Geometric growth for stochastic difference equations with application to branching populations

DOI10.3150/bj/1161614953zbMath1151.60037OpenAlexW2000821025MaRDI QIDQ882889

Manuel Molina, Miguel González, Inés M. del Puerto

Publication date: 24 May 2007

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1161614953

zbMATH Keywords

geometric growthstochastic difference equationbrancking processes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Maximum likelihood estimation and expectation-maximization algorithm for controlled branching processes ⋮ Diffusion approximation of an array of controlled branching processes ⋮ Unnamed Item ⋮ Bisexual branching processes in a genetic context: rates of growth for Y-linked genes ⋮ 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

Cites Work

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• Asymptotic growth of controlled Galton-Watson processes
• Estimation of the variance for a controlled branching process
• Nonparametric estimation of the offspring distribution and the mean for a controlled branching process
• Limit behaviour for a supercritical bisexual Galton-Watson branching process with population-size-dependent mating
• On the limit behaviour of a superadditive bisexual Galton–Watson branching process
• A limit theorem for population-size-dependent branching processes
• Geometric rate of growth in Markov chains with applications to population-size-dependent models with dependent offspring
• Bisexual Galton–Watson branching processes with superadditive mating functions
• On recurrence and transience of growth models
• Controlled Galton-Watson process and its asymptotic behavior
• A strong law and a central limit theorem for controlled Galton-Watson processes
• ESTIMATION OF THE OFFSPRING DISTRIBUTION AND THE MEAN VECTOR FOR A BISEXUAL GALTON-WATSON PROCESS
• Bisexual Galton-Watson branching process with population-size-dependent mating
• On the geometric growth in controlled branching processes with random control function
• Branching Processes
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
• Extinction conditions for certain bisexual Galton-Watson branching processes
• Branching processes in biology

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