · Quantitative Biology 2021-03-04 Javier Rubio-Herrero , Yuchen Wang

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

The mathematical modeling of infectious diseases is a fundamental research field for the planning of strategies to contain outbreaks. The models associated with this field of study usually have exponential prior assumptions in the number of…

Signal Processing · Electrical Eng. & Systems 2020-07-02 Jhony H. Giraldo , Thierry Bouwmans

Governments around the world continue to act to contain and mitigate the spread of COVID-19. The rapidly evolving situation compels officials and executives to continuously adapt policies and social distancing measures depending on the…

Applications · Statistics 2021-02-19 Giacomo De Nicola , Marc Schneble , Göran Kauermann , Ursula Berger

The present paper introduces a new model used to study and analyse the severe acute respiratory syndrome coronavirus 2 (SARS-CoV2) epidemic-reported-data from Spain. This is a Hidden Markov Model whose hidden layer is a regeneration process…

We propose a new centered autologistic spatio-temporal model for binary data on a lattice. The centering allows the interpretation of the autoregression coefficients in separating the large scale structure of the model corresponding to an…

Applications · Statistics 2018-11-19 Anne Gégout-Petit , Lucia Guérin-Dubrana , Shuxian Li

We model the COVID-19 coronavirus epidemic in China. We use early reported case data to predict the cumulative number of reported cases to a final size. The key features of our model are the timing of implementation of major public policies…

Populations and Evolution · Quantitative Biology 2020-02-28 Zhihua Liu , Pierre Magal , Ousmane Seydi , Glenn Webb

The ongoing pandemic of Coronavirus disease (COVID-19) emerged in Wuhan, China in the end of 2019. It has already affected more than 300,000 people, with the number of deaths nearing 13000 across the world. As it has been posing a huge…

Applications · Statistics 2020-03-25 Soudeep Deb , Manidipa Majumdar

The emergence of Covid-19 requires new effective tools for epidemiological surveillance. Spatio-temporal disease mapping models, which allow dealing with highly disaggregated spatial and temporal units of analysis, are a priority in this…

Applications · Statistics 2020-11-10 Miguel A. Martinez-Beneito , Jorge Mateu , Paloma Botella-Rocamora

Understanding the spatio-temporal patterns of the coronavirus disease 2019 (COVID-19) is essential to construct public health interventions. Spatially referenced data can provide richer opportunities to understand the mechanism of the…

Methodology · Statistics 2022-07-15 Jaewoo Park , Seorim Yi , Won Chang , Jorge Mateu

COVID-19 pandemic has reshaped our world in a timescale much shorter than what we can understand. Particularities of SARS-CoV-2, such as its persistence in surfaces and the lack of a curative treatment or vaccine against COVID-19, have…

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