Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution

DOI10.1016/j.jspi.2015.04.009zbMath1326.62176OpenAlexW2057177203MaRDI QIDQ897640

Michael D. Perlman, Peter Guttorp

Publication date: 7 December 2015

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2015.04.009

zbMATH Keywords

predictionhypothesis testingextinctionstochastic orderingendangered speciesepidemicexplosionleast favorable distributionsupercriticalsequential probability ratio testGalton-Watson branching processsubcritical

Mathematics Subject Classification ID

Epidemiology (92D30) Inequalities; stochastic orderings (60E15) Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) Sequential statistical analysis (62L10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes: hypothesis testing (62M02)

Related Items

Approximate Bayesian computation in controlled branching processes: the role of summary statistics ⋮ Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution ⋮ Sub- or supercritical transmissibilities in a finite disease outbreak: symmetry in outbreak properties of a disease conditioned on extinction ⋮ Tail generating functions for extendable branching processes

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