Diffusion approximation of an array of controlled branching processes

DOI10.1007/s11009-012-9285-8zbMath1269.60070OpenAlexW2068024969MaRDI QIDQ1930623

Miguel González, Inés M. del Puerto

Publication date: 11 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11009-012-9285-8

zbMATH Keywords

diffusion processesparametric bootstrapweak convergence theoremcontrolled branching processesweighted conditional least squares estimation

Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Stochastic processes (60G99) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes (60J99)

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Cites Work

• Weak convergence results for multiple generations of a branching process
• Geometric growth for stochastic difference equations with application to branching populations
• Estimation of the offspring mean in a controlled branching process with a random control function
• Bootstrap of the offspring mean in the critical process with a non-stationary immigration
• Invalidity of bootstrap for critical branching processes with immigration
• On \(L^2\)-convergence of controlled branching processes with random control function
• Limiting distribution for subcritical controlled branching processes with random control function
• A modified bootstrap for branching processes with immigration
• A counterpart of the Borel-Cantelli lemma
• On the class of controlled branching processes with random control functions
• On the geometric growth in controlled branching processes with random control function
• Fluctuation limit of branching processes with immigration and estimation of the means
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