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Many disease models focus on characterizing the underlying transmission mechanism but make simple, possibly naive assumptions about how infections are reported. In this note, we use a simple deterministic Susceptible-Infected-Removed (SIR)…

种群与进化 · 定量生物学 2019-11-28 Sang Woo Park , Benjamin M. Bolker

In Part 1, we introduced a stochastic model of an infectious disease, based on the BDI (birth and death with immigration) process. We showed that random processes defined by this model can capture the essence of the stochastic, often…

种群与进化 · 定量生物学 2021-01-28 Hisashi Kobayashi

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

应用统计 · 统计学 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

Transmission rates are key in understanding the spread of infectious diseases. Using the framework of compartmental models, we introduce a simple method that enables us to reconstruct time series of transmission rates directly from…

定量方法 · 定量生物学 2016-05-06 Alexander Lange

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

种群与进化 · 定量生物学 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

We derive confidence intervals and confidence sequences for causal effects in situations where the back-door or front-door criteria are applicable. Our tightest confidence intervals hold in the standard setting where the training data…

统计理论 · 数学 2026-05-26 Vladimir Vovk , Ruodu Wang

Widely used methods and software for group sequential tests of a null hypothesis of no treatment difference that allow for early stopping of a clinical trial depend primarily on the fact that sequentially-computed test statistics have the…

统计方法学 · 统计学 2025-06-19 Anastasios A. Tsiatis , Marie Davidian

Independence testing is a classical statistical problem that has been extensively studied in the batch setting when one fixes the sample size before collecting data. However, practitioners often prefer procedures that adapt to the…

Group sequential designs in clinical trials allow for interim efficacy and futility monitoring. Adjustment for baseline covariates can increase power and precision of estimated effects. However, inconsistently applying covariate adjustment…

统计方法学 · 统计学 2023-08-11 Marlena S. Bannick , Sonya L. Heltshe , Noah Simon

This paper is concerned with SIR (susceptible $\to$ infected $\to$ removed) household epidemic models in which the infection response may be either mild or severe, with the type of response also affecting the infectiousness of an…

概率论 · 数学 2010-05-26 Frank Ball , Tom Britton , David Sirl

Network robustness against attacks is one of the most fundamental researches in network science as it is closely associated with the reliability and functionality of various networking paradigms. However, despite the study on intrinsic…

社会与信息网络 · 计算机科学 2015-06-23 Pin-Yu Chen , Shin-Ming Cheng

After more than 6 million deaths worldwide, the ongoing vaccination to conquer the COVID-19 disease is now competing with the emergence of increasingly contagious mutations, repeatedly supplanting earlier strains. Following the near-absence…

种群与进化 · 定量生物学 2022-05-09 Fabian Jan Schwarzendahl , Jens Grauer , Benno Liebchen , Hartmut Löwen

In the dynamic hospital setting, decision support can be a valuable tool for improving patient outcomes. Data-driven inference of future outcomes is challenging in this dynamic setting, where long sequences such as laboratory tests and…

定量方法 · 定量生物学 2024-04-25 Alan D. Kaplan , Priyadip Ray , John D. Greene , Vincent X. Liu

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

统计理论 · 数学 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

The generation interval is the time between the infection time of an infected person and the infection time of his or her infector. Probability density functions for generation intervals have been an important input for epidemic models and…

定量方法 · 定量生物学 2023-10-24 Eben Kenah , Marc Lipsitch , James M. Robins

We study the spreading of cooperative infections in an empirical temporal network of contacts between people, including health care workers and patients, in a hospital. The system exhibits a phase transition leading to one or several…

物理与社会 · 物理学 2018-02-08 Jorge P. Rodríguez , Fakhteh Ghanbarnejad , Víctor M. Eguíluz

Early detection of person-to-person transmission of emerging infectious diseases such as avian influenza is crucial for containing pandemics. We developed a simple permutation test and its refined version for this purpose. A simulation…

应用统计 · 统计学 2007-09-14 Yang Yang , Ira M. Longini , M. Elizabeth Halloran

A compartmental deterministic model that allows (1) immunity from two stages of infection and carriage, and (2) disease induced death, is used in studying the dynamics of meningitis epidemic process in a closed population. It allows for…

种群与进化 · 定量生物学 2023-04-04 S. J Yaga , F. W. O Saporu

Early prediction of the prevalence of influenza reduces its impact. Various studies have been conducted to predict the number of influenza-infected people. However, these studies are not highly accurate especially in the distant future such…

机器学习 · 计算机科学 2019-07-08 Kenjiro Kondo , Akihiko Ishikawa , Masashi Kimura