Author:
Kudratov Kh.,Khusanbaev Ya.
Abstract
UDC 519.21
We consider critical Galton–Watson processes starting from a random number of particles and determine the effect of the mean value of the initial state on the asymptotic state of the process. For processes starting from a large number of particles and satisfying the condition
(
S
)
,
we prove the limit theorem similar to the result of W. Feller. We also prove the theorem under the condition
W
(
n
)
>
0
for critical processes satisfying the conditions
(
S
)
and
(
M
)
.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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