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Criterion for unlimited growth of critical multidimensional stochastic models
Published online by Cambridge University Press: 11 January 2017
Abstract
We give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient conditions for recurrence and transience for critical multitype Galton–Watson with immigration processes and also significantly improve some results on multitype size-dependent Galton–Watson processes.
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- Copyright © Applied Probability Trust 2017
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