Geometric rate of growth in Markov chains with applications to population-size-dependent models with dependent offspring

DOI10.1080/07362998608809091zbMath0606.60071OpenAlexW2071802039MaRDI QIDQ3745005

Harry Cohn, Fima C. Klebaner

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/07362998608809091

zbMATH Keywords

asymptotic behaviourpopulation sizeGalton-Watson processdensity-dependent population models

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Branching processes. II ⋮ Geometric growth for stochastic difference equations with application to branching populations ⋮ OnL²-Convergence in a Class of Homogeneous Multitype Markov Chains ⋮ Multitype population-size-dependent branching process with dependent offspring ⋮ Resource dependent branching processes and the envelope of societies ⋮ Multitype population size-dependent branching processes with dependent offspring

Cites Work

• On mixing sequences of sets
• Geometric rate of growth in population-size-dependent branching processes
• A limit theorem for population-size-dependent branching processes
• Limit behaviour for stochastic monotonicity and applications
• On the convergence of stochastically monotone sequences of random variables and some applications
• On the norming constants occuring in convergent Markov chains
• On the fluctuation of stochastically monotone Markov chains and some applications

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