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On some classes of population-size-dependent Galton–Watson processes

  • Reinhard Höpfner (a1)

Abstract

Some classes of population-size-dependent Galton–Watson processes {Z(t)} t=0,1, …, whose transition probability generating functions allow for certain upper or lower bounds, can be treated by means of functional iteration methods. Criteria for almost certain extinction are obtained as well as gammatype limit distributions for Z(t)/t as t → ∞ the results can be stated under conditions on moments of the reproduction distributions.

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On some classes of population-size-dependent Galton–Watson processes

  • Reinhard Höpfner (a1)

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