An application of a martingale central limit theorem to the standard epidemic model

DOI10.1016/0304-4149(81)90023-5zbMath0454.60026OpenAlexW2075860494MaRDI QIDQ1149689

Ray Watson

Publication date: 1981

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(81)90023-5

zbMATH Keywords

estimationsize distributionepidemic processmartingale central limit theorem

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Population dynamics (general) (92D25)

Related Items

A transmission model for a disease with some fatalities, On the size of a rumour, An inference procedure for conflict models, Hybrid Markov chain models of S-I-R disease dynamics, Dynamic population epidemic models, Network epidemic models with two levels of mixing, Martingale generating functions for Markov chains

Cites Work

• Dependent central limit theorems and invariance principles
• A useful random time-scale transformation for the standard epidemic model
• On a functional central limit theorem for Markov population processes
• The Asymptotic Analysis of a Stochastic Model of an Epidemic