Abstract
We consider a branching process in which each individual reproduces independently of all others and has probability aj(j = 0, 1, · · ·) of giving rise to j progeny in the following generation. It is assumed, without further comment, that 0 < a0, a0 + a1 < 1.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference24 articles.
1. Pakes A. (1969) Further results on the critical Galton-Watson process with immigration. J. Aust. Math. Soc. To appear.
2. The Galton-Watson process with mean one and finite variance;Kesten;Teor. Veroyat. Primen.,1966
3. Corrections and comments on the paper “A branching process allowing immigration”;Heathcote;J. R. Statist. Soc. B,1966
4. Branching Processes
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