Asymptotic behaviour of critical controlled branching processes with random control functions
2005 ◽
Vol 42
(2)
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pp. 463-477
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Keyword(s):
In this paper, we investigate the asymptotic behaviour of controlled branching processes with random control functions. In a critical case, we establish sufficient conditions for both their almost-sure extinction and for their nonextinction with a positive probability. For some suitably chosen norming constants, we also determine different kinds of limiting behaviour for this class of processes.
2005 ◽
Vol 42
(02)
◽
pp. 463-477
◽
2002 ◽
Vol 39
(4)
◽
pp. 804-815
◽
2002 ◽
Vol 39
(04)
◽
pp. 804-815
◽
2006 ◽
Vol 43
(01)
◽
pp. 159-174
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2006 ◽
Vol 43
(1)
◽
pp. 159-174
◽
1984 ◽
Vol 16
(04)
◽
pp. 697-714
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Keyword(s):
2003 ◽
Vol 40
(04)
◽
pp. 995-1006
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