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This study investigated the performance, explainability, and robustness of deployed artificial intelligence (AI) models in predicting mortality during the COVID-19 pandemic and beyond. The first study of its kind, we found that Bayesian…

Machine Learning · Computer Science 2023-11-30 Jacob R. Epifano , Stephen Glass , Ravi P. Ramachandran , Sharad Patel , Aaron J. Masino , Ghulam Rasool

Maximum-likelihood estimation (MLE) is arguably the most important tool for statisticians, and many methods have been developed to find the MLE. We present a new inequality involving posterior distributions of a latent variable that holds…

Statistics Theory · Mathematics 2019-12-10 Niels Lundtorp Olsen

Some patients with COVID-19 show changes in signs and symptoms such as temperature and oxygen saturation days before being positively tested for SARS-CoV-2, while others remain asymptomatic. It is important to identify these subgroups and…

Methodology · Statistics 2024-10-22 Xiaoran Ma , Wensheng Guo , Mengyang Gu , Len Usvyat , Peter Kotanko , Yuedong Wang

Graph convolutional neural networks (GCNs) have shown tremendous promise in addressing data-intensive challenges in recent years. In particular, some attempts have been made to improve predictions of Susceptible-Infected-Recovered (SIR)…

Machine Learning · Statistics 2025-01-07 Petr Kisselev , Padmanabhan Seshaiyer

Introduction: Real-world data generated from clinical practice can be used to analyze the real-world evidence (RWE) of COVID-19 pharmacotherapy and validate the results of randomized clinical trials (RCTs). Machine learning (ML) methods are…

Machine Learning · Computer Science 2021-07-22 Aurelia Bustos , Patricio Mas_Serrano , Mari L. Boquera , Jose M. Salinas

The problem of skewness is common among clinical trials and survival data which has being the research focus derivation and proposition of different flexible distributions. Thus, a new distribution called Extended Rayleigh Lomax…

Statistics Theory · Mathematics 2021-09-15 N. I. Badmus , O. Faweya , S. A. Ige

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…

A semiempirical model, based in the logistic map, has been succesfully applied to forecast important quantities along the several phases of the outbreak of the covid-19 for different countries. This paper shows how the model was calibrated…

Quantitative Methods · Quantitative Biology 2020-04-21 Juan C. Mora , Sandra Pérez , Ignacio Rodríguez , Asunción Núñez , Alla Dvorzhak

Recently Balakrishnan and Iliopoulos [Ann. Inst. Statist. Math. 61 (2009)] gave sufficient conditions under which maximum likelihood estimator (MLE) is stochastically increasing. In this paper we study test plans which are not considered…

Statistics Theory · Mathematics 2011-10-27 Piotr Nowak

In this paper, we consider a discrete-time stochastic SIR model, where the transmission rate and the true number of infectious individuals are random and unobservable. An advantage of this model is that it permits us to account for random…

Physics and Society · Physics 2024-01-30 Katia Colaneri , Camilla Damian , Rüdiger Frey

Sequential Monte Carlo methods are a powerful framework for approximating the posterior distribution of a state variable in a sequential manner. They provide an attractive way of analyzing dynamic systems in real-time, taking into account…

Populations and Evolution · Quantitative Biology 2024-08-29 Dhorasso Temfack , Jason Wyse

The last two centuries have seen a significant increase in life expectancy. Although past trends suggest that mortality will continue to decline in the future, uncertainty and instability about the development is greatly increased due to…

Applications · Statistics 2023-11-28 Asmik Nalmpatian , Christian Heumann , Stefan Pilz

Compartmental models are used in epidemiology to capture the evolution of infectious diseases such as COVID-19 in a population by assigning members of it to compartments with labels such as susceptible, infected, and recovered. In a…

Formal Languages and Automata Theory · Computer Science 2024-02-15 Tim Leys , Guillermo A. Perez

Motivated by studying asymptotic properties of the maximum likelihood estimator (MLE) in stochastic volatility (SV) models, in this paper we investigate likelihood estimation in state space models. We first prove, under some regularity…

Statistics Theory · Mathematics 2010-11-15 Cheng-Der Fuh

We have developed a globally applicable diagnostic Covid-19 model by augmenting the classical SIR epidemiological model with a neural network module. Our model does not rely upon previous epidemics like SARS/MERS and all parameters are…

Physics and Society · Physics 2020-11-24 Raj Dandekar , Chris Rackauckas , George Barbastathis

We study maximum likelihood estimation for the statistical model for undirected random graphs, known as the $\beta$-model, in which the degree sequences are minimal sufficient statistics. We derive necessary and sufficient conditions, based…

Other Statistics · Statistics 2013-06-19 Alessandro Rinaldo , Sonja Petrović , Stephen E. Fienberg

Epidemiological forecasts are beset by uncertainties about the underlying epidemiological processes, and the surveillance process through which data are acquired. We present a Bayesian inference methodology that quantifies these…

In contrast to the popular Cox model which presents a multiplicative covariate effect specification on the time to event hazards, the semiparametric additive risks model (ARM) offers an attractive additive specification, allowing for direct…

Methodology · Statistics 2022-03-21 Tong Wang , Dipankar Bandyopadhyay , Samiran Sinha

The COVID-19 pandemic has impacted lives and economies across the globe, leading to many deaths. While vaccination is an important intervention, its roll-out is slow and unequal across the globe. Therefore, extensive testing still remains…

No, they can't. Epidemic spread is characterized by exponentially growing dynamics, which are intrinsically unpredictable. The time at which the growth in the number of infected individuals halts and starts decreasing cannot be calculated…

Populations and Evolution · Quantitative Biology 2022-05-20 Mario Castro , Saúl Ares , José A. Cuesta , Susanna Manrubia