Asymptotic behaviour of the S-stopped branching processes with countable state space

Details Asymptotic behaviour of the S-stopped branching processes with countable state space Asymptotic behaviour of the S-stopped branching processes with countable state space

2011-08-06

arxiv.org/abs/1108.1513v1

Visn. L'viv. Univ., Ser. Mekh.-Mat. (Bulletin of the Lviv University), Series in Mechanics and Mathematics Vol.67, pp.119-129

Mathematics

Statistics Theory

Scientific paper

he starting process with countable number of types \mu(t) generates a stopped
branching process \xi(t). The starting process stops, by falling into the
nonempty set S. It is assumed, that the starting process is subcritical,
indecomposable and noncyclic. It is proved, that the extinction probability
converges to the cyclic function with period 1.

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