Nonparametric estimation of the offspring distribution and the mean for a controlled branching process

DOI10.1007/BF02595782zbMath1069.62064OpenAlexW2008857350MaRDI QIDQ2387487

Rodrigo Martínez, Inés M. del Puerto, Miguel González

Publication date: 5 September 2005

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02595782

zbMATH Keywords

asymptotic behaviourmaximum likelihood estimatorsmethod of moments estimators

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Bayesian Analysis for Controlled Branching Processes ⋮ Estimation of the variance for a controlled branching process ⋮ Maximum likelihood estimation and expectation-maximization algorithm for controlled branching processes ⋮ Bayesian inference for controlled branching processes through MCMC and ABC methodologies ⋮ 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 ⋮ Joint estimation of offspring mean and offspring variance of controlled branching process ⋮ Parameter estimation in branching processes with almost sure extinction

Cites Work

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• On the almost sure convergence of controlled branching processes
• Estimation of the mean and the initial probabilities of a branching process
• Analogies between Galton–Watson Processes and $\varphi$-Branching Processes
• On the class of controlled branching processes with random control functions

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