Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration

DOI10.1016/0025-5564(71)90086-1zbMath0224.60042OpenAlexW4237557604MaRDI QIDQ2548454

Eugene Seneta, Christopher C. Heyde

Publication date: 1971

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(71)90086-1

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Related Items (14)

Branching processes. I ⋮ On asymptotic normality of sequential estimators for branching processes with immigration ⋮ Conditional Least Squares Estimators for the Offspring Mean in a Subcritical Branching Process with Immigration ⋮ Some asymptotic results for the branching process with immigration ⋮ Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration ⋮ Estimation of the offspring mean in a controlled branching process with a random control function ⋮ Asymptotic distribution of the CLSE in a critical process with immigration ⋮ On sequential estimation for branching processes with immigration. ⋮ Estimation of the offspring mean in a supercritical branching process with non-stationary immigration ⋮ Non-parametric estimation in the Galton-Watson process ⋮ Limit theorems for a Galton-Watson process with immigration in varying environments ⋮ Some results for the supercritical branching process with immigration ⋮ Asymptotically Normal Estimators for the Offspring Mean in the Branching Process with Immigration ⋮ Identification of multitype branching processes

Cites Work

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• A note on the supercritical Galton-Watson process with immigraiton
• Limit theorems for decomposable multi-dimensional Galton-Watson processes
• On the supercritical Galton-Watson process with immigration
• On Estimating the Expected Number of Direct Descendants of a Particle in a Branching Process
• Some almost sure convergence theorems for branching processes
• An invariance principle and some convergence rate results for branching processes
• Some central limit analogues for supercritical Galton-Watson processes

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