Limit theorems and tests for within family clustering in epidemic models

DOI10.1080/03610929708831961zbMath0913.92023OpenAlexW2019332374MaRDI QIDQ4226907

Tom Britton

Publication date: 26 April 1999

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929708831961

zbMATH Keywords

weak convergencescore testMarkov counting processeswithin family infectivity

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Signal detection and filtering (aspects of stochastic processes) (60G35)

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Cites Work

• Unnamed Item
• A test of homogeneity versus a specified heterogeneity in an epidemic model
• The infectiousness of a disease in a community of households
• Approximation Theorems of Mathematical Statistics
• A Generalized Stochastic Model for the Analysis of Infectious Disease Final Size Data
• Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
• Generalisations of Two Tests for the Detection of Household Aggregation of Disease
• Tests to Detect Clustering of Infected Individuals within Families
• A Test to Detect Within‐family Infectivity when the Whole Epidemic Process is Observed
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes
• Statistical models based on counting processes

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