On the limit behavior of a supercritical bisexual Galton–Watson branching process with immigration of mating units

DOI10.1081/SAP-120000755zbMath0988.60083OpenAlexW2042927632MaRDI QIDQ2765174

Manuel Mota, Manuel Molina, Miguel González

Publication date: 30 June 2002

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

Full work available at URL: https://doi.org/10.1081/sap-120000755

zbMATH Keywords

limit theoremsalmost sure convergence\(L^1\)-convergencesuperadditive functionsbisexual Galton-Watson processesbisexual models with immigration

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

On \(L^\alpha\)-convergance \((1\leq\alpha\leq 2)\) for a bisexual branching process with population-size dependent mating ⋮ Limiting behaviour for superadditive bisexual Galton-Watson processes in varying environments ⋮ On the asymptotic growth for a bisexual Galton-Watson branching process in varying environments ⋮ Bisexual Galton-Watson branching processes in random environments ⋮ Two-sex branching models with random control on the number of progenitor couples ⋮ A class of controlled bisexual branching processes with mating depending on the number of progenitor couples ⋮ Weighted conditional least square estimators for bisexual branching processes with immigration ⋮ MOMENT ESTIMATION IN THE CLASS OF BISEXUAL BRANCHING PROCESSES WITH POPULATION–SIZE DEPENDENT MATING ⋮ Bisexual Galton‐Watson Branching Process in Varying Environments ⋮ Bisexual branching processes with offspring and mating depending on the number of couples in the population ⋮ Two-Sex Branching Processes with Offspring and Mating in a Random Environment

Cites Work

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• On the partial and total progeny of a bisexual Galton-Watson branching process
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• Extinction conditions for certain bisexual Galton-Watson branching processes