Estimating disease attack rates in heterogeneous interacting populations, with applications to HIV vaccine trials

DOI10.1214/aos/1031833667zbMath0926.62113OpenAlexW2026428803MaRDI QIDQ1359418

Steven G. Self, David Wick

Publication date: 28 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1031833667

zbMATH Keywords

counting processesinfectious diseasesvaccine trialsinteracting processesasymptotics of Nelson-Aalen estimatorsHIV disease

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

Some statistical issues in the design of HIV-1 vaccine and treatment trials

Cites Work

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• Mathematical methods for hydrodynamic limits
• Ordinary differential equations in Banach spaces
• Nonparametric inference for a family of counting processes
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Central limit theorems for local martingales
• Statistical models based on counting processes

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