A strong law and a central limit theorem for controlled Galton-Watson processes

DOI10.2307/3215232zbMath0803.60084OpenAlexW4236234669MaRDI QIDQ4296368

Daniel Pierre-Loti-Viaud

Publication date: 13 July 1994

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215232

zbMATH Keywords

martingaleKesten-Stigum theoremalmost sure convergence theoremsasymptotically supercritical casedensity- dependent branching process

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Harmonic moments of branching processes in random environments ⋮ Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process ⋮ Geometric growth for stochastic difference equations with application to branching populations ⋮ Population-size-dependent branching processes in Markovian random environments

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