Bayesian conjugate analysis of the Galton-Watson process

DOI10.1007/BF02595856zbMath0954.62027OpenAlexW2076114157MaRDI QIDQ1580816

Manuel Mendoza, Eduardo Gutiérrez-Peña

Publication date: 14 September 2000

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02595856

zbMATH Keywords

branching processforecastingpopulation growthDirichlet distributionoffspring distributionreproduction mean

Mathematics Subject Classification ID

Bayesian inference (62F15) Markov processes: estimation; hidden Markov models (62M05) Inference from stochastic processes (62M99) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Bayesian Analysis for Controlled Branching Processes ⋮ Bayesian inference for controlled branching processes through MCMC and ABC methodologies ⋮ A Bayesian version of Galton-Watson for population growth and its use in the management of small population ⋮ Estimation of parameters in biological species with several mating and reproduction alternatives ⋮ Asymptotics of Posteriors for Binary Branching Processes ⋮ Bayesian estimation in the class of bisexual branching processes with population-size dependent mating ⋮ Mathematical modeling in biological populations through branching processes. application to salmonid populations ⋮ Non-parametric Bayesian estimation for multitype branching processes through simulation-based methods ⋮ On asymptotic posterior normality for controlled branching processes ⋮ Simulation Branching Processes by Mixing Distributions

Cites Work

• Bayesian non-parametric estimation for age-dependent branching processes
• Nonparametric estimation for Galton-Watson type process
• What can or can't be estimated in branching and related processes?
• Asymptotic normality under transformations. A result with Bayesian applications
• ON ASSESSING THE POTENTIAL SEVERITY OF AN OUTBREAK OF A RARE INFECTIOUS DISEASE: A BAYESIAN APPROACH
• Estimation of the mean and the initial probabilities of a branching process
• Fitting a Model to the Growth of Yeast Colonies
• An invariant form for the prior probability in estimation problems
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