Generalized Markov branching processes with state-dependent offspring distributions

DOI10.1007/BF00534952zbMath0506.60085OpenAlexW2057999614MaRDI QIDQ4743546

Petra Küster

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534952

zbMATH Keywords

state-dependent offspring distributionssupercritical Markov branching processes

Mathematics Subject Classification ID

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

Related Items (5)

Recurrence and Transience of Near-Critical Multivariate Growth Models: Criteria and Examples ⋮ Branching processes. II ⋮ Probabilistic approach in weighted Markov branching processes ⋮ Extinction and explosion of nonlinear Markov branching processes ⋮ Branching processes with dependence but homogeneous growth

Cites Work

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• Criteria for the recurrence or transience of stochastic process. I
• Convergence rates for branching processes
• Extinction probability, regularity and asymptotic growth of Markovian populations
• Modes of growth of counting processes with increasing arrival rates
• The asymptotic behaviour of birth and death and some related processes
• Some limit theorems for Markov branching processes
• Taboo extinction, sojourn times, and asymptotic growth for the Markovian birth and death process

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