2 citations · 3 across the 5 of their papers we have counts for
6 papers
Approximating Peak Prevalence in Multistage SIR Epidemics
Denis Tverskoi, Andrew Gothard, Grzegorz A. Rempala
Estimating peak prevalence is a central problem in epidemic modeling because it determines the period of greatest infectious burden and is closely linked to health-care demand. In…
Poisson Network SIR Epidemic Model
Josephine K. Wairimu, Andrew Gothard, Grzegorz A. Rempala
We extend the classical Susceptible-Infected-Recovered (SIR) model to a network-based framework where the degree distribution of nodes follows a Poisson distribution. This extensio…
Infinitesimal Homeostasis in Mass-Action Systems
Jiaxin Jin, Grzegorz A. Rempala
Homeostasis occurs in a biological system when a chosen output variable remains approximately constant despite changes in an input variable. In this work we specifically focus on b…
Random Measures, ANOVA Models and Quantifying Uncertainty in Randomized Controlled Trials
Caleb Deen Bastian, Herschel Rabitz, Grzegorz A Rempala
The paper introduces a novel approach to global sensitivity analysis, grounded in the variance-covariance structure of random variables derived from random measures. The proposed m…
Equivalence of Mass Action and Poisson Network SIR Epidemic Models
Grzegorz A. Rempala
This brief note highlights a largely overlooked similarity between the SIR ordinary differential equations used for epidemics on the configuration model of a Poisson network and th…
Asymptotic normality through factorial cumulants and partitions identities
Konstancja Bobecka, Pawel Hitczenko, Fernando Lopez-Blazquez +2
In the paper we develop an approach to asymptotic normality through factorial cumulants. Factorial cumulants arise in the same manner from factorial moments, as do (ordinary) cumul…