Asymptotically Normal Estimators for the Offspring Mean in the Branching Process with Immigration

DOI10.1080/03610920802155445zbMath1292.62044OpenAlexW2015485370MaRDI QIDQ5495081

Ibrahim Rahimov

Publication date: 30 July 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920802155445

zbMATH Keywords

consistencybranching processweighted estimatorSkorokhod spaceoffspring meantime-dependent immigration

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Homogeneous branching processes with non-homogeneous immigration ⋮ Variance Estimators in Critical Branching Processes With Non-Homogeneous Immigration

Cites Work

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• Estimation of the offspring mean in a controlled branching process with a random control function
• Some asymptotic results for the branching process with immigration
• A note on strong consistency of least squares estimators in regression models with martingale difference errors
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• Notes on “Estimation theory for growth and immigration rates in a multiplicative process”
• Estimation of the parameters of a branching process from migrating binomial observations
• Asymptotic inference for nearly unstable INAR(1) models
• Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process
• Functional limit theorems for critical processes with immigration
• Extension of a Result of Seneta for the Super-Critical Galton-Watson Process
• Estimation theory for growth and immigration rates in a multiplicative process
• Fluctuation limit of branching processes with immigration and estimation of the means
• Asymptotic inference for spatial autoregression and orthogonality of Ornstein-Uhlenbeck sheets

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