Interventions in GARCE branching processes with application to Ebola virus data

DOI10.1007/s11009-017-9588-xzbMath1394.60086OpenAlexW2751396050MaRDI QIDQ1657817

Irene Hueter

Publication date: 14 August 2018

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-017-9588-x

zbMATH Keywords

phase transitionextinctioninterventionslevel shiftbranching processes in random environmentEbola virus disease outbreakGARCE

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Epidemiology (92D30) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Unnamed Item
• Modeling overdispersed or underdispersed count data with generalized Poisson integer-valued GARCH models
• Generalized autoregressive conditional heteroscedasticity
• Statistical data analysis of the 1995 Ebola outbreak in the democratic republic of Congo
• The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda
• Branching processes in generalized autoregressive conditional environments
• Integer-Valued GARCH Process
• Interventions in INGARCH processes
• On Branching Processes in Random Environments
• On Branching Processes with Random Environments: I: Extinction Probabilities

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