Applications of martingale theory to some epidemic models

DOI10.2307/3212953zbMath0446.92020OpenAlexW4242155683MaRDI QIDQ3892123

Philippe Picard

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/3212953

zbMATH Keywords

parameter estimationstopping timeepidemic modelsend of epidemiccarrier borne epidemic processdimension of epidemicKingman martingales

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stopping times; optimal stopping problems; gambling theory (60G40) Martingales and classical analysis (60G46)

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SIR epidemics with stochastic infectious periods ⋮ RISK MODELS IN INSURANCE AND EPIDEMICS: A BRIDGE THROUGH RANDOMIZED POLYNOMIALS ⋮ Abel-Gontcharoff polynomials, parking trajectories and ruin probabilities ⋮ SIR epidemics driven by Feller processes ⋮ Applications of martingale theory to carrier-borne epidemic models with time-dependent parameters ⋮ SIR epidemic models with general infectious period distribution ⋮ Epidemic risk and insurance coverage ⋮ A general approach to the integral functionals of epidemic processes ⋮ Density‐dependent birth and death processes with immigration ⋮ Distribution of the final state and severity of epidemics with fatal risk ⋮ Martingale generating functions for Markov chains ⋮ Polynomial structures in order statistics distributions

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