Asymptotic inference for partially observed branching processes

DOI10.1239/AAP/1324045703zbMath1230.62108OpenAlexW2018103891MaRDI QIDQ3111062

Victor M. Panaretos, Andrea Kvitkovičová

Publication date: 17 January 2012

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

Full work available at URL: https://doi.org/10.1239/aap/1324045703

zbMATH Keywords

consistencymartingalesasymptotic distributionsepidemic modelstable convergencepartial observationGalton-Watson branching process

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Asymptotic inference for non-supercritical partially observed branching processes ⋮ Estimation of the mean in partially observed branching processes with general immigration ⋮ Parameter estimation for discretely observed linear birth‐and‐death processes ⋮ Statistical inference for partially observed branching processes with immigration ⋮ Estimation in second order branching processes with application to swine flu data ⋮ Asymptotic inference for partially observed branching processes

Cites Work

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• A central limit theorem for martingales and an application to branching processes
• Strong approximations for epidemic models
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• Modeling and Real-Time Prediction of Classical Swine Fever Epidemics
• Asymptotic inference for partially observed branching processes
• Estimation in branching processes with restricted observations
• The Expected Value and Variance of the Reciprocal and Other Negative Powers of a Positive Bernoullian Variate

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