Approximation of epidemic models by diffusion processes and their statistical inference

DOI10.1007/s00285-014-0777-8zbMath1308.62040arXiv1305.3492OpenAlexW2075389360WikidataQ42222100 ScholiaQ42222100MaRDI QIDQ2512950

Romain Guy, Elisabeta Vergu, Catherine Larédo

Publication date: 2 February 2015

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3492

zbMATH Keywords

diffusion approximationepidemicsminimum contrast estimatorstime-dependent processes

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Diffusion processes (60J60) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (8)

Detecting and estimating intensity of jumps for discretely observed \(\mathrm{ARMA}D(1,1)\) processes ⋮ Gaussian process approximations for fast inference from infectious disease data ⋮ Some estimation problems in epidemic modeling ⋮ Adaptive inference for small diffusion processes based on sampled data ⋮ Statistical inference for unknown parameters of stochastic SIS epidemics on complete graphs ⋮ Inference for partially observed epidemic dynamics guided by Kalman filtering techniques ⋮ Hybrid estimators for small diffusion processes based on reduced data ⋮ Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics

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