ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 65, 1 (1996)
pp. 125-128
THE MODIFICATION OF THE GALTON-WATSON PROCESS
J. KALAS
Abstract.
In the paper we study the following modification of the classical Galton-Watson process. We suppose, starting with the first generation, that a particle of some generation ``lives to see'' the time of generating of the random number of new particles with the probability $p$. It is shown that the probability of the destruction of the population is equal to the smallest root of the equation $F(p\cdot s + q) = s$ ($q=1-p$).
AMS subject classification.
60J80
Keywords.
Branching process, generating function, the probability of the destruction of the population
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