Author:
Bingham N. H.,Doney R. A.
Abstract
We obtain results connecting the distribution of the random variablesYandWin the supercritical generalized branching processes introduced by Crump and Mode. For example, if β > 1,EYβandEWβconverge or diverge together and regular variation of the tail of one ofY, Wwith 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
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