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Asymptotic properties of super-critical branching processes II: Crump-Mode and Jirina processes
Published online by Cambridge University Press: 01 July 2016
Abstract
We obtain results connecting the distribution of the random variables Y and W in the supercritical generalized branching processes introduced by Crump and Mode. For example, if β > 1, EYβ and EWβ converge or diverge together and regular variation of the tail of one of Y, W with non-integer exponent β > 1 is equivalent to regular variation of the other. We also prove analogous results for the continuous-time continuous state-space branching processes introduced by Jirina.
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- Copyright © Applied Probability Trust 1975
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