Sampling a branching tree

DOI10.1016/0304-4149(89)90093-8zbMath0687.62070OpenAlexW2065235917MaRDI QIDQ1263205

Philip McDunnough, Ellen Maki

Publication date: 1989

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(89)90093-8

zbMATH Keywords

likelihoodasymptotic normalitymaximum likelihood estimatorinferencepower series distributionsoffspring distributionslimiting joint distributionsprobability of selecting different familiesrates of covergencesampling of a Galton-Watson branching treevector process of family sizes

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05)

Related Items (3)

Branching processes. II ⋮ Limit laws of estimators for critical multi-type Galton-Watson processes ⋮ What can or can't be estimated in branching and related processes?

Cites Work

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• Consistent estimation in partially observed random walks
• Asymptotic conditional inference for the offspring mean of a supercritical Galton-Watson process
• What can or can't be estimated in branching and related processes?
• Further remarks on asymptotic normality of likelihood and conditional analyses
• On asymptotic ancillarity and inference for Yule and regular nonergodic processes
• Exact distributions of kin numbers in a Galton-Watson process
• On the non-existence of consistent estimates in Galton-Watson processes
• Estimation of the mean and the initial probabilities of a branching process
• A NOTE ON MAXIMUM LIKELIHOOD ESTIMATION FOR SIMPLE BRANCHING PROCESSES
• Branching Processes

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