Journal of Applied Probability · 2002 · 45 citations · 9 references
EngineeringMathematicsPopulation EcologyProbability TheoryStochastic ProcessesBranching ProcessesContinuous-time Stochastic ProcessesControl TheoryMarkov ChainsMarkov ProcessesStochastic ControlControl FunctionsFunctions Of Random VariablesPopulation SizeSurvival ProbabilityTheoretical Probability
In this paper, the class of controlled branching processes with random control functions introduced by Yanev (1976) is considered. For this class, necessary and sufficient conditions are established for the process to become extinct with probability 1 and the limit probabilistic behaviour of the population size, suitably normed, is investigated.
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Introduction to Probability Theory.
H. C. Fryer, Paul G. Hoel, Sidney C. Port et al. · Journal of the American Statistical Association · 1972 · 808 citations