Symmetric sampling procedures, general epidemic processes and their threshold limit theorems

From MaRDI portal
Publication:3744003

DOI10.2307/3214172zbMath0605.92009OpenAlexW2335459461MaRDI QIDQ3744003

Anders Martin-Löf

Publication date: 1986

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214172




Related Items (45)

A central limit theorem with applications to percolation, epidemics and Boolean models.The critical window in random digraphsUnusually large components in near-critical Erdős–Rényi graphs via ballot theoremsPoisson approximations for epidemics with two levels of mixing.Law of large numbers for the SIR model with random vertex weights on Erdős-Rényi graphRelaxation of monotone coupling conditions: Poisson approximation and beyondA test of homogeneity versus a specified heterogeneity in an epidemic modelMultitype randomized Reed-Frost epidemics and epidemics upon random graphsMean-field conditions for percolation on finite graphsCollective epidemic modelsOn finite exchangeable sequences and their dependenceLarge deviations of the greedy independent set algorithm on sparse random graphsPhase transition in random intersection graphs with communitiesEpidemics on networks with preventive rewiringThe probability of unusually large components for critical percolation on random \(d\)-regular graphsRISK MODELS IN INSURANCE AND EPIDEMICS: A BRIDGE THROUGH RANDOMIZED POLYNOMIALSReproduction numbers for epidemic models with households and other social structures. I: Definition and calculation of \(R_{0}\)Respondent-driven sampling on directed networksBimodal epidemic size distributions for near-critical SIR with vaccinationA stochastic SIR network epidemic model with preventive dropping of edgesCentral limit theorems for SIR epidemics and percolation on configuration model random graphsA chain binomial epidemic with asymptomatics motivated by COVID-19 modellingModeling computer virus prevalence with a susceptible-infected-susceptible model with reintroductionBootstrap percolation on the random graph \(G_{n,p}\)Network epidemic models with two levels of mixingExploring hypergraphs with martingalesApproximating the Reed-Frost epidemic processAnalysis of a stochastic SIR epidemic on a random network incorporating household structureThe critical random graph, with martingalesCritical percolation on random regular graphsSusceptibility sets and the final outcome of collective Reed-Frost epidemicsCritical epidemics, random graphs, and Brownian motion with a parabolic driftA power law of order 1/4 for critical mean-field Swendsen-Wang dynamicsNonstationarity and randomization in the Reed-Frost epidemic modelSIR epidemics on a Bernoulli random graphMixed Poisson approximation in the collective epidemic modelAsymptotic normality of the size of the giant component via a random walkSusceptible-infected epidemics on evolving graphsLimit theorems for a random graph epidemic modelLimit theorems and tests for within family clustering in epidemic modelsA threshold limit theorem for a multitype epidemic modelThe correlation structure of epidemic modelsLarge deviations for discrete-time epidemic modelsAsymptotic normality of the size of the giant component in a random hypergraphA general model for stochastic SIR epidemics with two levels of mixing




This page was built for publication: Symmetric sampling procedures, general epidemic processes and their threshold limit theorems