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Epidemiologists increasingly use causal inference methods that rely on machine learning, as these approaches can relax unnecessary model specification assumptions. While deriving and studying asymptotic properties of such estimators is a…

Methodology · Statistics 2025-02-11 Audrey Renson , Lina Montoya , Dana E. Goin , Iván Díaz , Rachael K. Ross

The vast majority of models for the spread of communicable diseases are parametric in nature and involve underlying assumptions about how the disease spreads through a population. In this article we consider the use of Bayesian…

Methodology · Statistics 2017-06-12 Theodore Kypraios , Philip D. O'Neill

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

Methodology · Statistics 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

Methodology · Statistics 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

Methodology · Statistics 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta

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

The massive employment of computational models in network epidemiology calls for the development of improved inference methods for epidemic forecast. For simple compartment models, such as the Susceptible-Infected-Recovered model, Belief…

Physics and Society · Physics 2017-07-05 Jacopo Bindi , Alfredo Braunstein , Luca Dall'Asta

In conducting preliminary analysis during an epidemic, data on reported disease cases offer key information in guiding the direction to the in-depth analysis. Models for growth and transmission dynamics are heavily dependent on preliminary…

Quantitative Methods · Quantitative Biology 2021-06-15 Arni S. R. Srinivasa Rao

There has been much recent interest in modelling epidemics on networks, particularly in the presence of substantial clustering. Here, we develop pairwise methods to answer questions that are often addressed using epidemic models, in…

Populations and Evolution · Quantitative Biology 2010-12-10 Thomas House , Matt J Keeling

The inaccessibility of controlled randomized trials due to inherent constraints in many fields of science has been a fundamental issue in causal inference. In this paper, we focus on distinguishing the cause from effect in the bivariate…

Machine Learning · Statistics 2021-02-23 Jean-Francois Ton , Dino Sejdinovic , Kenji Fukumizu

This document is the Part IV of the book 'Stochastic Epidemic Models with Inference' edited by Tom Britton and Etienne Pardoux. It is written by Catherine Lar\'edo, with the contribution of Viet Chi Tran for the Chapter 4. Epidemic data…

Probability · Mathematics 2020-04-17 Catherine Larédo , Viet Chi Tran

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

Methodology · Statistics 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

Contact tracing is one of the most important control measures deployed during epidemics. Relying on the identification of contacts of known infected individuals, it necessitates a network perspective. Although pairwise models have been used…

Physics and Society · Physics 2026-03-05 Giulia de Meijere , Andrea Pugliese , Gerardo Iñiguez , Péter L. Simon , István Z. Kiss

We propose a method to classify the causal relationship between two discrete variables given only the joint distribution of the variables, acknowledging that the method is subject to an inherent baseline error. We assume that the causal…

Machine Learning · Statistics 2016-11-07 Krzysztof Chalupka , Frederick Eberhardt , Pietro Perona

In this paper, we show that many structured epidemic models may be described using a straightforward product structure. Such products, derived from products of directed graphs, may represent useful refinements including geographic and…

Populations and Evolution · Quantitative Biology 2017-06-30 Lee Worden , Travis C. Porco

We propose and analyze an epidemiological model for vector borne diseases that integrates a multi-stage vector population and several host sub-populations which may be characterized by a variety of compartmental model types: subpopulations…

Populations and Evolution · Quantitative Biology 2023-06-28 Francis G. T. Kamba , Leonard C. Eze , Jean Claude Kamgang , Christopher P. Thron

In several countries, including Italy, a prominent approach to population health surveillance involves conducting repeated cross-sectional surveys at short intervals of time. These surveys gather information on the health status of…

Applications · Statistics 2025-04-10 Mattia Stival , Lorenzo Schiavon , Stefano Campostrini

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

Methodology · Statistics 2025-12-02 William H. Press

Many models in mathematical epidemiology are developed with the aim to provide a framework for parameter estimation and then prediction. It is well-known that parameters are not always uniquely identifiable. In this paper we consider…

Dynamical Systems · Mathematics 2022-08-17 István Zoltán Kiss , Péter L. Simon

Establishing cause-effect relationships from observational data often relies on untestable assumptions. It is crucial to know whether, and to what extent, the conclusions drawn from non-experimental studies are robust to potential…

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