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For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

统计方法学 · 统计学 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Competing risks occur in survival analysis when multiple causes of death are present. They play a prominent role in several domains extending beyond biostatistics to encompass epidemiology, actuarial sciences, and reliability theory. This…

统计方法学 · 统计学 2026-04-30 Claudio Del Sole , Antonio Lijoi , Igor Prünster

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

统计方法学 · 统计学 2026-01-12 Saku Suorsa , Aki Vehtari

In Bayesian semi-parametric analyses of time-to-event data, non-parametric process priors are adopted for the baseline hazard function or the cumulative baseline hazard function for a given finite partition of the time axis. However, it…

统计方法学 · 统计学 2020-08-06 Yi Li , Sumi Seo , Kyu Ha Lee

The acute phase of the Covid-19 pandemic has made apparent the need for decision support based upon accurate epidemic modeling. This process is substantially hampered by under-reporting of cases and related data incompleteness issues. In…

应用统计 · 统计学 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

Tracking the spread of infectious disease during a pandemic has posed a great challenge to the governments and health sectors on a global scale. To facilitate informed public health decision-making, the concerned parties usually rely on…

统计方法学 · 统计学 2023-06-05 Tejasv Bedi , Yanxun Xu , Qiwei Li

This lecture note provides a self-contained introduction to Bayesian inference and Markov Chain Monte Carlo (MCMC) methods for parameter estimation in epidemic models. Using the classical Susceptible-Infectious-Recovered (SIR) compartmental…

统计方法学 · 统计学 2026-03-18 Augustine Okolie

Immune events such as infection, vaccination, and a combination of the two result in distinct time-dependent antibody responses in affected individuals. These responses and event prevalences combine non-trivially to govern antibody levels…

种群与进化 · 定量生物学 2024-04-16 Prajakta Bedekar , Rayanne A. Luke , Anthony J. Kearsley

Analysis of lifetime data from epidemiological studies or destructive testing often involves current status censoring, wherein individuals are examined only once and their event status is recorded only at that specific time point. In…

统计方法学 · 统计学 2024-10-15 Pavithra Hariharan , P. G. Sankaran

It is well recognised that animal and plant pathogens form complex ecological communities of interacting organisms within their hosts. Although community ecology approaches have been applied to determine pathogen interactions at the…

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

统计方法学 · 统计学 2022-02-22 Edwin Fong , Brieuc Lehmann

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

统计方法学 · 统计学 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

In the study of life tables the random variable of interest is usually assumed discrete since mortality rates are studied for integer ages. In dynamic life tables a time domain is included to account for the evolution effect of the hazard…

统计方法学 · 统计学 2021-12-21 Luis E. Nieto-Barajas

The COVID-19 pandemic provides new motivation for a classic problem in epidemiology: estimating the empirical rate of transmission during an outbreak (formally, the time-varying reproduction number) from case counts. While standard methods…

统计方法学 · 统计学 2020-12-08 Bryan Wilder , Michael J. Mina , Milind Tambe

The number of recurrent events before a terminating event is often of interest. For instance, death terminates an individual's process of rehospitalizations and the number of rehospitalizations is an important indicator of economic cost. We…

统计方法学 · 统计学 2021-12-30 Willem van den Boom , Maria De Iorio , Marta Tallarita

There is increasing interest in flexible parametric models for the analysis of time-to-event data, yet Bayesian approaches that offer incorporation of prior knowledge remain underused. A flexible Bayesian parametric model has recently been…

In the analysis of survival data, it is usually assumed that any unit will experience the event of interest if it is observed for a sufficient long time. However, one can explicitly assume that an unknown proportion of the population under…

统计方法学 · 统计学 2014-05-15 Vincent Bremhorst , Philippe Lambert

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…

Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

统计理论 · 数学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti
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