Estimation of the infection parameter of an epidemic modeled by a branching process

DOI10.1214/14-EJS948zbMath1320.60147MaRDI QIDQ470501

Sophie Pénisson

Publication date: 12 November 2014

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1414588190

zbMATH Keywords

estimationconsistencyasymptotic normalityepidemiologyconditioned branching processmultitype branching processinfection parameter

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Epidemiology (92D30) Applications of statistics to biology and medical sciences; meta analysis (62P10) General nonlinear regression (62J02) Markov processes: estimation; hidden Markov models (62M05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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A Multi-type Branching Process Model for Epidemics with Application to COVID-19 in India ⋮ On tail behaviour of stationary second-order Galton-Watson processes with immigration ⋮ Mathematical Modeling of the Population Dynamics of Long-Lived Raptor Species: Application to Eurasian Black Vulture Colonies ⋮ Hard harvesting of a stochastically changing population ⋮ Regularly varying nonstationary second-order Galton–Watson processes with immigration

Cites Work

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• Martingale central limit theorems and asymptotic estimation theory for multitype branching processes
• Limit theorems and estimation theory for branching processes with an increasing random number of ancestors
• Branching Processes
• Branching Processes

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