Conditions for extinction in certain bisexual Galton–Watson branching processes

DOI10.2307/3213650zbMath0541.60086OpenAlexW1994755924MaRDI QIDQ3327477

David M. Hull

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2307/3213650

zbMATH Keywords

multitype branching processesbisexual Galton-Watson branching processessuper-additive mating functions

Mathematics Subject Classification ID

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

Related Items (14)

Asexual versus promiscuous bisexual Galton-Watson processes: The extinction probability ratio ⋮ Bisexual branching processes to model extinction conditions for Y-linked genes ⋮ ESTIMATION OF THE OFFSPRING DISTRIBUTION AND THE MEAN VECTOR FOR A BISEXUAL GALTON-WATSON PROCESS ⋮ 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 ⋮ Branching processes. II ⋮ On the limit behavior of a supercritical bisexual Galton–Watson branching process with immigration of mating units ⋮ Bayesian inference for bisexual galton-watson processes ⋮ Some Contributions to the Theory of Near-Critical Bisexual Branching Processes ⋮ Bisexual branching processes in a genetic context: the extinction problem for Y-linked genes ⋮ Bisexual Galton‐Watson Branching Process in Varying Environments ⋮ The bisexual Galton-Watson process with promiscuous mating: Extinction probabilities in the supercritical case ⋮ Limit behaviour for a subcritical bisexual Galton-Watson branching process with immigration ⋮ A two-dimensional branching process with migration

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